US2624841A - Method of and apparatus for accelerating to high energy electrically charged particles - Google Patents
Method of and apparatus for accelerating to high energy electrically charged particles Download PDFInfo
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- US2624841A US2624841A US666908A US66690846A US2624841A US 2624841 A US2624841 A US 2624841A US 666908 A US666908 A US 666908A US 66690846 A US66690846 A US 66690846A US 2624841 A US2624841 A US 2624841A
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- H—ELECTRICITY
- H05—ELECTRIC TECHNIQUES NOT OTHERWISE PROVIDED FOR
- H05H—PLASMA TECHNIQUE; PRODUCTION OF ACCELERATED ELECTRICALLY-CHARGED PARTICLES OR OF NEUTRONS; PRODUCTION OR ACCELERATION OF NEUTRAL MOLECULAR OR ATOMIC BEAMS
- H05H13/00—Magnetic resonance accelerators; Cyclotrons
- H05H13/04—Synchrotrons
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- This invention relates to methods and apparatus for accelerating electrically charged particles such as ions or electrons to high energy and more particularly to improvements in the art of electromagnetic acceleration of charged particles.
- cyclotrons In the past, two types of electromagnetic accelerators have been available for accelerating charged particles to high energies, namely, cyclotrons and betatrons.
- cyclotrons charged particles are repeatedly subjected to acceleration along a spiral path between two dees disposed in a magnetic field, the acceleration being produced by a series of regularly recurring electrical impulses imparted to the charged particles across accelerating gaps between the dees.
- the magnetic field is maintained substantially constant and the field between the two dees is created by an oscillator operating at constant frequency.
- the success of the cyclotron principle depends upon the fact that the angular velocity of the particles along their paths is substantially constant regardless of their energy so that the particles travelling along curved paths in the magnetic field always enter the accelerating gaps at the same phase of oscillation. Under these circumstances, impulses imparted to the charged particles in the proper phase accumulate to increase the energy of the particles to a high value. However, it has been found that as the energy of the particles increases, the mass of the particles likewise increases, thereby causing their angular velocity to decrease and causing the particles to arrive at the region of acceleration with a gradually increasing phase lag. As a result, when the particles attain very high energies, further impulses imparted to them may decrease the energy possessed by the particles.
- charged particles such as electrons
- the electric field 2 extends along the path of the particles and is changing in one direction only for a considerable period of time, no phase difficulties occur as in the cyclotron and the charged particles are accelerated to higher and higher energy.
- further increase in the energy of the particles is limited by the fact that the particles lose energy by radiation.
- electrons have been accelerated to energies of about m. e. v.
- the demands of modern research and industry require an instrument and a technique which will supply charged particles at very much higher energy.
- one object of this invention is to provide a method and apparatus which will enable the acceleration of charged particles to higher energies than has heretofore been attained by the combined action of magnetic and electric fields.
- Another ob ect of the invention is to provide a method and apparatus for utilizing the energy thus produced.
- a rurtner object of the invention is to provide a method and apparatus employing an oscillating 7 electric field and a magnetic field Ior controlling the energy 01 charged particles by varying the ratio or the magnetic field strength to the frequency of oscillation.
- a still further object of the invention is to provide a method and apparatus employing an oscillating electric held and a magnetic held for increasing the energy of charged particles by increasing the strength of the magnetic field.
- a still further object of the invention is to provide an improved method and apparatus .for directing particles to a target from a region in which the particles have been accelerated to high energy by employing an oscillating electric field and a magnetic field.
- a still further object of the invention is to provide a method and apparatus employing an oscillating electric field and a varying magnetic field for accelerating charged particles along closed paths in an annular region and for directing the particles to a target in the outer portion of that region.
- a still further object of the invention is to closed paths in an annular region and for direct' ing the particles to a target in the inner portion of that region.
- a still further object of the invention is to provide an electromagnetic accelerator utilizing an electromagnet which concentrates flux in an annular region.
- a still further object of the invention is to provide an electromagnetic accelerator employing a varying magnetic field and an electric field with an electrode structure which provides for minimum interaction between that structure and the magnetic field.
- the present invention is based upon the discovery of the phase stability of particles travelling under certain conditions in circular orbits of a cyclotron.
- a conventional cyclotron having two dees disposed in a plane between and parallel to the pole faces of a magnet and defining two radially extending accelerating gaps.
- Charged particles which are travelling in the dees at high energy in circular paths arrive at the gaps in the same phase periodically, only if their energy is such that the angular velocity of the particles is of the value which is proper for matching the frequency of the electric field applied across the accelerating gaps, that is, only if the period of rotation of the particles in their orbits equals the period of the electric field applied across the accelerating gaps.
- the orbits of particles travelling in the dees are stable if. when the particles cross the accelerating gaps at the time the electric field is zero, the field is changing in such a sense that an earlier arrival of the particle results in acceleration and a later arrival of the particle results in deceleration.
- the particle arrives at a gap retarded or lagging in phase, it is decelerated to a lower energy.
- the resultant reduction in energy is accompanied by a reduction in mass of the particle and consequently an increase in angular velocity.
- This increase in angular velocity causes the particle to arrive at the next accelerating gap at an earlier phase, thus partially overcoming the phase lag.
- the particle arrives at a gap advanced or leading in phase it is accelerated.
- the resultant increase in energy is accompanied by an increase in mass of the particle and consequently a decrease in angular velocity.
- This decrease in angular velocity causes the particle to arrive at the next accelerating gap at a later phase, thus partially overcoming the phase lead. From this it can be shown that if the equilibrium value of the energy suitable for matching the frequency of the electric field is sufficiently high, the instantaneous value of the energy of the particle oscillates back and forth On opposite sides of the equilibrium value.
- the energy of a group of particles travelling in substantially circular orbits in a device of the cyclotron type is phase stabilized about the equilibrium value.
- energy of the equilibrium value is referred to hereinafter as the equilibrium or resonance energy.
- the value of the equilibrium or resonance energy depends upon the strength of the magnetic field and the frequency of oscillation of the electric field.
- charged particles are injected at an appropriate phase into an annular region in which a magnetic field is crossed with an oscillating electric field so as to cause the particles to traverse curved orbits concentric with that region at an energy approximating the equilibrium energy and the ratio of the magnetic field strength to the frequency of oscillation is gradually increased.
- the ratio of the magnetic field strength to oscillating frequency is thus increased, on the average a group of charged particles arrive at the accelerating gap early in phase and are thus subjected to further acceleration. As a result the equilibrium energy and hence the average energy of the group of particles is gradually increased.
- the charged particles travelling in curved paths in a magnetic field are repeatedly subjected to lineal, i. e. tangential, acceleration by application of an electric field at constant frequency and the strength of the magnetic field is gradually increased in the region of the particle orbits.
- lineal i. e. tangential
- the particles When the particles have attained the energy desired, they are defiected to a target where their energy is utilized. If the target is located outside the orbits, the magnetic field strength is suddenly reduced in oruer to expand the orbits quickly so that the particle strike the target. If, however, the target is located within the orbits, the magnetic field strength is increased, to contract the orbits and cause the particles to impinge upon the inner target.
- An electromagnetic accelerator embodying the present invention and employing phase stability in its operation is known as a synchrotron.
- Figure l is a schematic wiring diagram of a synchrotron apparatus, the synchrotron itself being shown in partially exploded View;
- Figs. 1a, lb, 10, 1d and 1e are graphs used in explaining the operation of various portions of the synchrotron illustrated in Fig. 1, the graphs being linked by dotted lines to the portion of Fig. 1 to which they apply;
- Fig. 2 is a plan View, partly in section, of an electron injector utilized in the synchrotron of Fig. 1, taken on the line 22 of Fig. 1;
- Fig. 3 is a vector diagram used in explaning the equations of motion of particles travelling in the orbital paths of a synchrotron
- Fig. 4 is a plan view, partly in section and partly fragmentary, showing mechanical details of a synchrotron
- Fig. 5 is an elevational View of a synchrotron of Fig. 4, taken in section on the line 5-5
- Fig. 6 is a fragmentary view showing details of a synchrotron of Fig. 4, taken on the line 6-6;
- Fig. '7 is a graph illustrating the distribution of magnetic flux in the gap of the synchrotron illustrated in Fig. 6;
- Fig. 8 is a diagram utilized in explaining the deflection of particles to the target of the synchrotron of Figs. 4, 5 and 6;
- Fig. 9 is a schematic diagram of another synchrotron
- Figs. 9a, 9b and 9c are graphs used in explaining the operation of various portions of the synchrotron illustrated in Fig. 9, the graphs being linked by dotted lines to the portion of Fig. 9 to which they apply;
- Fig. 10 is a sectional view of an electron injector utilized in the synchrotron of Fig. 10, taken on the line Iii-Ill.
- the synchrotron I comprises a magnetic field structure II and a tank 20 which are symmetrically arranged about a vertical axis a:x.
- the magnetic field structure ll includes lower and upper coaxial pole pieces Ila and III) which define a coaxial flux gap I2 therebetween.
- the pole pieces Ila and Nb are preferably in the form of annular cylinders, thereby defining a flux gap l2 of annular shape in which magnetic flux is concentrated.
- the tank 20, shown partially cut away in Fig. 1 is preferably of annular shape and is so proportioned as to have its main portion disposed within the flux gap 12.
- the faces of the pole pieces Ila and lib which define the gap l2 are so shaped as to produce in the gap I2 a magnetic field which decreases slightly with increasing radial distance from the axis xa:.
- This result may be accomplished, for example, by tapering the tips of the pole pieces Ila and III), as is well known.
- the pole pieces Ha and llb carry two series-connected sections of a magnetizing winding l5-I5. This winding is shunted by a tuning condenser 16 and is connected to a source I! of alternating current such as a 60- cycle supply.
- the alternating current passing through the magnetizing winding produces a varying magnetic field in the gap l2, the positive direction of this field being represented by the 4 arrows l8l8.
- This magnetic field varies in intensity substantially in synchronism with the current through the winding and substantially in phase therewith.
- the magnetic flux is thus concentrated in the region which includes the annular tank 20.
- the annular tank 20 comprises concentric inner and outer cylindrical walls 2
- , 22, 23 and 24 of the tank are preferably composed of electrically conductive material so as to shield the annular chamber or region 25 from external electric fields and the tank walls are preferably grounded.
- a semicircular hollow electrode 30, hereinafter called a cee electrode, is disposed within the chamber 25 concentrically therewith.
- This cee electrode comprises concentric inner and outer semicylindrical walls 3
- the cee electrode 38 is suitably supported from the walls of the tank 20 and electrically insulated therefrom to facilitate applying a radio frequency voltage therebetween.
- a vacuum connection 26 is made to the outer wall 22 of the tank 26 in order to maintain thechamber 25 at a very high vacuum.
- the vacuum connection 26 is connected to suitable pumping apparatus (not shown) adapted to maintain the pressure within the chamber 25 at a suitably low value of the order of 10- mm. Hg.
- An electron injector 40 which is to serve as a source of electrons to be accelerated is supported within the chamber 25 on the inner wall 2
- a target 50 which is to be bombarded by accelerated electrons is suitably supported within the chamber 25 on the outer wall of the vessel.
- the electron injector All and the target 50 are located within the annular cylindrical region which would be defined by the cee electrode 30 if its walls were circularly extended.
- the radial distance of the electron injector 39 from the axis :ca: of the synchrotron It is somewhat greater than the radial distance or" the inner wall 3
- the anode 45 includes an elongated rectangular opening 41 formed in the side wall &3 adjacent the end wall M5, the length of this opening 4! being parallel to the axis :c--a: of the synchrotron it and located on the counterclockwise face of the anode ll.
- a coiled thermionically emissive cathode 48 is insulatingly supported within the anode er, the
- a semicylindrical focusing electrode as is arranged within the anode 4
- This electron injector 4G is thus arranged to direct electrons tangentially from the thermionically emissive cathode d3 through the opening ll in the anode 5
- the synchrotron it utilizes an ejector winding t!l6i3 comprising coil sections disposed in the gap l 2 on opposite sides of the tank 25.
- ejector coil 5lltl serves to expand the orbits of accelerated electrons to enable them to strike the target 59, as more fully explained hereinbelow.
- the filamentary cathode 48 is heated by means of a battery 5i which is connected to opposite ends thereof through a rheost-at ii la.
- the semicylindrical focusing electrode 29 is electrically connected to either end of the filamentary cathode Q8.
- the filamentary cathode t8 and the anode M are connected to opposite terminals of the secondary winding 62 of a transformer 63, the primary winding 54 of which is connected in the output terminals of a voltage pulse generator 66 which is synchronized with the magnetic field set up by the coils 15 by means of a timing device 10.
- the timing device Hi comprises a peaking transformer H which includes a Perrnalloy strip ?2 mounted within the magnetic field produced by the magnetizing winding l 5.
- This peaking transformer comprises primary and secondary windings l3 and M, respectively.
- the primary winding 13 is connected to opposite terminals of a biasing battery 15 through
- the a rheostat I6 and the secondary winding 14 is suitably connected to terminals I8 of the voltage pulse generator 66.
- this timing device Ill an impulse is transmitted from the peaking transformer II to the voltage pulse generator 66 each time the field through the Permalloy strip 12 passes through zero, the total flux through this strip 12 being determined partly by the alternating magnetomotive force created therein by the leakage fiux produced by the magnetizing winding I and partly by the magnetomotive force created therein by the current flowing from the battery I5.
- This timin device 'I'Il serves to cause electrons to be injected into the chamber 25 once in each cycle of operation and to synchronize the injection of electrons with the generation of the magnetic field passing through the gap I2, as more fully explained hereinbelow.
- the desired synchronization is achieved by adjustment of the current passing through the primary winding I3.
- the duration of this voltage pulse is preferably long compared to the period of the radio frequency voltage impressed upon the cee electrode 38.
- the cee electrode at is suitably connected at two spaced points through two coaxial cables 8086 to the output SI of a radio frequency oscillator 82 which includes an output tube 53 having its grid 84 grounded to the tank 25] and its anode 85 and the cathode 88 connected across the output terminals BI. More particularly, the outer conductors 88-88 of the coaxial cables 8B89 terminate at the outer wall 22 of the tank 20 and are grounded and the inner conductors 8989 connect directly with the cee electrode 30. Preferably the connections to the cee electrode 39 and the walls of the tank 20 are made through suitable impedance matching devices (not shown).
- one of the conductors 88-88 includes an extended element 99 for effectively adjusting the relative electrical lengths of the conductors.
- the oscillator 82 is operated at constant frequency and the amplitude of its output is suitably modulated by means of an amplitude modulator 9I which is in turn controlled by a timing device I06.
- This timing device Ito is of the same type as that hereinabove described and comprises a second peaking transformer E35 which includes a Permalloy strip I02 mounted within the magnetic field produced by the magnetizing windin I5.
- This peaking transformer It! also comprises primary and secondary windings I03 and IIM, respectively.
- the primary winding I03 is connected to opposite terminals of a second biasing battery I65 through a second rheostat I06 and the secondary winding M is suitably connected to a control point I88 of the amplitude modulator 9
- timing device I08 an impulse is transmitted from the second peaking transformer Ifll to the amplitude modulator 9i at the moment that the field through the Permalloy strip I62 thereof passes through zero, the total fiux through this strip being determined partly by the alternating magneto-motive force created therein by leakage flux produced by the magnetizing winding I5 and partly by the flux created therein by the current flowing from the battery I05.
- This timing device H30 serves to cause the oscillator to be effectively turned on for a definite time interval once during each cycle of operation and to synchronize the modulation of the oscillator 82 with the generation of the magnetic field passing through the gap I2, as more fully explained hereinbelow. The desired synchronization is achieved by adjustment of the current passing through the primary winding I 03.
- the ejector winding 68-60 is connected to the output of a current pulse generator I It which is suitably connected to the source I! of A. C. power through a phase shifter III.
- This phase shifter III is designed to synchronize the production of current pulses in the output of the current pulse generator III) with the varying magnetic field, as more fully explained hereinbelow.
- the duration of the current pulse produced at the output of the current pulse generator I I0 is preferably long compared to the period of radio frequency output of the oscillator 82.
- the current through the magnetizing winding I5 varies sinusoidally; the intensity of the current starting at zero and then increasing in one direction in the first quarter Q1 of the cycle of operation, then decreasing but remaining in the same direction in the second quarter Q2 of the cycle of operation and then increasing in the third quarter Q3 of the cycle of operation in the opposite direction and then decreasing while still flowing in the latter direction in the fourth quarter Q4 of the cycle of operation.
- Fig. lot there is shown a substantially square wave and this may be referred to as the envelope for the radio frequency oscillations produced by the oscillator 82.
- the output of the oscillator 82 is modulated or keyed to form pulses as shown in Fig.
- each of these pulses consists of a train of radio frequency oscillations.
- the amplitude of the output of the radio frequency oscillator 82 is of a relatively high value during the first quarter Q1 of the cycle of operation and is zero during the other three quarters Q2, Q3 and Q4, this result being achieved partly by suitable design of the oscillator 82 and the amplitude modulator and partly by suitable adjustment of the timing device I00. Referring to Fig.
- the voltage pulse generated at the secondary 62 of the transformer 63 attains a high value shortly after the commencement of the first quarter Q1 of the cycle of operation and is zero at all other times, this result eing achieved partly by the design of voltage pulse generator 66 and partly by adjustment of the timing device It.
- the current generated by the current pulse generator III) and applied to the ejector Winding 60-60 attains a high value at the commencement of the second quarter Q2 of the cycle of operation and is substantially zero at all other times, this result bein achieved by suitable design of the current pulse generator I I0 and the phase shifter I I I.
- the magnetizing winding I5-I5 and the ejector winding 68-450 By suitably arranging the magnetizing winding I5-I5 and the ejector winding 68-450, the magnetic fluxes produced simultaneously thereby are in opposite directions so that at the moment current is applied to the ejector coil 6066 by the current pulse generator IIil, the intensity of the magnetic field strength passin through the tank 20 is rapidly reduced momentarily.
- the magnetizing winding I5-I5 and the ejector winding 68-450 By suitably arranging the magnetizing winding I5-I5 and the ejector winding 68-450, the magnetic fluxes produced simultaneously thereby are in opposite directions so that at the moment current is applied to the ejector coil 6066 by the current pulse generator IIil, the intensity of the magnetic field strength passin through the tank 20 is rapidly reduced momentarily.
- a negative voltage pulse created in the secondary 62 of the transformer 63 is impressed upon the filamentary cathode 48 and focusing electrode 43 for a short interval of time, causing electrons to be projected from the filamentary cathode 43 through the opening 41 in the anode 4
- the path initially followed is in a counterclockwise direction about the axis :r:r of the synchrotron Iii determined primarily by three factors, namely (1) the intensity of the magnetic field, (2) the radial gradient of the magnetic field intensity, and (3) the energy with which the electrons are in ected.
- Some of the electrons arrive at the opening in the cee electrode 39 in phase with the radio frequency voltage impressed thereon and some out of phase.
- Electrons which arrive at the opening 36 at the time that the voltage on the cee electrode 38 is passing through zero enter the space 35 within the cee electrode 33 without acceleration or deceleration.
- Those electrons which arrive at the opening 36 in the cee electrode 3') somewhat out of phase with the voltage on the cee electrode are either accelerated or decelerated, as the case may be, as more fully explained in connection with the discussion of phase stability hereinabove.
- Electrons which arrive at the opening 35 in the ceeelectrode within a predetermined range of phase and energy constitute a group of electrons which are phase-stabilized. Electrons which arrive at the opening 36 of the cee electrode outside of this range are not phase-stabilized but eventually lose their energy and are scattered to the walls of the tank Zii.
- electrons are projected from the injector d) with an energy equal to the equilibrium energy corresponding to the strength of the magnetic field at the time of injection and the radial distance of the point of injection from the axis a:-w, as more fully explained hereinbelow.
- the voltage characteristics of the oscillator 82 and the voltage pulse generator 66 in relationship to the dimensions of the tank 20 and its component parts and the gradient of the magnetic field intensity and the rate of change of the magnetic field intensity at the time of injection, many of the electrons which enter the cee electrode 30 pass the injector 40 in the space between the injector 40 and the target 50in their first orbital revolution within the chamber 25.
- the electrons are injected into the chamber 25 With an energy greater than that corresponding to the radial position of the injector. Insuch a case the electrons injected seek an equilibrium orbit of greater radius and oscillate back and forth across this orbit. Thus, a substantial portion of these electrons miss the injector as they revolve above the axis :c--a: of the synthrotron and become phase stabilized. As this group of electrons alternately enter and emerge from the cee electrode 39 as the magnetic field strength is increased, the equilibrium energy of this group of electrons also increases.
- the mean radius of their orbits likewise increase so that the group of electrons spiral outward from a'position adjacent the inner wall 3
- the radio frequency oscillator 82 is shut off and the intensity of the magnetic field is suddenly reduced, thereby expanding the orbits in which the electrons travel. As these orbits expand, the highly accelerated electrons impinge upon a target 59 where their. energy is utilized such as for the production of X-rays or nuclear reactions, as the case may be. 7 In the remaining portion of the cycle of operation, no electrons are accelerated. Thereafter, the process of injection, acceleration, and orbital expansion is periodically resumed when the intensity of the magnetic field again begins to increase in an upward direction.
- Equation 4 takes into account possible changes in the intensity of the magnetic field and possible changes in the frequency of the radio frequency oscillator 32. Where, as in the present instance, the frequency is constant, Equation 4 reduces to the following:
- Equations 1, 2, 3, 4, 5, and 6 are in electron volts, the magnetic quantities in these equations are in electromagnetic units, angles are in radians and the other quantities are in C. G. S. units. From an analysis of the foregoing equations, it can be shown that if the equilibrium value E0 of the energy increases with time at a sufliciently rapid rate, the instantaneous values of the energy E oscillate back and forth about the equilibrium value E0 and that the amplitude of the difference between the instantaneous value E of the energy and the equilibrium value E0 gradually decreases. It can also be shown that under the same conditions, the instantaneous value of the phase difference oscillates about a zero value.
- Equations 1 and 6 it can be shown. that as the energy of the electrons increases, the orbits asymptotically approach a which, it is to be noted, means that the distance travelled in a single orbital revolution of the electrons approaches the wave length of the radio frequency waves generated by the oscillator 82. In this connection, it is also to be noted that as the energy of the particles increases, the speed of the particles gradually approaches the speed of light, and further increases in energy have very slight effect upon the speed.
- the electrons are injected into the chamber with an energy of about 300 kv. at an initial orbital radius of 78 cm. and are subjected to a radio frequency field of 48 megacycles per sec. and the magnetic field strength changes at 60 cycles per sec. to a value of 10,000 gauss, the electrons are accelerated to an energy of 300 m. e. v. in the first quarter Q1 of the cycle of operation and the final orbital radius of the particles is cm.
- the voltage V-equals 1000 volts the maximum phase shift is 13 andthe electrons revolve about the axis of the magnetic field about 20,000 times, revolving about 22 times during a.
- the instantaneous value of the energy E of the accelerated electrons differs from the equilibrium value Eu at the most by about 6.3% at the. time of injection and then diminishes as the equilibrium energy E0 increases.
- Such an electromagnet I20 comprises lower and upper yokes I2I and I22 interconnected at their ends by upright legs I23 and I24.
- the yokes I2I and I22 and the legs I23 and I24 are of laminated construction, being constructed from a series of soft iron plates rigidly held together by suitable means such as bolts I25.
- the two yokes I2I and I22 are provided with two vertically aligned rectangular openings [25a and I262), respectively, at the centers thereof in order to provide access for workmen to other parts of the apparatus. Between the two yokes I2!
- Lower and upper sections I30 and I3I of a magnetizing coil encircle the lower and upper pole pieces I21 and I28, respectively, these coils being located in the magnetic structure adjacent the yokes IZI and I22, respectively, in the space between the pole pieces I21 and I20 and the legs I23 and I24.
- the tips of the two pole pieces I21 and I28 are preferably so shaped that the flux density of the magnetic field created in the gap I29 between the pole pieces I21 and I28 varies slightly as an inverse function of the distance from the axis m-cc of the magnetic structure I20 and are furthermore so shaped that the gradual diminution of flux densiity in a radial direction extends over as wide a region as possible.
- Such a distribution of magnetic flux facilitates focusing an electron beam in the center of the gap, and the specific gradient of magnetic field intensity is selected to facilitate injected electrons clearing the injector and the walls of the cee electrode,
- the desired distribution of magnetic flux is achieved by tapering the faces of the pole pieces I21 and I28 so as to provide a gradual enlargement of the gap I29 with increasing radius and shimming the peripheral edges of the pole tips so as to provide a reduction in thickness of 'the gap I29 at the inner and outer edges thereof.
- a magnetic flux density that varies inversely as about the five-eighths power of the radial distance, is found suitable, thus establishing a flux density gradient which varies gradually throughout the width of the gap I29. as illustrated in Fig. '7.
- the inner walls of the pole tips are tapered I outwardly toward the gap and are provided with annular grooves I38 and I 31 on the outwardly tapering surfaces, these grooves being adapted to rigidly engage an inner ring I40.
- the outer walls of the pole tips are tapered inwardly toward the gap and are provided with annular grooves I 38 and I39 on the inwardly tapering surfaces, these grooves being adapted to engage an outer ring MI.
- the contacts between the inner and outer rings I49 and MI and the pole pieces I21 and I28 are hermetically sealed to the tank I45 enclosing an annular chamber I45 between the pole pieces I21 and I28.
- a vacuum line I41 including a pump I48 connected to the outer wall I4I of the tank I45 is utilized for maintaining a high vacuum in the chamber I45.
- of the tank I45 are composed of a nonmagnetic electrically insulating nonporous material such as Textilite and the interior surfaces of these walls are metallically coated, such as with silver plate I49, which cooperates with the faces of the pole pieces I21 and I28 to form a chamber which is shielded from external electric fields.
- the inner and outer rings I40 and I4! constitute inner and outer walls. respectively, and the faces of the lower and upper pole pieces I21 and I29 constitute the lower and upper walls. respectively, of a tank which defines an annular chamber in the gap between the pole pieces, which serves as a region for electron acceleration.
- a plurality of radially extending tubes I 50 Protruding from the outer wall MI is a plurality of radially extending tubes I 50. These tubes being located on one side of the tank I45 and being regularly spaced along the circumference thereof.
- the tubes I54 are closed at the outer ends and are preferably composed of nonmagnetic electrically insulating nonporous material, such as silicon bonded glass fiber.
- the interior walls of these tubes are also metallically coated, such as by silver plate.
- a semicircular cee electrode I59 is supported within the chamber I45 by means of supporting arms or stems I! which are arranged coaxially with the tubes I59.
- These support arms I5I are preferably composed of metallic or ceramic materials. If composed of the latter, they are preferably metallically coated with a surface which is in electrical communication with the other coatings on the interior surfaces of the tank walls I M and I 4
- the support arms and tubes comprise impedance matching coaxial lines for supplying electrical energy to the interior of the tank I45. as more fullv ex plained hereinbelow.
- the cee electrode I69 comprises an upright semicircular rigid metallic member IBI arranged near the 14 outer edge of the gap I29 between the pole pieces I21 and I 28 and also comprises a plurality of metallic hairpin-shaped members I62 arranged in vertical planes and extending radially inward toward the axis 03-9: of the tank.
- the semicircular member IEI and the hairpin members IE2 together define a semicircular or cee electrode I55 which encloses a semicircular region which is shielded from external electric fields, thus defining a substantially electrically fieldfree semicircular region in one-half of the tank.
- the semicircular region in the remaining half of the tank is also substantially free of electric fields.
- an oscillating electric field is created at the diametrically opposed openings of the cee electrode I69, thus in effect establishing two accelerating gaps at these positions.
- the cee electrode I55 is enclosed by an auxiliary concentric shield I55 arranged within the gap I29.
- This shield I65 comprises a plurality of radially extending metallic hairpin members I66 arranged in vertical planes and suitably secured to the outer wall I4I of the tank I45 in electrical-ly conducting relation to the metallic coat ing I49 on the interior surface thereof.
- An ejector winding I18 is arranged within the gap and concentric with the magnetic structure I29.
- This eiector winding comprises lower and upper outer turns I1I-I1I and lower and upper inner turns I12--I12.
- the outer turns I1I-I1I are arranged externally of the maximum orbit indicated by the point P in which accelerated electrons travel.
- the inner turns I12-I12 are arranged internally of this orbit indicated .by the point P.
- the two outer turns I1II1I are connected to carry current in one direction and the two inner turns I12I 12 are connected to carry current in the opposite direction so that an annular magnetic field is created in the region of the orbit P in opposition to the magnetic field produced there by the magnetizing coil.
- An electron in ector I89 is mounted within the chamber I45 adjacent the inner wall I49 of the tank I45 and is supported therein by means of a tubular connection I3! which is hermetically sealed on the inner wall I40 of the tank I45 and extends radially outward thereof toward the axis .r-m.
- This injector is so positioned as to project electrons peripherally within the chamber I46 at such a radial position that the electrons may enter the space within the cee electrode I50. This may be readily achieved by locating the injector I 39 at a point half Way between the openings in the cee electrode I60 and at a greater radial distance from the axis :c-a: of the tank I than the inner wall of the cee electrode I65.
- a target I90 which is to be bombarded by accelerated electrons is suitably supported within the chamber M6 at a position opposite the injector I80, this position being so located that accelerated electrons may be projected thereto by operation of suitable means such as the ejector coil I10.
- this injector may be of the same type as that previously described in connection with Figs. 1 and 2 and that the cathode thereof may be electrically connected to a battery BI and to a source of high voltage, such as the voltage pulse generator ES.
- the cee electrode IE6 is connected to the output of a radio frequency generator such as the oscillator 82 of Fig. 1 by means of coaxial cables I85 having their outer conductors I85 in electrical communication with the portion of the metallic coating M9 within the tube I58 and their inner conductors I81 in electrical communication with the stems I5I.
- the impedances of the coaxial cables I85 when so connected match the impedance of the coaxial lines provided by the tubes I59 and stems Idl.
- the ejector coil is energized and current flows clockwise in the outer turns I II-Ill and counterclockwise in the inner turns Il2--Il'2 thereof, thus creating a fiux indicated by the arrows 282 in opposition to the main fiux 203 through the gap I29 and suddenly reducing the strength of the magnetic field in the region traversed by the electrons after they have attained their full energy, as illustrated in Fig. 8.
- the orbits are expanded and the accelerated elec- 16 trons impinge upon the target I where their energy is utilized.
- FIGs. 9 and 10 there is illustrated a modified synchrotron that also embodies the features of the present invention.
- This synchrotron 2H1 is of a construction similar to that previously described except for the differences pointed out hereinbelow, the main diiierences residing in the location of the target, the omission of the ejector winding, and the constants of the remaining electrical circuits.
- This synchrotron 2H like that previously described, comprises a magnetic field structure 2II provided with annular pole pieces 2
- the pole pieces carry two series-connected sections of the magnetizing winding 2I5--2I5 which is connected to a source 2I'I of alternating current and is shunted by a tuning condenser 2
- the annular tank 229 encloses a cee electrode 236 which is disposed concentrically therein. It also includes an electron injector 240 provided with a box-shaped anode 2 a filamentary cathode 248 and a focusing electrode 249.
- the target 250 which is to be bombarded by accelerated electrons is supported on the end wall 246 of the lectron injector 240, that is, within the minimum radius ofthe orbits in which the electrons are to be accelerated after their first revolution.
- the filamentary cathode 248 of the electron injector 24B is heated by means of a battery 28I which is connected to opposite ends thereof through a rheostat 26Ia and the cathode 248 and the anode 2M of the electron injector 24!] are connected to opposite terminals of the secondary winding 262 of a transformer 263, the primary 284 of which is connected to the output 265 of a voltage pulse generator 266.
- the operation of the pulse generator 266 is synchronized with the magnetic field by means of a timing device 276, as hereinabove described.
- the cee electrode 23B is connected through two coaxial cables 28El28ll to the output 28I of the radio frequency oscillator 282, the output of which is suitably modulated by means of an amplitude modulator 29I which is in turn controlled by a timing device 308, as previously described.
- the amplitude modulator 29I of this synchrotron 2IEI differs from that previously described with respect to the length of the period during which radio frequency voltages appear at the output 28I of the oscillator 282, as more fully described hereinbelow.
- the cycle of operation is divided into four quarters P1, P2, P3 and P4, as illustrated in the graphs represented in Figs. 9a, 9b and 90.
- Fig. 9a it is to be noted that the current through the magnetizing winding 2I52I5 varies sinusoidally, the intensity of the current starting at zero and increasing in one direction in the first quarter P1 of the cycle of operation, reaching its maximum value at the end of the first quarter. Inasmuch as the magnetic flux created in the gap 2!
- the amplitude of the output of the radio frequency oscillator 282 is of a relatively high value throughout a large portion of the first quarter P1 of the cycle of operation and is zero during the remaining portion of the cycle of operation, the output being increased from zero to its maximum value at the commencement of the cycle of operation at about the time that the strength of the magnetic field in the gap is zero and being decreased to zero from its maximum value shortly before the intensity of the magnetic field reaches its maximum value.
- the voltage pulse generated at the secondary 262 of the transformer 263 attains a high value shortly after the commencement of the first quarter P1 of the cycle of operation while the strength of the magnetic field is low and the oscillator output is high and is zero at all other times.
- the energy of the accelerated electrons is increased by increasing the strength of the magnetic field in which the electrons travel during the time that they are subjected'to the influence of an oscillating electric field of constant frequency. It is to be noted, however, that the advantages of the invention may also be attained if the electrons travel in a magnetic field of constant strength and are subjected to the influence of an oscillating electric field, the frequency of which is gradually reduced during the period of acceleration.
- the equilibrium energy of a group of electrons may be increased in accordance with the present invention by increasing the ratio of the magnetic field strength to the frequency of oscillation of the electric field during the period in which acceleration of the electrons is desired.
- electrons are accelerated to high energy by increasing the strength of the magnetic field with or without reducing the frequency of oscillation.
- the ratio of field strength to frequency is changed in this manner, a minimum radial difference between the initial and final orbits is attained, thus effecting an economy in the design of the magnetic field structure required to impart a predetermined energy to the electrons.
- Apparatus for accelerating charged particles to high energy comprising means for establishing a magnetic field, means for projecting charged particles into said field along a path transversely thereof, means including a source of alternating;
- Apparatus for acceleratin charged particles to high energy comprising means for establishing a magnetic field, means for projecting charged particles into said field along a path transversely thereof, means including a source of alternating electric potentials having a constant frequency for accelerating said particles along curved paths in said magnetic field whereby the energy of the particles is increased, and means for increasing.
- Apparatus for accelerating charged particles to high energy comprising means for establishing a magnetic field, means including electrodes for defining two semicircular regions in said magnetic field, each of said regions being substantially free of electric fields, means including a source of alternating electric potentials connected to said electrodes for causing the relative potentials of said regions to oscillate whereby charged particles are rapidly accelerated to and from one region to the other, and means for increasing the ratio of the magnetic field strength to the frequency of said alternating electric potentials as said particles move in said region whereby the resonant energy of the accelerated particles is increased.
- Apparatus for accelerating charged particles to high energy comprising means for establishing a magnetic field, means including electrodes for defining two semicircular regions in said magnetic field, each of said regions being substantially free of electric fields, means including a source of alternating electric potentials having a constant frequency connected to said electrodes for causing the relative potentials of said regions to oscillate whereby charged particles are rapidly accelerated to and from one region to the other, and means for increasing the strength of the magnetic field as said particles move in said regions whereby the resonant energy of the accelerated particles is increased.
- Apparatus for altering the energy of charged particles comprising means for establishing a magnetic field, means defining a closed region for the travel of charged particles along curved paths in said magnetic field, means for altering the strength of said magnetic field, means including electrodes adjacent saidpaths and an oscillator having a constant frequency connected thereto for repeatedly applying electric field forces along said paths, and modulating means cooperating with said field generating means for effectively energizing said electrodes with the output from said oscillator while the strength of said magnetic field is at one value and for efiectively tie-energizing said electrodes when the strength of said magnetic field is at another value.
- Apparatus for accelerating charged particles to high energy comprising means defining a closed region for acceleration of charged particles along curved paths, field generating. means for establishing a time-varying magnetic field in said,
- means including electrodes adjacent said paths and an oscillator having a constant frequency connected thereto for repeatedly accelerating charged particles along said paths, and modulating means cooperating with said field generating means for effectively energizing said electrodes with the output of said oscillator while the strength of said magnetic field is low and for effectively (la-energizing said electrodes when the strength of said magnetic field is high.
- Apparatus for accelerating charged particles to high energy comprising means defining a closed region for acceleration of charged particles along curved paths, field generating means for establishing a time-varying magnetic field in said region transverse to said paths, means including electrodes adjacent said paths and an oscillator having a constant frequency connected thereto for repeatedly accelerating charged paroperating with.
- said field generating means for effectively energizing said electrodes with the output of said oscillator while the strength of said magnetic field is low and for effectively deenergizing said electrodes when the strength of said magnetic field is high, and means also coopcrating with said field generating means for injecting charged particles tangentially into said region while said electrodes are energized.
- Apparatus for generating and utilizing, charged particles of high energy comprising means defining a closed region for acceleration of charged particles along curved paths, field generating means for establishing a time-varying magnetic field in said region transverse to said paths, means including electrodes adjacent said paths and a constant frequency oscillator connected thereto for repeatedly applying electric.
- modulating means cooperating with said field generating means for effectively energizing said electrodes with the output from said oscillator while the strength of said magnetic field is low and for efiectively de-energizing said electrodes when the strength of said magnetic field ishigh whereby the particles attain high energy, a target disposed in said region, and means for altering the strength of said magnetic field after the particles have attained high energy, whereby the highly energized particles impinge upon said target.
- Apparatus for generating and utilizing charged particles of high energy comprising means defining a closed region for acceleration of charged particles along curved paths, field generating means for establishing a time-varying magnetic field in said region traverse to said paths, means including electrodes adjacent said paths and a constant frequency oscillator con-- nected thereto for repeatedly applying electricimpulses to charged particles along said paths, modulating means cooperating with said field generating means for effectively energizing said electrodes with the output of said oscillator while the strength of said magnetic field is low and for effectively de-energizing said electrodes while the strength of said magnetic fieldv is high whereby accelerated charged particles revolve in predetermined orbits at high energy, a target disposed in said region outside saidorbits, and means also cooperating with said field generating means. for deflecting said particles-to said target after they attain high energies;
- Apparatus for; generating and utilizing charged particles to high energies comprising" means defining a. closed region for acceleration of charged particles along curved paths, means for establishing a time-varying magnetic field in said region transverse to said paths, means including electrodes adjacent said paths and a constant frequency oscillator connected thereto for repeatedly applying electric impulses to chargedparticles along said paths, modulating means cooperating with said field generating means for effectively energizing said electrodes with the output from said oscillator while the strength of said magnetic field is low and for effectively dew energizing said electrodes when the strength of said magnetic field is of intermediate value whereby accelerated charged particles revolve in predetermined orbits at high energy, a target disposed. within said orbits.
- magnetic structure including opposed annular pole pieces defining an annular gap therebetween 5 UNITED STATES PATENTS and also including yokes supporting said pole Number Name Date pieces, said yokes being provided with openings 1,948,384 Lawrence Feb. 20, 1934 which communicate with the hollow cylindrical 2,229,572 Jonas Jan. 21, 1941 space enclosed by said pole pieces, an annular 2,394,070 Kerst Feb. 5, 1946 tank disposed in said gap and electrode structure 10 2,394,071 Westendorp Feb. 5, 1946 disposed in said tank for creating electric fields 2,485,409 Pollock et a1 Oct.
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Description
Jan. 6, 1953 E. M. M MILLAN METHOD OF AND APPARATUS FOR ACCELERATING TO HIGH ENERGY ELECTRICALLY CHARGED PARTICLES 5 Sheets-Sheet 1 Filed May 3, 1946 Jan. 6, 1953 E. M. MCMILLAN 2,624,841
METHOD OF AND APPARATUS FOR ACCELERATING TO HIGH ENERGY ELECTRICALLY CHARGED PARTICLES Filed May 3, 1946 5 Sheets-Sheet 2 immw A, g /2.3- A27 /24 w 90 5mm;
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: in ii l/vvz/v TOR fow/NMMcM/L LAN M MILLAN METHOD OF AND APPARATUS FOR ACCELERATI HIGH ENERGY ELECTRICALLY CHARGED PARTICLES Jan. 6, 1953 Filed May 3, 1946 Patented Jan. 6, 1953 METHOD OF AND APPARATUS FOR ACCEL- ERATING TO HIGH ENERGY ELECTRI- CALLY CHARGED PARTICLES Edwin M. McMillan, Berkeley, Calif., assignor t the United States of America as represented by the United States Atomic Energy Commission Application May 3, 1946, Serial No. 665,908
12 Claims.
This invention relates to methods and apparatus for accelerating electrically charged particles such as ions or electrons to high energy and more particularly to improvements in the art of electromagnetic acceleration of charged particles.
In the past, two types of electromagnetic accelerators have been available for accelerating charged particles to high energies, namely, cyclotrons and betatrons. In a cyclotron, charged particles are repeatedly subjected to acceleration along a spiral path between two dees disposed in a magnetic field, the acceleration being produced by a series of regularly recurring electrical impulses imparted to the charged particles across accelerating gaps between the dees. In a cyclotron, the magnetic field is maintained substantially constant and the field between the two dees is created by an oscillator operating at constant frequency. The success of the cyclotron principle depends upon the fact that the angular velocity of the particles along their paths is substantially constant regardless of their energy so that the particles travelling along curved paths in the magnetic field always enter the accelerating gaps at the same phase of oscillation. Under these circumstances, impulses imparted to the charged particles in the proper phase accumulate to increase the energy of the particles to a high value. However, it has been found that as the energy of the particles increases, the mass of the particles likewise increases, thereby causing their angular velocity to decrease and causing the particles to arrive at the region of acceleration with a gradually increasing phase lag. As a result, when the particles attain very high energies, further impulses imparted to them may decrease the energy possessed by the particles. For this reason, the maximum energy which may be imparted to charged particles in a cyclotron is seriously limited by the fact that the mass of the particles increases with their energy. This is especially true when attempts ar made to utilize a cyclotron to accelerate electrons, which are of very low mass. In a cyclotron, singly charged ions have been accelerated to energies of about 40 m. e. v. But very little attempt has been made to accelerate electrons in a cyclotron.
In a betatron, charged particles, such as electrons, are directed along a circular path about the axis of a varying magnetic field having circular symmetry and the electric field induced along the path of the particles by the varying magneticfield is utilized to accelerate the particles to high energy. Because the electric field 2 extends along the path of the particles and is changing in one direction only for a considerable period of time, no phase difficulties occur as in the cyclotron and the charged particles are accelerated to higher and higher energy. Eventually, however, further increase in the energy of the particles is limited by the fact that the particles lose energy by radiation. In a betatron, electrons have been accelerated to energies of about m. e. v. However, the demands of modern research and industry require an instrument and a technique which will supply charged particles at very much higher energy.
Accordingly, one object of this invention is to provide a method and apparatus which will enable the acceleration of charged particles to higher energies than has heretofore been attained by the combined action of magnetic and electric fields.
Another object of the invention is to provide a method and apparatus for accelerating charged particles to energies corresponding to substantial changes in the mass of the particles.
Another ob ect of the invention is to provide a method and apparatus for utilizing the energy thus produced.
A rurtner object of the invention is to provide a method and apparatus employing an oscillating 7 electric field and a magnetic field Ior controlling the energy 01 charged particles by varying the ratio or the magnetic field strength to the frequency of oscillation.
A still further object of the invention is to provide a method and apparatus employing an oscillating electric held and a magnetic held for increasing the energy of charged particles by increasing the strength of the magnetic field.
A still further object of the invention is to provide an improved method and apparatus .for directing particles to a target from a region in which the particles have been accelerated to high energy by employing an oscillating electric field and a magnetic field.
A still further object of the invention is to provide a method and apparatus employing an oscillating electric field and a varying magnetic field for accelerating charged particles along closed paths in an annular region and for directing the particles to a target in the outer portion of that region.
A still further object of the invention is to closed paths in an annular region and for direct' ing the particles to a target in the inner portion of that region.
A still further object of the invention is to provide an electromagnetic accelerator utilizing an electromagnet which concentrates flux in an annular region.
A still further object of the invention is to provide an electromagnetic accelerator employing a varying magnetic field and an electric field with an electrode structure which provides for minimum interaction between that structure and the magnetic field.
The present invention is based upon the discovery of the phase stability of particles travelling under certain conditions in circular orbits of a cyclotron. As an introduction to this principle, consider, for example, a conventional cyclotron having two dees disposed in a plane between and parallel to the pole faces of a magnet and defining two radially extending accelerating gaps. Charged particles which are travelling in the dees at high energy in circular paths arrive at the gaps in the same phase periodically, only if their energy is such that the angular velocity of the particles is of the value which is proper for matching the frequency of the electric field applied across the accelerating gaps, that is, only if the period of rotation of the particles in their orbits equals the period of the electric field applied across the accelerating gaps. The orbits of particles travelling in the dees are stable if. when the particles cross the accelerating gaps at the time the electric field is zero, the field is changing in such a sense that an earlier arrival of the particle results in acceleration and a later arrival of the particle results in deceleration. Under such conditions, if, for any reason, the particle arrives at a gap retarded or lagging in phase, it is decelerated to a lower energy. The resultant reduction in energy is accompanied by a reduction in mass of the particle and consequently an increase in angular velocity. This increase in angular velocity causes the particle to arrive at the next accelerating gap at an earlier phase, thus partially overcoming the phase lag. Likewise, if the particle arrives at a gap advanced or leading in phase, it is accelerated. The resultant increase in energy is accompanied by an increase in mass of the particle and consequently a decrease in angular velocity. This decrease in angular velocity causes the particle to arrive at the next accelerating gap at a later phase, thus partially overcoming the phase lead. From this it can be shown that if the equilibrium value of the energy suitable for matching the frequency of the electric field is sufficiently high, the instantaneous value of the energy of the particle oscillates back and forth On opposite sides of the equilibrium value. In this manner, according to the present invention, the energy of a group of particles travelling in substantially circular orbits in a device of the cyclotron type is phase stabilized about the equilibrium value. For convenience, energy of the equilibrium value is referred to hereinafter as the equilibrium or resonance energy. The value of the equilibrium or resonance energy depends upon the strength of the magnetic field and the frequency of oscillation of the electric field.
To utilize the principle of phase stability for accelerating charged particles to high energy according to the present invention, charged particles are injected at an appropriate phase into an annular region in which a magnetic field is crossed with an oscillating electric field so as to cause the particles to traverse curved orbits concentric with that region at an energy approximating the equilibrium energy and the ratio of the magnetic field strength to the frequency of oscillation is gradually increased. When the ratio of the magnetic field strength to oscillating frequency is thus increased, on the average a group of charged particles arrive at the accelerating gap early in phase and are thus subjected to further acceleration. As a result the equilibrium energy and hence the average energy of the group of particles is gradually increased. In the preferred form of the invention, the charged particles travelling in curved paths in a magnetic field are repeatedly subjected to lineal, i. e. tangential, acceleration by application of an electric field at constant frequency and the strength of the magnetic field is gradually increased in the region of the particle orbits. When the particles have attained the energy desired, they are defiected to a target where their energy is utilized. If the target is located outside the orbits, the magnetic field strength is suddenly reduced in oruer to expand the orbits quickly so that the particle strike the target. If, however, the target is located within the orbits, the magnetic field strength is increased, to contract the orbits and cause the particles to impinge upon the inner target.
An electromagnetic accelerator embodying the present invention and employing phase stability in its operation is known as a synchrotron.
The foregoing and other objects and advantages of the invention will be more readily understood by reference to the following detailed description taken in connection with the accompanying drawings wherein:
Figure l is a schematic wiring diagram of a synchrotron apparatus, the synchrotron itself being shown in partially exploded View;
Figs. 1a, lb, 10, 1d and 1e are graphs used in explaining the operation of various portions of the synchrotron illustrated in Fig. 1, the graphs being linked by dotted lines to the portion of Fig. 1 to which they apply;
Fig. 2 is a plan View, partly in section, of an electron injector utilized in the synchrotron of Fig. 1, taken on the line 22 of Fig. 1;
Fig. 3 is a vector diagram used in explaning the equations of motion of particles travelling in the orbital paths of a synchrotron;
Fig. 4 is a plan view, partly in section and partly fragmentary, showing mechanical details of a synchrotron; I
Fig. 5 is an elevational View of a synchrotron of Fig. 4, taken in section on the line 5-5 Fig. 6 is a fragmentary view showing details of a synchrotron of Fig. 4, taken on the line 6-6;
Fig. '7 is a graph illustrating the distribution of magnetic flux in the gap of the synchrotron illustrated in Fig. 6;
Fig. 8 is a diagram utilized in explaining the deflection of particles to the target of the synchrotron of Figs. 4, 5 and 6;
Fig. 9 is a schematic diagram of another synchrotron;
Figs. 9a, 9b and 9c are graphs used in explaining the operation of various portions of the synchrotron illustrated in Fig. 9, the graphs being linked by dotted lines to the portion of Fig. 9 to which they apply; and
Fig. 10 is a sectional view of an electron injector utilized in the synchrotron of Fig. 10, taken on the line Iii-Ill.
Referring now more particularly to Figs. 1 and 2, there is illustrated an electromagnetic accelerator embodying the present invention and known as a synchrotron. The synchrotron I comprises a magnetic field structure II and a tank 20 which are symmetrically arranged about a vertical axis a:x. The magnetic field structure ll includes lower and upper coaxial pole pieces Ila and III) which define a coaxial flux gap I2 therebetween. The pole pieces Ila and Nb are preferably in the form of annular cylinders, thereby defining a flux gap l2 of annular shape in which magnetic flux is concentrated. Likewise, the tank 20, shown partially cut away in Fig. 1, is preferably of annular shape and is so proportioned as to have its main portion disposed within the flux gap 12. Preferably, the faces of the pole pieces Ila and lib which define the gap l2 are so shaped as to produce in the gap I2 a magnetic field which decreases slightly with increasing radial distance from the axis xa:. This result may be accomplished, for example, by tapering the tips of the pole pieces Ila and III), as is well known. The pole pieces Ha and llb carry two series-connected sections of a magnetizing winding l5-I5. This winding is shunted by a tuning condenser 16 and is connected to a source I! of alternating current such as a 60- cycle supply. The alternating current passing through the magnetizing winding produces a varying magnetic field in the gap l2, the positive direction of this field being represented by the 4 arrows l8l8. This magnetic field varies in intensity substantially in synchronism with the current through the winding and substantially in phase therewith. The magnetic flux is thus concentrated in the region which includes the annular tank 20.
The annular tank 20 comprises concentric inner and outer cylindrical walls 2| and 22 and lower and upper annular walls 23 and 24, respectively, these walls thus forming an annular chamber in the annular gap I2 in which the magnetic fiux is concentrated. The Walls 2|, 22, 23 and 24 of the tank are preferably composed of electrically conductive material so as to shield the annular chamber or region 25 from external electric fields and the tank walls are preferably grounded. A semicircular hollow electrode 30, hereinafter called a cee electrode, is disposed within the chamber 25 concentrically therewith. This cee electrode comprises concentric inner and outer semicylindrical walls 3| and 32, respectively, which are connected by lower and upper semicircular walls 33 and 34, respectively, defining a semicircular region 35 substantially free of electric field and terminating in openings 36 and 31 located at diametrically opposed positions within the chamber 25. The cee electrode 38 is suitably supported from the walls of the tank 20 and electrically insulated therefrom to facilitate applying a radio frequency voltage therebetween. A vacuum connection 26 is made to the outer wall 22 of the tank 26 in order to maintain thechamber 25 at a very high vacuum. The vacuum connection 26 is connected to suitable pumping apparatus (not shown) adapted to maintain the pressure within the chamber 25 at a suitably low value of the order of 10- mm. Hg. Preferably, the tank 20 is operated at a pressure low enough for the mean free path of high energy charged particles travelling therein to be greater than the distance to be travelled by the particles while being accelerated to the energy desired or at least of the same order as the distance to be travelled.
An electron injector 40 which is to serve as a source of electrons to be accelerated is supported within the chamber 25 on the inner wall 2| of the tank 20 at a position opposite the cee electrode 3!] and substantially midway between the two openings 36 and El therein. A target 50 which is to be bombarded by accelerated electrons is suitably supported within the chamber 25 on the outer wall of the vessel. The electron injector All and the target 50 are located within the annular cylindrical region which would be defined by the cee electrode 30 if its walls were circularly extended. More specifically, the radial distance of the electron injector 39 from the axis :ca: of the synchrotron It is somewhat greater than the radial distance or" the inner wall 3| of the cee electrode 3!] from that axis and the radial distance of the target 59 from that axis ;r:z: is somewhat less'than the radial distance of the outer wall 32 of the cee electrode 3!] from that axis-.ra:.
More particularly, as shown in Fig. 2, the electron injector comprises a box-shaped anode 4i having two side walls 42 and 43, respectively, and lower and upper walls =24 and 45 supported from and electrically connected to the inner wall 2! of thetank 2i and also comprises an end wall 46 attached to the side walls 42 and 43 and to the lower and upper walls 44 and Q5. The anode 45 includes an elongated rectangular opening 41 formed in the side wall &3 adjacent the end wall M5, the length of this opening 4! being parallel to the axis :c--a: of the synchrotron it and located on the counterclockwise face of the anode ll. A coiled thermionically emissive cathode 48 is insulatingly supported within the anode er, the
axis of this cathode likewise being parallel to the axis x-x at a radial position opposite the opening l! in the anode M. A semicylindrical focusing electrode as is arranged within the anode 4| concentrically with the filamentary cathode 48 and on the opposite side thereof from the rectangular openin 17. This electron injector 4G is thus arranged to direct electrons tangentially from the thermionically emissive cathode d3 through the opening ll in the anode 5| in a counterclockwise direction in the magnetic field about the axis xx of the synchrotron.
The synchrotron it utilizes an ejector winding t!l6i3 comprising coil sections disposed in the gap l 2 on opposite sides of the tank 25. ejector coil 5lltl serves to expand the orbits of accelerated electrons to enable them to strike the target 59, as more fully explained hereinbelow.
Considering now the electrical circuits of the synchrotron it, the filamentary cathode 48 is heated by means of a battery 5i which is connected to opposite ends thereof through a rheost-at ii la. The semicylindrical focusing electrode 29 is electrically connected to either end of the filamentary cathode Q8. The filamentary cathode t8 and the anode M are connected to opposite terminals of the secondary winding 62 of a transformer 63, the primary winding 54 of which is connected in the output terminals of a voltage pulse generator 66 which is synchronized with the magnetic field set up by the coils 15 by means of a timing device 10. The timing device Hi comprises a peaking transformer H which includes a Perrnalloy strip ?2 mounted within the magnetic field produced by the magnetizing winding l 5. This peaking transformer comprises primary and secondary windings l3 and M, respectively. The primary winding 13 is connected to opposite terminals of a biasing battery 15 through The a rheostat I6 and the secondary winding 14 is suitably connected to terminals I8 of the voltage pulse generator 66. With this timing device Ill, an impulse is transmitted from the peaking transformer II to the voltage pulse generator 66 each time the field through the Permalloy strip 12 passes through zero, the total flux through this strip 12 being determined partly by the alternating magnetomotive force created therein by the leakage fiux produced by the magnetizing winding I and partly by the magnetomotive force created therein by the current flowing from the battery I5. This timin device 'I'Il serves to cause electrons to be injected into the chamber 25 once in each cycle of operation and to synchronize the injection of electrons with the generation of the magnetic field passing through the gap I2, as more fully explained hereinbelow. The desired synchronization is achieved by adjustment of the current passing through the primary winding I3. The duration of this voltage pulse is preferably long compared to the period of the radio frequency voltage impressed upon the cee electrode 38.
The cee electrode at is suitably connected at two spaced points through two coaxial cables 8086 to the output SI of a radio frequency oscillator 82 which includes an output tube 53 having its grid 84 grounded to the tank 25] and its anode 85 and the cathode 88 connected across the output terminals BI. More particularly, the outer conductors 88-88 of the coaxial cables 8B89 terminate at the outer wall 22 of the tank 20 and are grounded and the inner conductors 8989 connect directly with the cee electrode 30. Preferably the connections to the cee electrode 39 and the walls of the tank 20 are made through suitable impedance matching devices (not shown). In order that the potential at the two points of the cee electrode 39, to which the inner conductors 89-89 are connected, shall be in phase, one of the conductors 88-88 includes an extended element 99 for effectively adjusting the relative electrical lengths of the conductors.
The oscillator 82 is operated at constant frequency and the amplitude of its output is suitably modulated by means of an amplitude modulator 9I which is in turn controlled by a timing device I06. This timing device Ito is of the same type as that hereinabove described and comprises a second peaking transformer E35 which includes a Permalloy strip I02 mounted within the magnetic field produced by the magnetizing windin I5. This peaking transformer It! also comprises primary and secondary windings I03 and IIM, respectively. The primary winding I03 is connected to opposite terminals of a second biasing battery I65 through a second rheostat I06 and the secondary winding M is suitably connected to a control point I88 of the amplitude modulator 9|. With this timing device I08, an impulse is transmitted from the second peaking transformer Ifll to the amplitude modulator 9i at the moment that the field through the Permalloy strip I62 thereof passes through zero, the total fiux through this strip being determined partly by the alternating magneto-motive force created therein by leakage flux produced by the magnetizing winding I5 and partly by the flux created therein by the current flowing from the battery I05. This timing device H30 serves to cause the oscillator to be effectively turned on for a definite time interval once during each cycle of operation and to synchronize the modulation of the oscillator 82 with the generation of the magnetic field passing through the gap I2, as more fully explained hereinbelow. The desired synchronization is achieved by adjustment of the current passing through the primary winding I 03.
The ejector winding 68-60 is connected to the output of a current pulse generator I It which is suitably connected to the source I! of A. C. power through a phase shifter III. This phase shifter III is designed to synchronize the production of current pulses in the output of the current pulse generator III) with the varying magnetic field, as more fully explained hereinbelow. The duration of the current pulse produced at the output of the current pulse generator I I0 is preferably long compared to the period of radio frequency output of the oscillator 82.
Considering now the synchronous operation of the magnetizing windin I5, the electron injector so, the oscillator 82, and the ejector winding Gil-6o during a single cycle of operation. For convenience, the cycle of operation is divided into four quarters Q1, Q2, Q3 and Q4, as illustrated in the coordinated graphs represented in Figs. 1a, lb, 10, 1d and 1e. Referring to Fig. 1a, it is to be noted that the current through the magnetizing winding I5 varies sinusoidally; the intensity of the current starting at zero and then increasing in one direction in the first quarter Q1 of the cycle of operation, then decreasing but remaining in the same direction in the second quarter Q2 of the cycle of operation and then increasing in the third quarter Q3 of the cycle of operation in the opposite direction and then decreasing while still flowing in the latter direction in the fourth quarter Q4 of the cycle of operation. Referring now to Fig. lot, there is shown a substantially square wave and this may be referred to as the envelope for the radio frequency oscillations produced by the oscillator 82. In other words, the output of the oscillator 82 is modulated or keyed to form pulses as shown in Fig. 1d and each of these pulses consists of a train of radio frequency oscillations. It is to be noted that the amplitude of the output of the radio frequency oscillator 82 is of a relatively high value during the first quarter Q1 of the cycle of operation and is zero during the other three quarters Q2, Q3 and Q4, this result being achieved partly by suitable design of the oscillator 82 and the amplitude modulator and partly by suitable adjustment of the timing device I00. Referring to Fig. 16, it is to be noted that the voltage pulse generated at the secondary 62 of the transformer 63 attains a high value shortly after the commencement of the first quarter Q1 of the cycle of operation and is zero at all other times, this result eing achieved partly by the design of voltage pulse generator 66 and partly by adjustment of the timing device It. Referring to Fig. 1?), it is to be noted that the current generated by the current pulse generator III) and applied to the ejector Winding 60-60 attains a high value at the commencement of the second quarter Q2 of the cycle of operation and is substantially zero at all other times, this result bein achieved by suitable design of the current pulse generator I I0 and the phase shifter I I I. By suitably arranging the magnetizing winding I5-I5 and the ejector winding 68-450, the magnetic fluxes produced simultaneously thereby are in opposite directions so that at the moment current is applied to the ejector coil 6066 by the current pulse generator IIil, the intensity of the magnetic field strength passin through the tank 20 is rapidly reduced momentarily. Thus, referring to Fig. 1c, the
combined effects of the magnetizing winding l5l5 and the e ector winding 6ll6ll in producing magnetic flux throu h the tank is illustrated. Here it is to be noted that in the first quarter Q1 of the cycle of operation, the intensity of the magnetic field is directed upward and gradually increases sinusoidally and is suddenly depressed momentarily at the commencement of the second quarter Q2 of the cycle of operation and thereafter continues to change sinusoidally, the magnetic field being directed upward during the first and second quarters Q1 and Q2 of the cycle of operation and downward during the third and fourth quarters Q3 and Q4.
Considering now the action of the synchrotron l in accelerating electrons to high ener y and causing them to impinge upon the external target 5", it is to be noted that during the first quarter Q1 of the cycle of operation, the voltage between the cee electrode 3'! and the tank changes at radio frequency and that during this quarter Q1, the intensity of the ma netic field passing through the tank 28 gradually increases from zero to a relatively high value at a relatively low rate. While the intensity of the magnetic field is still very low, a negative voltage pulse created in the secondary 62 of the transformer 63 is impressed upon the filamentary cathode 48 and focusing electrode 43 for a short interval of time, causing electrons to be projected from the filamentary cathode 43 through the opening 41 in the anode 4| along a curved path. The path initially followed is in a counterclockwise direction about the axis :r:r of the synchrotron Iii determined primarily by three factors, namely (1) the intensity of the magnetic field, (2) the radial gradient of the magnetic field intensity, and (3) the energy with which the electrons are in ected. Some of the electrons arrive at the opening in the cee electrode 39 in phase with the radio frequency voltage impressed thereon and some out of phase. Those electrons which arrive at the opening 36 at the time that the voltage on the cee electrode 38 is passing through zero enter the space 35 within the cee electrode 33 without acceleration or deceleration. Those electrons which arrive at the opening 36 in the cee electrode 3') somewhat out of phase with the voltage on the cee electrode are either accelerated or decelerated, as the case may be, as more fully explained in connection with the discussion of phase stability hereinabove. Electrons which arrive at the opening 35 in the ceeelectrode within a predetermined range of phase and energy constitute a group of electrons which are phase-stabilized. Electrons which arrive at the opening 36 of the cee electrode outside of this range are not phase-stabilized but eventually lose their energy and are scattered to the walls of the tank Zii. In order to generate a group of phase-stabilized electrons, electrons are projected from the injector d) with an energy equal to the equilibrium energy corresponding to the strength of the magnetic field at the time of injection and the radial distance of the point of injection from the axis a:-w, as more fully explained hereinbelow. By suitably choosing the voltage characteristics of the oscillator 82 and the voltage pulse generator 66 in relationship to the dimensions of the tank 20 and its component parts and the gradient of the magnetic field intensity and the rate of change of the magnetic field intensity at the time of injection, many of the electrons which enter the cee electrode 30 pass the injector 40 in the space between the injector 40 and the target 50in their first orbital revolution within the chamber 25. The electrons are injected into the chamber 25 With an energy greater than that corresponding to the radial position of the injector. Insuch a case the electrons injected seek an equilibrium orbit of greater radius and oscillate back and forth across this orbit. Thus, a substantial portion of these electrons miss the injector as they revolve above the axis :c--a: of the synthrotron and become phase stabilized. As this group of electrons alternately enter and emerge from the cee electrode 39 as the magnetic field strength is increased, the equilibrium energy of this group of electrons also increases. As the energy' of the electrons increases, the mean radius of their orbits likewise increase so that the group of electrons spiral outward from a'position adjacent the inner wall 3| 'ofthe'cee electrode 30 "to ian outer position adjacent the outer wall 32 thereof.
Finally, at the end of the first quarter Q1 of'the cycle of operation, the radio frequency oscillator 82 is shut off and the intensity of the magnetic field is suddenly reduced, thereby expanding the orbits in which the electrons travel. As these orbits expand, the highly accelerated electrons impinge upon a target 59 where their. energy is utilized such as for the production of X-rays or nuclear reactions, as the case may be. 7 In the remaining portion of the cycle of operation, no electrons are accelerated. Thereafter, the process of injection, acceleration, and orbital expansion is periodically resumed when the intensity of the magnetic field again begins to increase in an upward direction.
As previously mentioned, the successful operation of the synchrotron depends upon the. phase stabilization of the orbits in which the electrons travel. Considering this principle in greater detail, it can be shown that the equilibrium energy of the electrons at any time during the acceleration is given by the equation: 1
E0=(300cH)/(21rf) (1) where Eo=equilibrium energy including both kinetic energy and rest energy c=velocity of light H =intensity of magnetic field through which the electron is travelling f=frequency of oscillator It can also be shown that the energy of an electron is given by the equation: 1
. E=Eo[1-(d)/(d0)l (2) Where I:
More specifically, the total energy of the particle is given by the equation:
Er E= 3 where the rest energy Er=mnC "and, mo=the rest mass of the electrons, and
Where v=speed of the electrons.
It can also be shown that the relative phase between the electron position and the radio frequency voltage is given by the following equation:
D si e air. a [7 TF' dt [f dt d0 (4) where V=the energy gained from the electric field during each orbital revolution of an electron when the electron enters the semicircular electrode at the most favorable phase, that is. the peak voltage of the oscillator 82 output when the output is sinusoidal,
Fu=the total magnetic flux enclosed by the orbit of an electron possessing energy of the equilibrium value E0,
L=energy lost per orbital revolution as a result of radiation from the electrons and their collision with molecules of gas in the chamber 25, and
t=time.
It is to be noted that Equation 4 takes into account possible changes in the intensity of the magnetic field and possible changes in the frequency of the radio frequency oscillator 32. Where, as in the present instance, the frequency is constant, Equation 4 reduces to the following:
(1 d 1 dEo Q @111 1 S111 6 dt (0) It can also be shown that the radius of the orbit in which an electron is travelling is given by the following equation:
The values of the energy given in Equations 1, 2, 3, 4, 5, and 6 are in electron volts, the magnetic quantities in these equations are in electromagnetic units, angles are in radians and the other quantities are in C. G. S. units. From an analysis of the foregoing equations, it can be shown that if the equilibrium value E0 of the energy increases with time at a sufliciently rapid rate, the instantaneous values of the energy E oscillate back and forth about the equilibrium value E0 and that the amplitude of the difference between the instantaneous value E of the energy and the equilibrium value E0 gradually decreases. It can also be shown that under the same conditions, the instantaneous value of the phase difference oscillates about a zero value.
Considering Equations 1 and 6 together, it can be shown. that as the energy of the electrons increases, the orbits asymptotically approach a which, it is to be noted, means that the distance travelled in a single orbital revolution of the electrons approaches the wave length of the radio frequency waves generated by the oscillator 82. In this connection, it is also to be noted that as the energy of the particles increases, the speed of the particles gradually approaches the speed of light, and further increases in energy have very slight effect upon the speed.
More particularly, if the electrons are injected into the chamber with an energy of about 300 kv. at an initial orbital radius of 78 cm. and are subjected to a radio frequency field of 48 megacycles per sec. and the magnetic field strength changes at 60 cycles per sec. to a value of 10,000 gauss, the electrons are accelerated to an energy of 300 m. e. v. in the first quarter Q1 of the cycle of operation and the final orbital radius of the particles is cm. In thisv operation, if the voltage V-equals 1000 volts, the maximum phase shift is 13 andthe electrons revolve about the axis of the magnetic field about 20,000 times, revolving about 22 times during a. single oscillation of the energy and phase at the commencement of acceleration and about 440 times for a single oscillation of the energy and phase during the final portion of the acceleration. Also, during this operation, the instantaneous value of the energy E of the accelerated electrons differs from the equilibrium value Eu at the most by about 6.3% at the. time of injection and then diminishes as the equilibrium energy E0 increases.
In considering the acceleration of charged particles by the process hereinabove described, it is to be noted that forces of two different origins act upon the electrons in order to accelerate them to higher and higher energies. One of these forces is supplied by the electric fields created at the openings 35 and 31 of the cee electrode 30. The other force is supplied by the electric field induced along the orbits of the electrons by the changing magnetic field. The first of these forces is of the same type which is utilized in a cyclotron. The second of these forces is of the type which is utilized in a betatron.
Considering now the detailed structure of an electromagnet and a tank suitable for use in the synchrotron hereinabove described, reference is now made to Figs. 4, 5 and 6. Such an electromagnet I20 comprises lower and upper yokes I2I and I22 interconnected at their ends by upright legs I23 and I24. The yokes I2I and I22 and the legs I23 and I24 are of laminated construction, being constructed from a series of soft iron plates rigidly held together by suitable means such as bolts I25. The two yokes I2I and I22 are provided with two vertically aligned rectangular openings [25a and I262), respectively, at the centers thereof in order to provide access for workmen to other parts of the apparatus. Between the two yokes I2! and I22 and surrounding the two rectangular openings I26a and I261) are located vertically aligned lower and upper annular pole pieces I21 and I28 defining an annular gap I20. Lower and upper sections I30 and I3I of a magnetizing coil encircle the lower and upper pole pieces I21 and I28, respectively, these coils being located in the magnetic structure adjacent the yokes IZI and I22, respectively, in the space between the pole pieces I21 and I20 and the legs I23 and I24.
The tips of the two pole pieces I21 and I28 are preferably so shaped that the flux density of the magnetic field created in the gap I29 between the pole pieces I21 and I28 varies slightly as an inverse function of the distance from the axis m-cc of the magnetic structure I20 and are furthermore so shaped that the gradual diminution of flux densiity in a radial direction extends over as wide a region as possible. Such a distribution of magnetic flux facilitates focusing an electron beam in the center of the gap, and the specific gradient of magnetic field intensity is selected to facilitate injected electrons clearing the injector and the walls of the cee electrode,
as explained hereinabove. In the design illustrated, the desired distribution of magnetic flux is achieved by tapering the faces of the pole pieces I21 and I28 so as to provide a gradual enlargement of the gap I29 with increasing radius and shimming the peripheral edges of the pole tips so as to provide a reduction in thickness of 'the gap I29 at the inner and outer edges thereof. In practice, a magnetic flux density that varies inversely as about the five-eighths power of the radial distance, is found suitable, thus establishing a flux density gradient which varies gradually throughout the width of the gap I29. as illustrated in Fig. '7.
The inner walls of the pole tips are tapered I outwardly toward the gap and are provided with annular grooves I38 and I 31 on the outwardly tapering surfaces, these grooves being adapted to rigidly engage an inner ring I40. The outer walls of the pole tips are tapered inwardly toward the gap and are provided with annular grooves I 38 and I39 on the inwardly tapering surfaces, these grooves being adapted to engage an outer ring MI. The contacts between the inner and outer rings I49 and MI and the pole pieces I21 and I28 are hermetically sealed to the tank I45 enclosing an annular chamber I45 between the pole pieces I21 and I28. A vacuum line I41 including a pump I48 connected to the outer wall I4I of the tank I45 is utilized for maintaining a high vacuum in the chamber I45. Preferably, the inner and outer walls I45 and I 4| of the tank I45 are composed of a nonmagnetic electrically insulating nonporous material such as Textilite and the interior surfaces of these walls are metallically coated, such as with silver plate I49, which cooperates with the faces of the pole pieces I21 and I28 to form a chamber which is shielded from external electric fields. The inner and outer rings I40 and I4! constitute inner and outer walls. respectively, and the faces of the lower and upper pole pieces I21 and I29 constitute the lower and upper walls. respectively, of a tank which defines an annular chamber in the gap between the pole pieces, which serves as a region for electron acceleration.
Protruding from the outer wall MI is a plurality of radially extending tubes I 50. these tubes being located on one side of the tank I45 and being regularly spaced along the circumference thereof. The tubes I54 are closed at the outer ends and are preferably composed of nonmagnetic electrically insulating nonporous material, such as silicon bonded glass fiber. In order to complete the electrical shielding for the chamber I45, the interior walls of these tubes are also metallically coated, such as by silver plate.
A semicircular cee electrode I59 is supported within the chamber I45 by means of supporting arms or stems I! which are arranged coaxially with the tubes I59. These support arms I5I are preferably composed of metallic or ceramic materials. If composed of the latter, they are preferably metallically coated with a surface which is in electrical communication with the other coatings on the interior surfaces of the tank walls I M and I 4| and the tube I50 and the pole pieces I21 and I28. In eiTect, the support arms and tubes comprise impedance matching coaxial lines for supplying electrical energy to the interior of the tank I45. as more fullv ex plained hereinbelow. More particularly, the cee electrode I69 comprises an upright semicircular rigid metallic member IBI arranged near the 14 outer edge of the gap I29 between the pole pieces I21 and I 28 and also comprises a plurality of metallic hairpin-shaped members I62 arranged in vertical planes and extending radially inward toward the axis 03-9: of the tank. The semicircular member IEI and the hairpin members IE2 together define a semicircular or cee electrode I55 which encloses a semicircular region which is shielded from external electric fields, thus defining a substantially electrically fieldfree semicircular region in one-half of the tank. The semicircular region in the remaining half of the tank is also substantially free of electric fields. By applying a radio frequency voltage between cee electrode I59 and the walls of the tank I45, an oscillating electric field is created at the diametrically opposed openings of the cee electrode I69, thus in effect establishing two accelerating gaps at these positions. In order to control the shape of the electric fields at the openings of the cee electrode I65 when a potential difference is applied between the cee electrode I60 and the walls of the tank I45, the cee electrode I55 is enclosed by an auxiliary concentric shield I55 arranged within the gap I29. This shield I65 comprises a plurality of radially extending metallic hairpin members I66 arranged in vertical planes and suitably secured to the outer wall I4I of the tank I45 in electrical-ly conducting relation to the metallic coat ing I49 on the interior surface thereof. By utilizing a cee electrode I60 and a shield I65 of thin wire structure, as described, eddy current losses therein are reduced to a minimum and a minimum phase lag exists between the changing magnetic field which penetrates the region of the tank I45 including the cee electrode I69 and the shield I55 and the changing magnetic field in the remaining portion of the tank I45. It is to be understood. of course, that if further reduction in this phase difierence is desired, another cee electrode and shield may be arranged in the other half of the tank I45 and the latter cee electrode and shield grounded without otherwise affecting the operation of the synchrotron.
An ejector winding I18 is arranged within the gap and concentric with the magnetic structure I29. This eiector winding comprises lower and upper outer turns I1I-I1I and lower and upper inner turns I12--I12. The outer turns I1I-I1I are arranged externally of the maximum orbit indicated by the point P in which accelerated electrons travel. The inner turns I12-I12 are arranged internally of this orbit indicated .by the point P. The two outer turns I1II1I are connected to carry current in one direction and the two inner turns I12I 12 are connected to carry current in the opposite direction so that an annular magnetic field is created in the region of the orbit P in opposition to the magnetic field produced there by the magnetizing coil.
An electron in ector I89 is mounted within the chamber I45 adjacent the inner wall I49 of the tank I45 and is supported therein by means of a tubular connection I3! which is hermetically sealed on the inner wall I40 of the tank I45 and extends radially outward thereof toward the axis .r-m. This injector is so positioned as to project electrons peripherally within the chamber I46 at such a radial position that the electrons may enter the space within the cee electrode I50. This may be readily achieved by locating the injector I 39 at a point half Way between the openings in the cee electrode I60 and at a greater radial distance from the axis :c-a: of the tank I than the inner wall of the cee electrode I65.
A target I90 which is to be bombarded by accelerated electrons is suitably supported within the chamber M6 at a position opposite the injector I80, this position being so located that accelerated electrons may be projected thereto by operation of suitable means such as the ejector coil I10.
Without describing in detail the construction of the injector I82, it is suflicient to state that this injector may be of the same type as that previously described in connection with Figs. 1 and 2 and that the cathode thereof may be electrically connected to a battery BI and to a source of high voltage, such as the voltage pulse generator ES. The cee electrode IE6 is connected to the output of a radio frequency generator such as the oscillator 82 of Fig. 1 by means of coaxial cables I85 having their outer conductors I85 in electrical communication with the portion of the metallic coating M9 within the tube I58 and their inner conductors I81 in electrical communication with the stems I5I. Preferably the impedances of the coaxial cables I85 when so connected match the impedance of the coaxial lines provided by the tubes I59 and stems Idl.
Considering now the operation of a synchrotron utilizing the electromagnet and tank illustrated in Figs. 4, 5 and 6, when connected to electrical supplies in the manner previously described in connection with Fig. 1, it is to be noted that the output of the oscillator 82 is fed to the cee electrode ltd along two of the stems I5I, and that the two points to which the opposite terminals of the oscillator 82 are connected operate at the same phase and voltage even though the voltages at the two output terminals of the oscillator 82 are out of phase. In operation, at the time that the cee electrode IE9 is thus energized by the oscillator 82, a magnetic field which is directed upward is created in the gap I29 between the pole pieces I21 and I28, as indicated by the arrow 26!) of Fig. 8, and the intensity of this field gradually increases in a sinusoidal manner. While the magnetic field is still of a relatively low value, electrons are projected from the injector I86 into the chamber I l? and travel therein in a counterclockwise direction along the path indicated by the arrow 28I in Fig. 4. The group of electrons which enter the cee electrode I in the proper phase are thereafter repeatedly subjected to acceleration by electrical fields which are created at the openings of the cee electrode I85 parallel to their trajectories. As a result of the acceleration of the electrons, their orbits gradually increase in radius until at the time the magnetic field strength has reached the maximum value, the orbits have attained their maximum radius at a position indicated by the point P in Figs. 6 and 8. When the electrons have thus attained the energy desired, the cee electrode Iil is de-energized and brought to ground potential. At the same time, the ejector coil is energized and current flows clockwise in the outer turns I II-Ill and counterclockwise in the inner turns Il2--Il'2 thereof, thus creating a fiux indicated by the arrows 282 in opposition to the main fiux 203 through the gap I29 and suddenly reducing the strength of the magnetic field in the region traversed by the electrons after they have attained their full energy, as illustrated in Fig. 8. As a result of the reduction of the strength of the magnetic field, the orbits are expanded and the accelerated elec- 16 trons impinge upon the target I where their energy is utilized.
Referring now to Figs. 9 and 10, there is illustrated a modified synchrotron that also embodies the features of the present invention. This synchrotron 2H1 is of a construction similar to that previously described except for the differences pointed out hereinbelow, the main diiierences residing in the location of the target, the omission of the ejector winding, and the constants of the remaining electrical circuits.
This synchrotron 2H1, like that previously described, comprises a magnetic field structure 2II provided with annular pole pieces 2| Ia and U lb and an evacuated annular electrically shielded tank 229 which defines a chamber 225 disposed in the annular gap 2 I 2 between the pole pieces. The pole pieces carry two series-connected sections of the magnetizing winding 2I5--2I5 which is connected to a source 2I'I of alternating current and is shunted by a tuning condenser 2| 6.
The annular tank 229 encloses a cee electrode 236 which is disposed concentrically therein. It also includes an electron injector 240 provided with a box-shaped anode 2 a filamentary cathode 248 and a focusing electrode 249. In this synchrotron 2H3, the target 250 which is to be bombarded by accelerated electrons is supported on the end wall 246 of the lectron injector 240, that is, within the minimum radius ofthe orbits in which the electrons are to be accelerated after their first revolution.
Considering now the electrical circuits of this synchrotron 2H3, the filamentary cathode 248 of the electron injector 24B is heated by means of a battery 28I which is connected to opposite ends thereof through a rheostat 26Ia and the cathode 248 and the anode 2M of the electron injector 24!] are connected to opposite terminals of the secondary winding 262 of a transformer 263, the primary 284 of which is connected to the output 265 of a voltage pulse generator 266. The operation of the pulse generator 266 is synchronized with the magnetic field by means of a timing device 276, as hereinabove described. Also, the cee electrode 23B is connected through two coaxial cables 28El28ll to the output 28I of the radio frequency oscillator 282, the output of which is suitably modulated by means of an amplitude modulator 29I which is in turn controlled by a timing device 308, as previously described. The amplitude modulator 29I of this synchrotron 2IEI differs from that previously described with respect to the length of the period during which radio frequency voltages appear at the output 28I of the oscillator 282, as more fully described hereinbelow.
Considering now the synchronous operation of the magnetizing winding 2I5--2I5, the injector 240, and the oscillator 232, for convenience the cycle of operation is divided into four quarters P1, P2, P3 and P4, as illustrated in the graphs represented in Figs. 9a, 9b and 90. Referring to Fig. 9a, it is to be noted that the current through the magnetizing winding 2I52I5 varies sinusoidally, the intensity of the current starting at zero and increasing in one direction in the first quarter P1 of the cycle of operation, reaching its maximum value at the end of the first quarter. Inasmuch as the magnetic flux created in the gap 2! between the pole pieces 2| Ia and 2I ID is in phase with the current through the magnetizing winding, the intensity of the magnetic field increases substantially sinusoidally during the first quarter P1 of the cycle of operation and thereafter changes in the usual sinusoidal manner, the" magnetic field being directed upward during the first and second quarters P1 and P2 of the cycle of operation and downward during the third and fourth quarters P3 and P4. Referring now to Fig. 9?), it is to be noted that the amplitude of the output of the radio frequency oscillator 282 is of a relatively high value throughout a large portion of the first quarter P1 of the cycle of operation and is zero during the remaining portion of the cycle of operation, the output being increased from zero to its maximum value at the commencement of the cycle of operation at about the time that the strength of the magnetic field in the gap is zero and being decreased to zero from its maximum value shortly before the intensity of the magnetic field reaches its maximum value. Referring now to Fig. 9c, it is to be noted that the voltage pulse generated at the secondary 262 of the transformer 263 attains a high value shortly after the commencement of the first quarter P1 of the cycle of operation while the strength of the magnetic field is low and the oscillator output is high and is zero at all other times.
Considering now the operation of this synchrotron 2ll3 in accelerating electrons to high energy and causing them to impinge upon the internal target 25!], some of the electrons which are projected from the injector 240 into the chamber 225 repeatedly enter and emerge from the cee electrode 235 and are accelerated to high energy under the combined influence of the increasing magnetic field and the alternating electric fields created at the openings in the cee electrode 230, as more fully explained hereinabove. Also, as the energy of the electrons increases, the radii of their orbits likewise increase so that the orbits spiral outward in circles of increasing radius to an outer position adjacent the outer wall of the cee electrode 230. Finally, when the output of the radio frequency oscillator is reduced to zero and while the intensity of the magnetic field continues to increase, the electrons lose energy by radiation and the orbits in which the particlestravel contract, partly as a result of this loss of energy and partly as a result of the subsequent increase in the strength of the magnetic field. When these orbits contract sufficiently, the highly accelerated electrons impinge upon the target 250 which is disposed within their orbits where their energy is utilized. In the remaining portion of the cycle, no electrons are accelerated. Thereafter, the process of injection, acceleration, and orbital contraction is periodically resumed each time the intensity of the magnetic field again passes through zero in an upward direction.
In'the description of the synchrotrons hereinabove described, it has been shown that electrons which are injected into an annular tank adjacent the inner edge thereof may be accelerated under the combined influence of an increasing magnetic field and an alternating electric field and that these accelerated electrons may be caused to impinge upon a target which is disposed within the tank either internally or externally of the orbits in which the accelerated electrons travel.
In the synchrotrons hereinabove described, the energy of the accelerated electrons is increased by increasing the strength of the magnetic field in which the electrons travel during the time that they are subjected'to the influence of an oscillating electric field of constant frequency. It is to be noted, however, that the advantages of the invention may also be attained if the electrons travel in a magnetic field of constant strength and are subjected to the influence of an oscillating electric field, the frequency of which is gradually reduced during the period of acceleration. Thus, by referring to Equation 1, it is to be noted that the equilibrium energy of a group of electrons may be increased in accordance with the present invention by increasing the ratio of the magnetic field strength to the frequency of oscillation of the electric field during the period in which acceleration of the electrons is desired. In the preferred form of this invention, electrons are accelerated to high energy by increasing the strength of the magnetic field with or without reducing the frequency of oscillation. When the ratio of field strength to frequency is changed in this manner, a minimum radial difference between the initial and final orbits is attained, thus effecting an economy in the design of the magnetic field structure required to impart a predetermined energy to the electrons.
While the invention has been described with particular reference to the acceleration of electrons, it will be appreciated that it is also applicable to the acceleration of other electrically charged particles such as positive ions. In any event, with the synchrotron, charged particles may be accelerated to energies in the billion volt range and thus permit the exploration of X-ray and nuclear phenomena requiring higher energyin their study than ha heretofore been available in electromagnetic accelerators.
It will therefore be understood that this invention is not to be limited to the details of the structure and methods of operation hereinabove described but that many modifications may be 'made in the apparatus and method within the 2. Apparatus for accelerating charged particles to high energy comprising means for establishing a magnetic field, means for projecting charged particles into said field along a path transversely thereof, means including a source of alternating;
electric potentials for accelerating said particles along curved paths in said magnetic field whereby the energy of the particles is increased, and
means for increasing the ratio of the magnetic field strength to the frequency of said alternating electric potentials as the particles move in said curved paths whereby the resonant energy of the particles is increased.
3. Apparatus for acceleratin charged particles to high energy comprising means for establishing a magnetic field, means for projecting charged particles into said field along a path transversely thereof, means including a source of alternating electric potentials having a constant frequency for accelerating said particles along curved paths in said magnetic field whereby the energy of the particles is increased, and means for increasing.
the strength of the magnetic field as the particles move. in said curved paths whereby the resonant energy of the particles is increased.
4. Apparatus for accelerating charged particles to high energy comprising means for establishing a magnetic field, means including electrodes for defining two semicircular regions in said magnetic field, each of said regions being substantially free of electric fields, means including a source of alternating electric potentials connected to said electrodes for causing the relative potentials of said regions to oscillate whereby charged particles are rapidly accelerated to and from one region to the other, and means for increasing the ratio of the magnetic field strength to the frequency of said alternating electric potentials as said particles move in said region whereby the resonant energy of the accelerated particles is increased.
5. Apparatus for accelerating charged particles to high energy comprising means for establishing a magnetic field, means including electrodes for defining two semicircular regions in said magnetic field, each of said regions being substantially free of electric fields, means including a source of alternating electric potentials having a constant frequency connected to said electrodes for causing the relative potentials of said regions to oscillate whereby charged particles are rapidly accelerated to and from one region to the other, and means for increasing the strength of the magnetic field as said particles move in said regions whereby the resonant energy of the accelerated particles is increased.
6. Apparatus for altering the energy of charged particles comprising means for establishing a magnetic field, means defining a closed region for the travel of charged particles along curved paths in said magnetic field, means for altering the strength of said magnetic field, means including electrodes adjacent saidpaths and an oscillator having a constant frequency connected thereto for repeatedly applying electric field forces along said paths, and modulating means cooperating with said field generating means for effectively energizing said electrodes with the output from said oscillator while the strength of said magnetic field is at one value and for efiectively tie-energizing said electrodes when the strength of said magnetic field is at another value.
7. Apparatus for accelerating charged particles to high energy comprising means defining a closed region for acceleration of charged particles along curved paths, field generating. means for establishing a time-varying magnetic field in said,
region. transverse to said paths, means including electrodes adjacent said paths and an oscillator having a constant frequency connected thereto for repeatedly accelerating charged particles along said paths, and modulating means cooperating with said field generating means for effectively energizing said electrodes with the output of said oscillator while the strength of said magnetic field is low and for effectively (la-energizing said electrodes when the strength of said magnetic field is high.
8. Apparatus for accelerating charged particles to high energy comprising means defining a closed region for acceleration of charged particles along curved paths, field generating means for establishing a time-varying magnetic field in said region transverse to said paths, means including electrodes adjacent said paths and an oscillator having a constant frequency connected thereto for repeatedly accelerating charged paroperating with. said field generating means for effectively energizing said electrodes with the output of said oscillator while the strength of said magnetic field is low and for effectively deenergizing said electrodes when the strength of said magnetic field is high, and means also coopcrating with said field generating means for injecting charged particles tangentially into said region while said electrodes are energized.
9. Apparatus for generating and utilizing, charged particles of high energy comprising means defining a closed region for acceleration of charged particles along curved paths, field generating means for establishing a time-varying magnetic field in said region transverse to said paths, means including electrodes adjacent said paths and a constant frequency oscillator connected thereto for repeatedly applying electric. impulses to charged particles along said paths, modulating means cooperating with said field generating means for effectively energizing said electrodes with the output from said oscillator while the strength of said magnetic field is low and for efiectively de-energizing said electrodes when the strength of said magnetic field ishigh whereby the particles attain high energy, a target disposed in said region, and means for altering the strength of said magnetic field after the particles have attained high energy, whereby the highly energized particles impinge upon said target.
10. Apparatus for generating and utilizing charged particles of high energy comprising means defining a closed region for acceleration of charged particles along curved paths, field generating means for establishing a time-varying magnetic field in said region traverse to said paths, means including electrodes adjacent said paths and a constant frequency oscillator con-- nected thereto for repeatedly applying electricimpulses to charged particles along said paths, modulating means cooperating with said field generating means for effectively energizing said electrodes with the output of said oscillator while the strength of said magnetic field is low and for effectively de-energizing said electrodes while the strength of said magnetic fieldv is high whereby accelerated charged particles revolve in predetermined orbits at high energy, a target disposed in said region outside saidorbits, and means also cooperating with said field generating means. for deflecting said particles-to said target after they attain high energies;
11. Apparatus for; generating and utilizing charged particles to high energies comprising" means defining a. closed region for acceleration of charged particles along curved paths, means for establishing a time-varying magnetic field in said region transverse to said paths, means including electrodes adjacent said paths and a constant frequency oscillator connected thereto for repeatedly applying electric impulses to chargedparticles along said paths, modulating means cooperating with said field generating means for effectively energizing said electrodes with the output from said oscillator while the strength of said magnetic field is low and for effectively dew energizing said electrodes when the strength of said magnetic field is of intermediate value whereby accelerated charged particles revolve in predetermined orbits at high energy, a target disposed. within said orbits. whereby afurther in crease in the strength-of. the magnetic field. causes '21 22 the accelerated particles to impinge upon the REFERENCES CITED target The following references are of record in the 12. An electromagnet accelerator comprising a fil f this patent;
magnetic structure including opposed annular pole pieces defining an annular gap therebetween 5 UNITED STATES PATENTS and also including yokes supporting said pole Number Name Date pieces, said yokes being provided with openings 1,948,384 Lawrence Feb. 20, 1934 which communicate with the hollow cylindrical 2,229,572 Jonas Jan. 21, 1941 space enclosed by said pole pieces, an annular 2,394,070 Kerst Feb. 5, 1946 tank disposed in said gap and electrode structure 10 2,394,071 Westendorp Feb. 5, 1946 disposed in said tank for creating electric fields 2,485,409 Pollock et a1 Oct. 18, 1949 tangentially therein, magnetizing windings cooperating with said pole pieces to establish a ma OTHER REFERENCES netic field through said gap, an oscillator assou t on of a t c Ener es Beyond 00 ciated with said electrode structure for estab- 5 by Schiff, Review Of t fic Instrulishing oscillating tangential electric fields within ments, Volume ary 1946, P e 6 said tank, and means for altering the ratio of the t0 strength of said magnetic field to the frequency at which said oscillator operates.
EDWIN M. MCMILLAN. 2o
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US666908A US2624841A (en) | 1946-05-03 | 1946-05-03 | Method of and apparatus for accelerating to high energy electrically charged particles |
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US666908A US2624841A (en) | 1946-05-03 | 1946-05-03 | Method of and apparatus for accelerating to high energy electrically charged particles |
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US2738421A (en) * | 1952-09-11 | 1956-03-13 | Gen Electric | Means for preventing the loss of charged particles injected into accelerator apparatus |
US2855511A (en) * | 1955-01-03 | 1958-10-07 | Jr Edward R Saunders | Biased peaker strip energy control system for betatrons and synchrotrons |
US2979635A (en) * | 1959-07-15 | 1961-04-11 | Richard J Burleigh | Clashing beam particle accelerator |
US10928157B1 (en) * | 2019-11-18 | 2021-02-23 | Ra Matet, LLC. | Electromagnetic accelerator |
US11333462B2 (en) * | 2019-11-18 | 2022-05-17 | Ra Matet, LLC | Electromagnetic accelerator |
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US1948384A (en) * | 1932-01-26 | 1934-02-20 | Research Corp | Method and apparatus for the acceleration of ions |
US2229572A (en) * | 1938-12-05 | 1941-01-21 | Bbc Brown Boveri & Cie | Cyclotron |
US2394070A (en) * | 1942-06-02 | 1946-02-05 | Gen Electric | Magnetic induction accelerator |
US2394071A (en) * | 1942-06-17 | 1946-02-05 | Gen Electric | Magnetic induction accelerator |
US2485409A (en) * | 1946-01-05 | 1949-10-18 | Gen Electric | Imparting high energy to charged particles |
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US1948384A (en) * | 1932-01-26 | 1934-02-20 | Research Corp | Method and apparatus for the acceleration of ions |
US2229572A (en) * | 1938-12-05 | 1941-01-21 | Bbc Brown Boveri & Cie | Cyclotron |
US2394070A (en) * | 1942-06-02 | 1946-02-05 | Gen Electric | Magnetic induction accelerator |
US2394071A (en) * | 1942-06-17 | 1946-02-05 | Gen Electric | Magnetic induction accelerator |
US2485409A (en) * | 1946-01-05 | 1949-10-18 | Gen Electric | Imparting high energy to charged particles |
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US2738421A (en) * | 1952-09-11 | 1956-03-13 | Gen Electric | Means for preventing the loss of charged particles injected into accelerator apparatus |
US2855511A (en) * | 1955-01-03 | 1958-10-07 | Jr Edward R Saunders | Biased peaker strip energy control system for betatrons and synchrotrons |
US2979635A (en) * | 1959-07-15 | 1961-04-11 | Richard J Burleigh | Clashing beam particle accelerator |
US10928157B1 (en) * | 2019-11-18 | 2021-02-23 | Ra Matet, LLC. | Electromagnetic accelerator |
US11333462B2 (en) * | 2019-11-18 | 2022-05-17 | Ra Matet, LLC | Electromagnetic accelerator |
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