US2268194A - Electron discharge device - Google Patents

Electron discharge device Download PDF

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US2268194A
US2268194A US307232A US30723239A US2268194A US 2268194 A US2268194 A US 2268194A US 307232 A US307232 A US 307232A US 30723239 A US30723239 A US 30723239A US 2268194 A US2268194 A US 2268194A
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electrode
electron
axis
potential
cathode
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Myron S Glass
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AT&T Corp
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    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06GANALOGUE COMPUTERS
    • G06G7/00Devices in which the computing operation is performed by varying electric or magnetic quantities
    • G06G7/48Analogue computers for specific processes, systems or devices, e.g. simulators
    • G06G7/485Analogue computers for specific processes, systems or devices, e.g. simulators for determining the trajectory of particles, e.g. of electrons
    • HELECTRICITY
    • H01ELECTRIC ELEMENTS
    • H01JELECTRIC DISCHARGE TUBES OR DISCHARGE LAMPS
    • H01J21/00Vacuum tubes
    • H01J21/36Tubes with flat electrodes, e.g. disc electrode
    • HELECTRICITY
    • H01ELECTRIC ELEMENTS
    • H01JELECTRIC DISCHARGE TUBES OR DISCHARGE LAMPS
    • H01J29/00Details of cathode-ray tubes or of electron-beam tubes of the types covered by group H01J31/00
    • H01J29/46Arrangements of electrodes and associated parts for generating or controlling the ray or beam, e.g. electron-optical arrangement
    • H01J29/58Arrangements for focusing or reflecting ray or beam
    • H01J29/62Electrostatic lenses
    • H01J29/622Electrostatic lenses producing fields exhibiting symmetry of revolution
    • H01J29/624Electrostatic lenses producing fields exhibiting symmetry of revolution co-operating with or closely associated to an electron gun
    • HELECTRICITY
    • H01ELECTRIC ELEMENTS
    • H01JELECTRIC DISCHARGE TUBES OR DISCHARGE LAMPS
    • H01J29/00Details of cathode-ray tubes or of electron-beam tubes of the types covered by group H01J31/00
    • H01J29/46Arrangements of electrodes and associated parts for generating or controlling the ray or beam, e.g. electron-optical arrangement
    • H01J29/82Mounting, supporting, spacing, or insulating electron-optical or ion-optical arrangements
    • HELECTRICITY
    • H01ELECTRIC ELEMENTS
    • H01JELECTRIC DISCHARGE TUBES OR DISCHARGE LAMPS
    • H01J3/00Details of electron-optical or ion-optical arrangements or of ion traps common to two or more basic types of discharge tubes or lamps
    • H01J3/02Electron guns
    • H01J3/029Schematic arrangements for beam forming

Definitions

  • FIG. 1 A first figure.
  • This invention relates to electron discharge devices and more particularly to electrode systems for producing concentrated electron streams in electron beam discharge devices such, for example, as cathode ray oscillographs.
  • electrons are emitted from an activated surface or electron source and directed toward an electron receiving element.
  • the electron receiving element may be one or more targets upon which the electron beam may impinge for a desired time or a particular area of which may be impinged upon by the beam.
  • the electron receiving element maybe a fluorescent screen upon which the electronbeam produces a luminous spot or traces a luminous pattern.
  • the electron stream should passthrough electric fields of such nature that the individual electron paths are such as to produce a sharply defined spot or area upon the electron receiving element; and the rate or density of flow of electrons toward the electron receiving element-should be readily controllable.
  • One general object of this invention is to increase the efficiency and to improve the oper-;.
  • objects of this invention are: To improve the efiiciency of the collimating system. in electron beam discharge devices whereby a large percentage of the electrons emanating from the electron source or activated surface are concentrated into the electron beam; To increase the beam current in electron beam discharge devices;
  • a cathode ray device in one illustrative embodiment of this invention, comprises an electron source, such as a thermionic cathode, a fluorescent screen spaced from the electron source, a collimating system in cooperative relation with the: electron source, and a focussing system between the collimating system and the fluorescent screen
  • the collimating system comprises a pair of electrodes having restricted aperturesin alignment with the cathode and juxtaposed surfaces of these electrodes are of such configuration as to conform to equipotential boundaries. of an electric field ofsuch distribution that electrons flowing therein are turned toward the axis of alignment of the apertures and the cathode.
  • the focussing' system comprises a pair of electrodes in axial alignment with the .electrodes of the collimating system, one of the electrodes being cylindrical and the other being dished and at the end of the cylindrical electrode toward the screen, and the electrodes of the focussing system are so constructed and arranged that the. aberration produced by the focussing system is substantially negligible.
  • Fig. 1 is an elevational view mainly in section of a cathode ray device illustrative of one embodiment of the invention
  • Fig. 2 is an enlarged detail view mainly in section of the cathode and electrodes of the collimating system in the device shown in Fig. 1;
  • Figs. 3 and. 4 are diagrams illustrating equipotential boundaries of electric fields to which surfaces of certain electrodes of the device shown in Fig. 1 conform in accordance with one feature 'of this invention.
  • Fig. 5 is a diagram illustrative of the focussing with this invention.
  • the cathode ray device shown in Fig. 1 is of the construction de- :bedded in thepress "18.- I
  • Portions of the inner surfaces of the elongated and flaring portions IQ and II respectively of the enclosing vessel may be provided with a conductive coating M, for example; of graphite, as described in Patent 2,096,416,
  • may be maintained at a negative granted October 19, 1937, to Howard W. Weinhart.
  • the enclosing vessel is provicled at the end.
  • the collimating electrode 22 may be maintained at a positive potentialwith respect to the cathode
  • the electrode 34 may be maintained at a higher positive potential with respect to the cathode.
  • the electrode structure comprises generally an electron source, a, collimating system, a focussing system, and deflector electrodes;
  • the electron source as shown in Fig. 1, may be an indirectly heated cathode comprising a cylindrical metallic fsleeve l1 having a-dishe'd or cuppedend portion '18, the outer surfaceiof which is coated with a thermionic material, and a heater filament l9 ing, supported by leading in conductors '20 em 7
  • the collimating systemi comprises a modulatingelectrode 2
  • the electrode 2] may be supported by a metallic cylinder. 25 seated upon an insulating "spacer26, and having a leading-in conductor 21 extending therefrom,
  • the electrode 22 may be supported similarly by ametalliccylinder 28 also seated upon the'insulating spacer 26, the cylinfders 25; and' 28 being coaxial with one another and the cathode.
  • the electrode 22 may be proj'vided with a baffle .50, shown in Fig. 2, having a restricted aperture 220; inaxial alignment .with the aperture 24.
  • The'focussing system comprises a cylindrical electrode 29'coaxial with'the cathode,jseated upon a fl ange 30 upon ,the cylinder 2t, and supported from bands or collars 3i clamped about the stem 15 by a plurality of uprights or. wires 32 one of L which is. connected" to aleading-in conductor 33 ,sealed' in the press [6. It comprises also a i dished or cupped electrode 34 having a central aperture 35 in alignment with the apertures 23:
  • the electrode 34 may be insulatingly supportedfrom the cylindrical electrode 29.
  • the beam may be deflected by applying suitable'potentials to the deflectorplates wand 4L I 1 l
  • the intensity of "the spot produced upon the creen l3 will be dependentgofcourse, upon the current density of the electronbeam and this in turn is dependent upon; among other things, the proportion of the electrons emanating from the surface ll! of the cathode which issue from the aperture 24a. This proportion in turn is determined largely by the nature of the electric fields extant in the vicinity of the cathode and in the region between the cathode and'the electrode 22.
  • Equation 1 From Equation 1 it will be seen that a gradient toward the axis exists only if f"(r)',: the second derivative of the potential as a'. function of the distance along the axis, ispositive.
  • Some fields which would satisfythis condition and also the conditions that there should be a small potential upon the configuration and relative potentials of gradient in the vicinity of the cathode and that the field should increase progressively along the axis, are fields given by the relations where E is the potential on the axis a distance at from the origin of the system (in the immediate vicinity of the cathode), K is a constant and e is the Naperian base.
  • the second derivative contains a function of 3:, so that the radial gradient increases as the electron moves parallel to the axis and acquires greater axial velocity. This is desirable inasmuch as the radial gradient should be smaller in the regions where axial velocity is low in order that the electrons will not cross the axis at an early time in their fiight.
  • the equipotential lines of other than zero potential are hyperbolae having the zero potential line as an asymptote.
  • the equipotential surfaces, then, obtained as noted before, by rotating the equipotential lines about the axis are a cone and a familyof hyperboloids.
  • the zero equipotential boundary is generated by a straight line and the other equipotential surfaces are generated by curves asymptotic to the straight line.
  • the field distribution in a collimating system satisfying this relation is such that the radial gradient at any point in the collimating field is proportional to the square of the distance from the axis and to the fourth power of the distance along the. axis.
  • the particular spacing between the surfaces ofthe cathode I9 and electrode 22 is dependent upon the operating characteristics desired.
  • the inner surface of the electrode 2! which, as noted before, is utilized as the modulating electrode, conforms to the con ical surface generated by rotating the line M in Fig. 3 about the axis XX.
  • the vertex of the cone is the origin of the system.
  • the vertex of the surface of the electrode 22 toward the cathode is located 9 units of an inch in a specific case) from the vertex 0 and conforms to the'surface generated by rotation of the curve B in Fig. 3 having its vertex 9 units from the In a particular case, it. may be desired to have the voltage required on the rnodulator electrode 2
  • the cathode emitting surface l8 should be slightly more positive (with. respect to the modulating electrode) than the equipotential boundary of the field immediately in front of the cathode. Hence, the cathode should be positioned substantially 9 X 20 units from the origin of the system.
  • the dimensions of the aperture Na in the electrode 22 will depend upon the beam desired and the dimensions of the electrodes. For the particular structure described in the preceding paragraph, an aperture to mils in diameter has been found satisfactory to produce a small well-defined spot on the'screen 13.
  • the configuration of the portion I8 of the cathode is of some import.
  • the surface l8 should be of such shape as to coincide with an equipotential boundary of the field.
  • the. surface l8 may be plane without introducing material distortion effects.
  • the electrons issuing from the aperture 24 come under the influence of the fields of a focussing system comprising the electrodes 29 and 34.
  • focussing electrons the problems are similar to those encountered in connection with collimation and considered heretofore.
  • focussing involves the determination of the paths of individual electrons so that the electrons are directed toward the axis of the system and produce a sharply defined spot of small cross-sectional area upon the electron receiving element, for example, the
  • x1 and x2 are regions distances x1 and $2 from the origin of the system and it is assumed that the potential distribution along the axis is equal to fun) between these points.
  • the electron stream entering the focussing. system originates at a point P1, e. g. in the limiting aperture 24a, on the axis a distance d1 from an. traverses the path indicated generally by the line a, b, c, and returns to the axis at point P2 a distance d2 from x2.
  • an in the device shown in Fig. l is approximately at.
  • Equation 10 may be writtenin simplified formias; I.
  • Equation 11 the-r terms represent aberration and are very small.
  • the inherent aberration may bereduced, if necessary. by increasing the diam.- eter of the cylindrical electrode 29 and thus thereby decreasing the relative magnitude of the beam diameter.
  • the length of the cylindrical electrode 29 is not of particular import with respect to the focussing action of the field although it does enter into the magnitude of the inherent aberration and affects the image] and object distances. 1
  • the equation for the path of the electron then becomes which, it will be noted, is the same as Equation 11 except for the introduction of the factor K at various points in the equation.
  • Equation 13 From Equation 13, it will be apparent that if K is considerably less than unity, the magnitude of the aberration term is greatly reduced. Small values of K obtain if the exponential field extends along a long cylinder. Hence, increasing the length of the focussing cylinder 29 decreases the aberration.
  • the particular field distribution selected for any specific device will be dependent upon mechanical considerations. It will be understood further that various modifications may be made in the specific embodiment disclosed without departing from the scope and-spirit of this invention as defined in the appended'claims.
  • An electron discharge device comprising an electron source, an electron receiving element spaced from said source, and an electrode system between said source and said element, said system including a pair of spaced electrodes in axial alignment with said source and having opposed surfaces conforming to equipotential boundaries of a field corresponding to a predetermined exponentially increasing potential distribution along the axis of alignment.
  • An electron discharge device comprising an electron source, an electron receiving element face conforming to an equipotential boundary of said field.
  • An electron discharge device in accordance with claim 2 wherein said opposed surfaces conform to equipotential boundaries of a field corresponding to a potential which increases along said axis according to the relation where E is the potential, K is a constant, a: is the distance along said axis withrespect to the origin of the system and 11. B2 or greater.
  • An electron discharge device in accordance with claim 2 wherein said opposed surfaces conform to equipotential boundaries of afield corresponding to a potential which increases along said axis according to the relation where E is the potential, K isa constant, e is the Naperian base, and a: is the distance along said axis with respect to the origin of the system.
  • An electron discharge device comprising an electron source, an electron receiving element spaced from said source, and an electrode system between said source and said element including a pair of spaced electrodes in alignment with each other and with said source, said electrodes having opposed surfaces conforming to equipotential boundaries of a field corresponding to a potential which increases progressively toward said element along the axis of alignment and which has a gradient toward said axis which increases with distance parallel to said axis and toward said element.
  • An electron discharge device comprising an electron source, an electron receiving element spaced from said source, and an electrode system between said source and said element including an electrode in axial alignment with said source and having a central aperture and a second electrode between said source and said first electrode and in axial alignment therewith, the surface of said second electrode toward said source conforming to a second or higher order curve of the distance along the axis of alignment from the origin of the system, and the surface of said first electrode towardsaid first surface conforming to aboundary substantially asymptotic to'sald first surface.
  • An electron discharge device comprising an electron source, a. collimating system including a. pair of electrodes in axial alignment with said source, said electrodes having opposed surfaces conforming to equipotential boundaries of a field corresponding to a potentialwhich increases progressively, away from said source along the axis of alignment and the secondderivative of which as a function of distancealong said axis is positive, anelectron receiving element, and a focussing system between said collimating system and said electron receiving element, said foeussing system including a pair ofelectrodes in axial alignment with said source and said first electrodes and having opposed surfaces conforming to equipotential boundaries of a field corresponding to a potential which increases progressively along said axis toward said element and the second derivative of which as a function of the distance along said axisis positive.
  • An electron discharge device comprising a and said element including an elongated cylindrical electrode coaxial with said firstelectrodes and a second electrode at the end of said cylindrical electrode toward said element, having a substantially hemispherical surface facing toward said collimating system and having also a central aperture in axial alignment with said cathode.

Description

Dec. 30, 1941-.
M. S. GLASS ELECTRON DISCHARGE DEVICE" Filed Dec. 2, 1959 lNl ENTOR M. 5', GLASS FIG. 2
FIG.
ATTORNEY Patented Dec. 30, 1941 3 ELECTRON DISCHARGE DEVICE Myron S. Glass, West Orange, N. J assignor to Bell Telephone Laboratories, Incorporated, New York, N. Y., a corporation of New York Application December 2, 1939, Sean No. 307,232 14 Claims. (01. 250-462) This invention relates to electron discharge devices and more particularly to electrode systems for producing concentrated electron streams in electron beam discharge devices such, for example, as cathode ray oscillographs.
In electron beam discharge devlces,in general,
electrons are emitted from an activated surface or electron source and directed toward an electron receiving element. For example, the electron receiving element may be one or more targets upon which the electron beam may impinge for a desired time or a particular area of which may be impinged upon by the beam. In other devices, the electron receiving element maybe a fluorescent screen upon which the electronbeam produces a luminous spot or traces a luminous pattern. I
Whatever the character of the electron receiving element, production of a current thereto or of alspot or pattern thereon involves threemajor problems, namely, collimation, focussing and modulation. That is to say, the electrons emanating from the activated surface or source should be concentrated and accelerated toward the electron receiving element in such manner;
that they follow approximately paraxial paths, the electron stream should passthrough electric fields of such nature that the individual electron paths are such as to produce a sharply defined spot or area upon the electron receiving element; and the rate or density of flow of electrons toward the electron receiving element-should be readily controllable. i
One general object of this invention is to increase the efficiency and to improve the oper-;.,
ating characteristics of electron beam discharge devices.
. More, specifically, objects of this inventionare: To improve the efiiciency of the collimating system. in electron beam discharge devices whereby a large percentage of the electrons emanating from the electron source or activated surface are concentrated into the electron beam; To increase the beam current in electron beam discharge devices;
To improve the electron beam focussing in electron beamqdischarge :devices whereby the beam impinges upon a sharply defined spot or area of small dimensions, upon the electron receiving element;
I To enable effective focussing of electron beams of high current density;
To reduce aberration in the focussing system in electron beam discharge devices;
upon one or more electrodes of the beam producing system between full intensity and cut-oil of the beam current; and
To enable substantially uniform modulation of the rate or density of fiow of electrons toward the electron receiving electrode.
In one illustrative embodiment of this invention, a cathode ray device, a specific construction of which is described in the application Serial No. 307,231, filed December 2, 1939, of Sture I O. Ekstrand, comprises an electron source, such as a thermionic cathode, a fluorescent screen spaced from the electron source, a collimating system in cooperative relation with the: electron source, and a focussing system between the collimating system and the fluorescent screen In accordance with one feature of this invention, the collimating system comprises a pair of electrodes having restricted aperturesin alignment with the cathode and juxtaposed surfaces of these electrodes are of such configuration as to conform to equipotential boundaries. of an electric field ofsuch distribution that electrons flowing therein are turned toward the axis of alignment of the apertures and the cathode.
In accordancewith another feature of this invention, the focussing' system comprises a pair of electrodes in axial alignment with the .electrodes of the collimating system, one of the electrodes being cylindrical and the other being dished and at the end of the cylindrical electrode toward the screen, and the electrodes of the focussing system are so constructed and arranged that the. aberration produced by the focussing system is substantially negligible.
The invention and the foregoing and other features thereof will be understood more clearly and fully from the following detailed description with reference to the accompanying drawing in which: I i
Fig. 1 is an elevational view mainly in section of a cathode ray device illustrative of one embodiment of the invention; I
Fig. 2 is an enlarged detail view mainly in section of the cathode and electrodes of the collimating system in the device shown in Fig. 1;
Figs. 3 and. 4 are diagrams illustrating equipotential boundaries of electric fields to which surfaces of certain electrodes of the device shown in Fig. 1 conform in accordance with one feature 'of this invention; and
Fig. 5 is a diagram illustrative of the focussing with this invention.
To obtain a small span of voltage variation 55 I Referring now to the drawing, the cathode ray device shown in Fig. 1 is of the construction de- :bedded in thepress "18.- I
' H terminating in an end wall [2, the inner surface of which is coated to form a fluorescent screen l3. Portions of the inner surfaces of the elongated and flaring portions IQ and II respectively of the enclosing vessel may be provided with a conductive coating M, for example; of graphite, as described in Patent 2,096,416,
electrode 2| may be maintained at a negative granted October 19, 1937, to Howard W. Weinhart.
The enclosing vessel is provicled at the end.
' thereof remote from the screen ISQWithdh'lH-r I wardly extending stem l5 terminating in apress 16 and supporting the electrodes of the device.
potential with respect to the cathode, the collimating electrode 22 may be maintained at a positive potentialwith respect to the cathode, and
'. v the electrode 34 may be maintained at a higher positive potential with respect to the cathode.
Ingeneral, electrons emanating from the emis- In order to simplify the drawing, various details of construction of the electrode structure have ,not'been showngthese; being shown-and described clearly in the aforementioned application of Sture O Ekstrand. r
f: L The electrode structure comprises generally an electron source, a, collimating system, a focussing system, and deflector electrodes; The electron source, as shown in Fig. 1, may be an indirectly heated cathode comprisinga cylindrical metallic fsleeve l1 having a-dishe'd or cuppedend portion '18, the outer surfaceiof which is coated with a thermionic material, and a heater filament l9 ing, supported by leading in conductors '20 em 7 The collimating systemi comprises a modulatingelectrode 2| and" a jcollimating electrode 22 f'having central apertures 23 and 24 respectively aligned .with the cathode, the electrodes 2| and 22 being "coaxial with one another and with the cathode. The electrode 2] may be supported by a metallic cylinder. 25 seated upon an insulating "spacer26, and havinga leading-in conductor 21 extending therefrom, The electrode 22 may be supported similarly by ametalliccylinder 28 also seated upon the'insulating spacer 26, the cylinfders 25; and' 28 being coaxial with one another and the cathode. The electrode 22 may be proj'vided with a baffle .50, shown in Fig. 2, having a restricted aperture 220; inaxial alignment .with the aperture 24. V
"The'focussing system comprises a cylindrical electrode 29'coaxial with'the cathode,jseated upon a fl ange 30 upon ,the cylinder 2t, and supported from bands or collars 3i clamped about the stem 15 by a plurality of uprights or. wires 32 one of L which is. connected" to aleading-in conductor 33 ,sealed' in the press [6. It comprises also a i dished or cupped electrode 34 having a central aperture 35 in alignment with the apertures 23:
- and 24; The electrode 34 may be insulatingly supportedfrom the cylindrical electrode 29.
The electrode 34 has electrically integral there- A suitable potential may be and shield 31 through a leadingk-in-conductor, not
shown. 'The; barrier or'baflle 36 serves to prevent the potentials of the deflector plates, to be dehereinafter, from affecting the focussing scribed jwithinfthe'sleeve ll, the sleeve and filament besive portion I3 of the cathode are concentrated into a stream passing into the electrode 22 through the aperture 22, and are focussed into a beam of small cross-sectional dimensions which passes throughthe aperture 38 and between the deflector plates 40 and 4| and impinges upon the fluorescent screen13 whereby a luminescent spot is produced upon the screen. The rate or density of electron flowmay be varied by varying the potentialof the electrode 2! and the beam may be deflected by applying suitable'potentials to the deflectorplates wand 4L I 1 l The intensity of "the spot produced upon the creen l3 will be dependentgofcourse, upon the current density of the electronbeam and this in turn is dependent upon; among other things, the proportion of the electrons emanating from the surface ll! of the cathode which issue from the aperture 24a. This proportion in turn is determined largely by the nature of the electric fields extant in the vicinity of the cathode and in the region between the cathode and'the electrode 22.
In general, 'it has been ascertained that in order that satisfactory collimation maybe attained, the potential gradients in the vicinity of the cathode shouldbe moderately small, the radial gradient of the field should increase progressively with distance away from the cathode and there should be agradient toward the axis X-X of the electrode system. Thus; the electrons should be accelerated in the direction along the axis and simultaneously subjected to a field 'which concentrates them toward the axis and counteracts the dispersive effect of space charge.
The field and held distribution are dependent the electrodes in the region under investigation. The relation between the radial gradient and the potential distribution along the axis of an axially symmetrical system "may be expressed by the equation V 2 .4 a i s grf c rvc s 1) iwhere Vow) isthe potential at a point a distance r from a pointin the axis; which point is at a distance x from the origin of the system. The potential along the axis is afunction, fix), of distance from the origin. a For most practical purposes, terms beyond the 1 term can lected'inasmuch as r is quite small. 7
From Equation 1 it will be seen that a gradient toward the axis exists only if f"(r)',: the second derivative of the potential as a'. function of the distance along the axis, ispositive. Some fields which would satisfythis condition and also the conditions that there should be a small potential upon the configuration and relative potentials of gradient in the vicinity of the cathode and that the field should increase progressively along the axis, are fields given by the relations where E is the potential on the axis a distance at from the origin of the system (in the immediate vicinity of the cathode), K is a constant and e is the Naperian base. For fields satisfying the relation given above, it will be noted that for all cases except E=Km the second derivative contains a function of 3:, so that the radial gradient increases as the electron moves parallel to the axis and acquires greater axial velocity. This is desirable inasmuch as the radial gradient should be smaller in the regions where axial velocity is low in order that the electrons will not cross the axis at an early time in their fiight.
Fields having the desired characteristics set forth hereinabove can be obtained, it has been found, by maln'ng electrodes of such configuration that they conform to equipotential boundaries of the desired field. Between a pair of electrodes of such construction and operated at suitable potentials, the space between the electrodes would have the desired potential distribution, of course, if the equipotential surfaces were closed surfaces. It has been found that the potential distribution established between equipotential surfaces which are not closed but tend to converge, approach the optimum sufliciently closely for practical purposes.
The configuration of the equipotential surfaces may be determined mathematically in the following manner from Equation 1 given hereinabove. Let a represent a particular value of 3:. Then V(a,o) =f(a) (3) and the equationfor an equipotential line passing through a, is
By substiwhich may be put into the form ii E5 which, of course,.is the equation for a hyperbola. Where a=0,
so that the equipotential line of zero potential is a straight line. The equipotential lines of other than zero potential are hyperbolae having the zero potential line as an asymptote. The equipotential surfaces, then, obtained as noted before, by rotating the equipotential lines about the axis are a cone and a familyof hyperboloids.
If, as another specific illustration, f(a:)=Ka:
It can be shown that for practical purposes of electrode design the 1 term is negligibly small, so that Equation 7 may bewritten as When (i=0, r=0.5'77x. For this case, as for the first case noted above, the zero equipotential boundary is generated by a straight line and the other equipotential surfaces are generated by curves asymptotic to the straight line.
A diagram illustrating the equipotential lines plotted from equations derived as above is shown in Fig. 3, which illustrates the case where In this figure, M, M are the equipotential lines of zero potential and the curves B, asymptotic to M, M, are the equipotential lines for other than zero potential. For other cases, that is, where and n is an integer, 2 or greater, the equipotential lines will be similar to those shown in Fig. 3 differing therefrom principally in the curvature, as to curves B, and in slope, as to lines M, M.
For the case where r 2 =Ke", e=e 1 z+gzq As noted heretofore, the 1 terms, and higher order terms of r are negligibly small for practical purposes. Disregarding these terms, then, i
come asymptotic to the lines r=:2, parallel to the :1: axis. Fig. 4 is a diagram showing the equipotential lines for this case. It will be noted that, inasmuch as the limiting lines (1'=J;2)
are parallel to the axis, the diameter of the systern is definitely established, at :r=0, the potential is unity, instead of zero as in the cases pre-' viously considered, and the system has no real origin or zero electrical boundary.
For any particular electrode system, the field distribution, andhence the configuration of the electrodes used, will be determined by practical mechanical design considerations. Thus, curves for low powers of a: must be extended to relatively' large radial distances before they approach convergence and, as a result, large diameter electrode systems would be necessary. Conversely, curves for higher powers of an approach convergence at relatively small radial distances so that smaller diameter electrode systerns may be utilized.
A suitable relation for devices of generally the size commonly employed is the one wherein J(:v)=K.r The field distribution in a collimating system satisfying this relation is such that the radial gradient at any point in the collimating field is proportional to the square of the distance from the axis and to the fourth power of the distance along the. axis. Hence, the
radial gradient is small inthe vicinity of the cathode and increases very rapidly as the electrons approach the central portion of the electrode 22 toward the cathode.
The particular spacing between the surfaces ofthe cathode I9 and electrode 22 is dependent upon the operating characteristics desired. Thus,
,This, it will be apparent, is the equation for a family of curves which, at large values of :11, be-
Y vertex 0.
in a specific arrangement of electrodes illustrated in Fig. 2, the inner surface of the electrode 2!, which, as noted before, is utilized as the modulating electrode, conforms to the con ical surface generated by rotating the line M in Fig. 3 about the axis XX. The vertex of the cone is the origin of the system. The vertex of the surface of the electrode 22 toward the cathode is located 9 units of an inch in a specific case) from the vertex 0 and conforms to the'surface generated by rotation of the curve B in Fig. 3 having its vertex 9 units from the In a particular case, it. may be desired to have the voltage required on the rnodulator electrode 2| to suppress the electron beam about as great as the voltage on the electrode 22. For this voltage relation, the cathode emitting surface l8 should be slightly more positive (with. respect to the modulating electrode) than the equipotential boundary of the field immediately in front of the cathode. Hence, the cathode should be positioned substantially 9 X 20 units from the origin of the system.
The dimensions of the aperture Na in the electrode 22 will depend upon the beam desired and the dimensions of the electrodes. For the particular structure described in the preceding paragraph, an aperture to mils in diameter has been found satisfactory to produce a small well-defined spot on the'screen 13.
It may be remarked that the configuration of the portion I8 of the cathode is of some import. For large area cathodes and high current electron beams the surface l8 should be of such shape as to coincide with an equipotential boundary of the field. For small cathodes and low current beams, the. surface l8 may be plane without introducing material distortion effects.
In a collimating system constructed as described above, it has been found that a very large proportion, up to 95 per cent, of the electrons emanating from the cathode are directed intoparaxial paths and constitute a concentrated beam passing through the aperture 24, which may be focussed into a sharply defined spot of small dimensions on the screen l3. The beam may be modulated without substantial alteration in the definition or size of the spot.
As pointed out heretofore, the electrons issuing from the aperture 24 come under the influence of the fields of a focussing system comprising the electrodes 29 and 34. In focussing electrons, the problems are similar to those encountered in connection with collimation and considered heretofore. In general, focussing involves the determination of the paths of individual electrons so that the electrons are directed toward the axis of the system and produce a sharply defined spot of small cross-sectional area upon the electron receiving element, for example, the
screen IS. The focussing obtained is dependent,
It will be noted that for potential distributions up to the order of. E==Kzr along the axis X--X of the system there is substantially no inherent aberration in the focussing system, the lens action of the aperture 35 beingv substantially negligible. For higher order distributions, aberration terms appear in the formulae for field distribution. However, as will be pointed out hereinafter, such aberration may be substantially eliminated.
Although, as will be apparent from the preceding discussion of the. collimating system, a variety of potential distributions may be employed to produce excellent focussing, a particularly suitable distribution for structural and space considerations is that represented by the relation E=Ke wherein, as illustrated in Fig. 4, the asymptotic boundary is a cylinder. For this case, as shown in Fig. 1, the electrode 29 is a cylinder and the electrode 34 conforms to. an
equipotential surface of the form, substantially hemispherical, shown in Fig 4.
The determination of requisite potential ratios for a focussing system may be accomplished in accordance with the following considerations with particular reference to Fig. 5. In this figure, x1 and x2 are regions distances x1 and $2 from the origin of the system and it is assumed that the potential distribution along the axis is equal to fun) between these points. Assume that the electron stream entering the focussing. system originates at a point P1, e. g. in the limiting aperture 24a, on the axis a distance d1 from an. traverses the path indicated generally by the line a, b, c, and returns to the axis at point P2 a distance d2 from x2. an in the device shown in Fig. l is approximately at. the end of the cylinder 29 toward the cathode. In view of the small values of r encountered in practice it may be assumed for practical purposes that electrons enter the field at 001 with axial velocities corresponding to the potential (x1) and that the axial velocity is the same for all electrons irrespective of the distance r at which they enter the field. Between 1 and .732 the average value of 1' is substantially a constant.
It can be shown, then. that for any systematic potential distribution along the axis of an axially symmetrical system the following general relation exists:
, 2 ma -/f(w1 if" I: we) f( e d2 we) This equation, it will be noted, involves the four quantities (B1, are, dr and d2. Knowing any three of these quantities enables solution for the fourth. The quantities dt and (is will be established by the mechanical requirements and geometry of the focussing system employed. d2 is approximately the distance between the aperture 35(132) and the screen 13(P2). d1 is dependent upon the geometry of the system and may be estimated from experience. x1 represents the position in the potential field corresponding to the energy of the introduced electrons, i. e., substantially at the end of the electrode 29 nearest the cathode and its value is readily determinable fromthe equations for the axial field distribution employed. 1132, then, may be considered as the quantity for which the equation is to be solved.
The case where the potential distribution is as shown in Fig. 4 (f(r)=Ke may be used as a specific illustration. :1 For this case, Equation 10 may be writtenin simplified formias; I.
x2 an? Aspointed out abovein connection with Equation 11 the-r terms represent aberration and are very small. The inherent aberration may bereduced, if necessary. by increasing the diam.- eter of the cylindrical electrode 29 and thus thereby decreasing the relative magnitude of the beam diameter.
For the specific case (,flzc) :Ke described above, the length of the cylindrical electrode 29 is not of particular import with respect to the focussing action of the field although it does enter into the magnitude of the inherent aberration and affects the image] and object distances. 1 In general, increasing the length of this cylindrical electrode decreases the aberration. This may be seenfrom the following: if the calculations for focussing given above are generalized by letting E=EK$ instead of E Ke the equation for the equipotential surfaces-is which, it will be noted, is the same as Equation 9 except for the introductionof the fact or K in the exponent for that term. The equation for the path of the electron then becomes which, it will be noted, is the same as Equation 11 except for the introduction of the factor K at various points in the equation.
From Equation 13, it will be apparent that if K is considerably less than unity, the magnitude of the aberration term is greatly reduced. Small values of K obtain if the exponential field extends along a long cylinder. Hence, increasing the length of the focussing cylinder 29 decreases the aberration.
Although a specific embodiment of the invention has been shown and described, it will be understood, of course, that it is but illustrative. For example, in the collimating system, the electrodes, may have surfaces conforming to equipotential boundaries of a field other than that corresponding to the relation of f(.r)=K:z; and in the focussing system, the electrodes may have surfaces conforming to equipotential boundaries of a field other than that corresponding to The particular field distribution selected for any specific device will be dependent upon mechanical considerations. It will be understood further that various modifications may be made in the specific embodiment disclosed without departing from the scope and-spirit of this invention as defined in the appended'claims.
What is claimed is: y
.1. 'An electron discharge device comprising an electron source, an electron receiving element spaced from said source, and an electrode system between said source and said element, said system including a pair of spaced electrodes in axial alignment with said source and having opposed surfaces conforming to equipotential boundaries of a field corresponding to a predetermined exponentially increasing potential distribution along the axis of alignment.
2. An electron discharge device comprising an electron source, an electron receiving element face conforming to an equipotential boundary of said field.
4. An electron discharge device in accordance with claim 2 wherein said opposed surfaces conform to equipotential boundaries of a field corresponding to a potential which increases along said axis according to the relation where E is the potential, K is a constant, a: is the distance along said axis withrespect to the origin of the system and 11. B2 or greater.
5. An electron discharge device in accordance with claim 2 wherein said opposed surfaces conform to equipotential boundaries of afield corresponding to a potential which increases along said axis according to the relation where E is the potential, K isa constant, e is the Naperian base, and a: is the distance along said axis with respect to the origin of the system.
6. An electron discharge device comprising an electron source, an electron receiving element spaced from said source, and an electrode system between said source and said element including a pair of spaced electrodes in alignment with each other and with said source, said electrodes having opposed surfaces conforming to equipotential boundaries of a field corresponding to a potential which increases progressively toward said element along the axis of alignment and which has a gradient toward said axis which increases with distance parallel to said axis and toward said element.
7. An electron discharge device comprising an electron source, an electron receiving element spaced from said source, and an electrode system between said source and said element including an electrode in axial alignment with said source and having a central aperture and a second electrode between said source and said first electrode and in axial alignment therewith, the surface of said second electrode toward said source conforming to a second or higher order curve of the distance along the axis of alignment from the origin of the system, and the surface of said first electrode towardsaid first surface conforming to aboundary substantially asymptotic to'sald first surface. i
. 8;. An electron discharge device in accordance with claim 7 wherein said first surface conforms to an equipotential boundary of a field corresponding to a potential which increases along the axis of aligmnent according to the relation where E is the potential, K is a.- constant,, a: is: the distance from. the origin of the system, and n is 2 or greater, and said surface of said first electrode is substantially conical.
9. An electron discharge device in accordance with claim 7 wherein said first surface conforms to an equipotential boundary of a field corresponding to a potential which increases along the axis, of alignment according to the relation E=Ke where E is the potential, K is a constant, e is the Naperian base and x is the distance from the origin of the system, and said second surface is cylindrical. V
10. An electron discharge device comprising an electron source, a. collimating system including a. pair of electrodes in axial alignment with said source, said electrodes having opposed surfaces conforming to equipotential boundaries of a field corresponding to a potentialwhich increases progressively, away from said source along the axis of alignment and the secondderivative of which as a function of distancealong said axis is positive, anelectron receiving element, and a focussing system between said collimating system and said electron receiving element, said foeussing system including a pair ofelectrodes in axial alignment with said source and said first electrodes and having opposed surfaces conforming to equipotential boundaries of a field corresponding to a potential which increases progressively along said axis toward said element and the second derivative of which as a function of the distance along said axisis positive.
11. An electron discharge device in accordance with claim 10 wherein said electron source comprises a cathode ha'ving an. electron emissi've surface conforming to an equipotentlal boundary of said first field.
12. An electron discharge device in accordance with claim 10 wherein the electrode of the fo- 7 cussing system nearest said source is electrically integral with the electrode of said collimating system furthest from said source.
13. An electron discharge device in accordance with claim 10 wherein the opposed surfaces of said first electrodes conform to equipotential boundaries of a field corresponding" to a potential increasing along said axis according to the relation E=Kx" and wherein the opposed surfaces of said second electrodes conform to equipotential boundaries of a field corresponding to a potential increasing along said axis according; to the relation E==Ke where E is the potential, K is a constant, e is the Naperian base, a: is the distance along said axis and n is 2 or greater.
14. An electron discharge device comprising a and said element including an elongated cylindrical electrode coaxial with said firstelectrodes and a second electrode at the end of said cylindrical electrode toward said element, having a substantially hemispherical surface facing toward said collimating system and having also a central aperture in axial alignment with said cathode.
MYRON. S. GLASS.
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US2452062A (en) * 1943-07-29 1948-10-26 Raytheon Mfg Co Electrical discharge tube
US2488132A (en) * 1946-10-30 1949-11-15 Du Mont Allen B Lab Inc Deflection system for cathode-ray tubes
US2529134A (en) * 1947-10-02 1950-11-07 Rauland Corp Support for electron guns
US2592242A (en) * 1946-07-02 1952-04-08 Gen Electric Electron gun and mounting therefor
US2644906A (en) * 1951-08-11 1953-07-07 Gen Electric Electron beam discharge device
US2656481A (en) * 1950-12-13 1953-10-20 Du Mont Allen B Lab Inc Electron gun centering device for cathode-ray tubes
US2672568A (en) * 1951-03-27 1954-03-16 Int Standard Electric Corp Electron gun for cathode-ray tubes
US2782333A (en) * 1954-08-18 1957-02-19 Rca Corp Shortened triple gun for color television
US2790106A (en) * 1950-05-02 1957-04-23 Philips Corp Discharge tube for ultrahigh frequencies
US2807739A (en) * 1950-08-12 1957-09-24 Csf Devices of focusing of electronic beams
US2839703A (en) * 1956-01-03 1958-06-17 Columbia Broadcasting Syst Inc High resolution image cathode ray tube system

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US2441769A (en) * 1942-03-24 1948-05-18 Emi Ltd Electron lens system
US2452062A (en) * 1943-07-29 1948-10-26 Raytheon Mfg Co Electrical discharge tube
US2592242A (en) * 1946-07-02 1952-04-08 Gen Electric Electron gun and mounting therefor
US2488132A (en) * 1946-10-30 1949-11-15 Du Mont Allen B Lab Inc Deflection system for cathode-ray tubes
US2529134A (en) * 1947-10-02 1950-11-07 Rauland Corp Support for electron guns
US2790106A (en) * 1950-05-02 1957-04-23 Philips Corp Discharge tube for ultrahigh frequencies
US2807739A (en) * 1950-08-12 1957-09-24 Csf Devices of focusing of electronic beams
US2656481A (en) * 1950-12-13 1953-10-20 Du Mont Allen B Lab Inc Electron gun centering device for cathode-ray tubes
US2672568A (en) * 1951-03-27 1954-03-16 Int Standard Electric Corp Electron gun for cathode-ray tubes
US2644906A (en) * 1951-08-11 1953-07-07 Gen Electric Electron beam discharge device
US2782333A (en) * 1954-08-18 1957-02-19 Rca Corp Shortened triple gun for color television
US2839703A (en) * 1956-01-03 1958-06-17 Columbia Broadcasting Syst Inc High resolution image cathode ray tube system

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US2268195A (en) 1941-12-30
US2245581A (en) 1941-06-17
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FR52414E (en) 1944-04-13
US2268165A (en) 1941-12-30
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US2268197A (en) 1941-12-30
US2268196A (en) 1941-12-30

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