CN103412983A - Quasi-optical phase correction surface design method - Google Patents

Quasi-optical phase correction surface design method Download PDF

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CN103412983A
CN103412983A CN2013103078747A CN201310307874A CN103412983A CN 103412983 A CN103412983 A CN 103412983A CN 2013103078747 A CN2013103078747 A CN 2013103078747A CN 201310307874 A CN201310307874 A CN 201310307874A CN 103412983 A CN103412983 A CN 103412983A
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phase place
tru
ing face
place
quasi
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CN103412983B (en
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赵青
刘建卫
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University of Electronic Science and Technology of China
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Abstract

A method for designing quasi-optical phase correcting surface includes aligning optical phaseX-direction perturbation of correction surfaceIn a design method of (2), wherein said perturbation isWhereinIs the phase of the Y-component of the inverted gaussian beam electric field at the phase correction surface,the phase of the Y-direction component of the electric field of the forward wave beam at the phase correction surface;is the wavenumber, α is the forward beam incident angle; as described aboveThe phase of the Y-direction component of the electric field of the forward beam calculated by the vector diffraction theory,is a function of the Gaussian beam, i.e.=And U is a Gaussian beam. The method for designing the quasi-optical phase correction surface, which is disclosed by the invention, is adopted, namely, the phase reflection surface is designed by adopting a vector diffraction theory, and the method is different from a method of a scalar diffraction theory and is more accurate than the method of designing the phase reflection surface by the scalar diffraction theory.

Description

A kind of quasi-optical phase place tru(e)ing face method for designing
Technical field
The invention belongs to the physical electronic field, relate to microwave device, particularly a kind of quasi-optical phase place tru(e)ing face method for designing.
Background technology
The high frequency output structure of the built-in quasi-Optical Mode Converter of high-power gyrotron mainly consists of Fu Lasuofu radiator (Vlasov launcher) and higher order reflection mirror.The higher order reflection mirror can be divided into general rule minute surface and the phase place tru(e)ing face, and the minute surface of general rule is to make to focus on from the microwave that radiator radiates, and does not have the effect of phase place correction.
Go out as shown in Figure 1 the typical implementation of the high frequency output structure of the built-in quasi-Optical Mode Converter of above-mentioned high-power gyrotron, microwave reflexes to the phase place tru(e)ing face from Fu Lasuofu radiator incision through the cylinder minute surface, after the phase place tru(e)ing face, export from output window, microwave working direction from the phase place tru(e)ing face to output window is defined as the X-direction of three-dimensional cartesian coordinate system, Y-direction in Fig. 1 is perpendicular to Z-direction and X-direction, Y-direction reality, perpendicular to paper, for the purpose of directly perceived, is drawn as pattern shown in Figure 1.
Microwave from cylinder minute surface Fig. 1 to the phase place tru(e)ing face is called the forward direction microwave, microwave from output window to the phase place tru(e)ing face is called backward wave, for on the phase place tru(e)ing face, reaching the purpose of phase place correction, need on the phase place tru(e)ing face, be increased in the displacement on X-direction, this displacement
Figure 956290DEST_PATH_IMAGE002
On the phase place tru(e)ing face, change with the Z-direction changes in coordinates, implementation is on the minute surface of otherwise smooth, to increase irregular projection, and the height of projection is displacement
Figure 718316DEST_PATH_IMAGE002
, and rising height changes with quasi-optical phase place tru(e)ing face Z-direction changes in coordinates.
According to general microwave theory, for example, described in " electromagnetic theory in microwave and optoelectronics " (Zhang Keqian, Li Dejie Electronic Industry Press calendar year 2001), the microwave phase correction need to be analyzed microwave magnetic field and Electric Field Distribution, wherein magnetic field
Figure 488695DEST_PATH_IMAGE004
, electric field
Figure 676094DEST_PATH_IMAGE006
, U is Gaussian beam,
Figure 349783DEST_PATH_IMAGE008
For permeability of vacuum,
Figure 597224DEST_PATH_IMAGE010
For permittivity of vacuum,
Figure 667949DEST_PATH_IMAGE012
For the microwave angular frequency.Here based on the analysis of principle, the magnetic field of Gaussian beam and electric field are expanded into to vector.And in practical engineering application, people usually adopt this tittle Scalar operation, integral body to bring into and adopt the scalar diffraction theory to carry out correlation computations, aforesaid phase correction procedure has been introduced to larger error, make the revised Gaussian beam mode purity of phase place lower.
At " design of 94GHz gyrotron quasi-Optical Mode Converter " (Liu Jianwei, Zhao Qing, Li Hongfu, Acta Physica Sinica the 10th phase in 2011) and " the built-in quasi-Optical Mode Converter of 94GHz TE62 mould " (Niu Xinjian, Gu Ling, in Xinhua, Li Hongfu infrared to millimeter wave journal in October, 2011) etc. mentioned the vector diffraction theory that microwave is relevant in document, magnetic field and the Electric Field Distribution of Gaussian beam have been done to vector analysis and calculating.
Summary of the invention
For overcoming prior art, can not reach the technological deficiency of higher Gaussian beam mode purity to the correction of the phase place tru(e)ing face, the invention discloses a kind of quasi-optical phase place tru(e)ing face method for designing.
Quasi-optical phase place tru(e)ing face method for designing of the present invention, comprise the X-direction perturbation of the alignment light phase place tru(e)ing face
Figure 908306DEST_PATH_IMAGE002
Method for designing, it is characterized in that described perturbation
Figure 201333DEST_PATH_IMAGE014
, wherein
Figure 619676DEST_PATH_IMAGE016
For the phase place of reverse Gaussian beam electric field Y-direction component at phase place tru(e)ing face place,
Figure 99068DEST_PATH_IMAGE018
For the phase place of forward direction wave beam electric field Y-direction component at phase place tru(e)ing face place;
Figure 582264DEST_PATH_IMAGE020
For wave number, α is forward direction wave beam incident angle;
Preferably,
Figure 214234DEST_PATH_IMAGE022
=
Figure 52745DEST_PATH_IMAGE024
, wherein choosing of reverse wave beam U adopted to the resolution of vectors method, U is considered as to the vector in three-dimensional cartesian coordinate system, the value of U is only got to the component of U in Y-direction.
Further, right
Figure DEST_PATH_IMAGE025
The process of asking for be:
Oppositely Gaussian beam is at the electric field at phase place tru(e)ing face place
Figure DEST_PATH_IMAGE027
U is Gaussian beam,
Figure 658914DEST_PATH_IMAGE008
For permeability of vacuum,
Figure 54123DEST_PATH_IMAGE028
For permittivity of vacuum, For the microwave angular frequency;
Figure 815592DEST_PATH_IMAGE016
= , imag wherein, real means respectively the plural number in bracket is got to imaginary part and real part.
Further, right The process of asking for be:
Calculate the electric field of forward-wave at phase place tru(e)ing face place
Wherein forward-wave is in the magnetic field at phase place tru(e)ing face place
Figure 756817DEST_PATH_IMAGE036
Wherein G is Green function, , S1 is the area of cylinder minute surface,
Figure 185841DEST_PATH_IMAGE040
For cylinder minute surface incident magnetic field,
Figure 400572DEST_PATH_IMAGE042
For wave number, R is the distance from the cylinder minute surface to the phase place tru(e)ing face,
Figure 768099DEST_PATH_IMAGE044
For cylinder minute surface normal vector;
To vector
Figure 744145DEST_PATH_IMAGE046
Get the Y-direction component, obtain
Figure 471799DEST_PATH_IMAGE048
Figure 52953DEST_PATH_IMAGE032
=
Figure 388119DEST_PATH_IMAGE050
；
Described cylinder minute surface is the cylindrical reflective minute surface before the phase place tru(e)ing face on the microwave progress path.
Adopt a kind of quasi-optical phase place tru(e)ing face method for designing of the present invention, adopt vector diffraction theory designed phase reflecting surface, be different from the method for scalar diffraction theory, more accurate than the phase reflection face of scalar diffraction theory design .
The accompanying drawing explanation
Fig. 1 illustrates the typical implementation of the high frequency output structure of the built-in quasi-Optical Mode Converter of high-power gyrotron.
Embodiment
Below in conjunction with accompanying drawing, the specific embodiment of the present invention is described in further detail.
A kind of quasi-optical phase place tru(e)ing face method for designing, comprise the X-direction perturbation of the alignment light phase place tru(e)ing face Method for designing, described perturbation
-----①
Wherein
Figure 319931DEST_PATH_IMAGE022
For the phase place of reverse Gaussian beam electric field Y-direction component at phase place tru(e)ing face place,
Figure 12950DEST_PATH_IMAGE018
For the phase place of forward direction wave beam electric field Y-direction component at phase place tru(e)ing face place;
Figure 166851DEST_PATH_IMAGE020
For wave number, α is forward direction wave beam incident angle;
Above-mentioned subscript 1 and 2 means respectively reverse Gaussian beam and forward direction wave beam, as shown in Figure 1, from the cylinder minute surface to the phase place tru(e)ing face, being the forward direction wave beam, from output window, be reverse Gaussian beam to the Gaussian beam the phase place tru(e)ing face, more generally definition mode is, through the wave beam before the phase place tru(e)ing face, be the forward direction wave beam, the Gaussian beam from output window to the phase place tru(e)ing face is reverse wave beam.α is forward direction wave beam incident angle, i.e. incident wave beam and the incidence point tangent plane method angle between mutually.
According to common microwave theory, the phase differential on the microwave working direction equals wave number and is multiplied by forward travel distance, for reaching best mode purity, to perturbation
Figure 734842DEST_PATH_IMAGE002
Processing apply this theory, the size of perturbation is forward travel distance, converts through geometric angle, easily obtains
Figure 87326DEST_PATH_IMAGE014
--------2., wherein
Figure 967557DEST_PATH_IMAGE016
For the phase place of reverse Gaussian beam electric field Y-direction component at phase place tru(e)ing face place,
Figure 592442DEST_PATH_IMAGE018
For the phase place of forward direction wave beam electric field Y-direction component at phase place tru(e)ing face place.
More 1. formula and 2. formula, visible improvements of the present invention only are being concerned about the phase differential in Y-direction, for the three-dimensional cartesian coordinate system shown in Figure 1, microwave working direction from the phase place tru(e)ing face to output window is defined as the X-direction of three-dimensional cartesian coordinate system, X-direction is the Gaussian beam collecting direction, Y-direction is perpendicular to Z-direction and X-direction, actual in paper, Z-direction be also simultaneously the Fu Lasuofu radiator axially, perpendicular to the Y-direction electric field component of Z-direction and collecting direction X-direction, more can truly reflect the energy distribution of Gaussian beam.
Utilize =
Figure 423312DEST_PATH_IMAGE024
, wherein U is reverse Gaussian beam, and reverse Gaussian beam U is asked to its Y-direction component, the reverse Gaussian beam phase place obtained is the reverse Gaussian beam phase place of Y-direction component.
To the phase place of reverse Gaussian beam electric field Y-direction component at phase place tru(e)ing face place
Figure DEST_PATH_IMAGE053
Ask for specifically and can adopt following implementation,
According to electromagnetic theory,
Magnetic field
Figure 959598DEST_PATH_IMAGE004
, electric field
Figure 822512DEST_PATH_IMAGE054
Magnetic field and electric field are launched respectively at three-dimensional, can obtain
Figure 233770DEST_PATH_IMAGE056
，
Figure 498530DEST_PATH_IMAGE058
In following formula , can obtain
According to general microwave theory, 3. substitution following-8. formula,
Figure 637453DEST_PATH_IMAGE064
③
The Y-direction beam radius
Figure 756719DEST_PATH_IMAGE066
-----4.
The Z-direction beam radius -------5.
Y-direction wavefront curvature radius
Figure 298745DEST_PATH_IMAGE070
------6.
Z-direction wavefront curvature radius
Figure 802538DEST_PATH_IMAGE072
--------7.
Standard Gaussian beam phase place
Figure 527043DEST_PATH_IMAGE074
------8.
Figure DEST_PATH_IMAGE075
For wave number,
Figure 90880DEST_PATH_IMAGE076
For permeability of vacuum,
Figure DEST_PATH_IMAGE077
For permittivity of vacuum,
Figure 664949DEST_PATH_IMAGE012
For the microwave angular frequency,
Figure DEST_PATH_IMAGE079
For wavelength,
Figure DEST_PATH_IMAGE081
,
Figure DEST_PATH_IMAGE083
Be respectively microwave and girdle the waist at the coordinate on Y-Z plane,
Figure DEST_PATH_IMAGE085
,
Figure DEST_PATH_IMAGE087
Be respectively the coordinate with a tight waist of Y-direction and Z-direction.
By above-mentioned various, can obtain the Y-direction component of Gaussian beam, try to achieve in 1. formula at phase place tru(e)ing face place .
To the phase place of forward direction wave beam electric field Y-direction component at phase place tru(e)ing face place
Figure 673149DEST_PATH_IMAGE018
Ask for specifically and can adopt following implementation:
Calculate the electric field of forward-wave at phase place tru(e)ing face place
Figure 407887DEST_PATH_IMAGE090
The electric field obtained
Figure 705138DEST_PATH_IMAGE046
For the vector in aforementioned three-dimensional system of coordinate.
Wherein forward-wave is in the magnetic field at phase place tru(e)ing face place
Figure 2013103078747100002DEST_PATH_IMAGE092
Wherein G is Green function, , S1 is the area of cylinder minute surface,
Figure 2013103078747100002DEST_PATH_IMAGE095
For cylinder minute surface incident magnetic field,
Figure 3264DEST_PATH_IMAGE042
For wave number, R is the distance from the cylinder minute surface to the phase place tru(e)ing face in Microwave Path,
Figure 951629DEST_PATH_IMAGE044
For cylinder minute surface normal vector; The whole area upper integral of integral representation to the cylinder minute surface.
Those skilled in the art, according to the vector diffraction theory, can easily calculate cylinder minute surface incident magnetic field from the electromagnetic field distribution of Fu Lasuofu radiometer incision .And the electromagnetic field of Fu Lasuofu radiometer incision also can calculate.
The electromagnetic field of Fu Lasuofu radiometer incision:
Figure DEST_PATH_IMAGE096
--------------⑨
Calculate cylinder minute surface incident field:
Figure DEST_PATH_IMAGE098
---⑩
9. above-mentioned, 10. in two formulas, the computing of parameters and value are state of the art, at " design of 94GHz gyrotron the quasi-Optical Mode Converter " (Liu Jianwei described in background technology, Zhao Qing, Li Hongfu, Acta Physica Sinica the 10th phase in 2011) and " the built-in quasi-Optical Mode Converter of 94GHz TE62 mould " (Niu Xinjian, Gu Ling, in Xinhua, Li Hongfu infrared with millimeter wave journal in October, 2011) in narration is in detail accurately arranged.
Obtain the electric field of forward-wave at phase place tru(e)ing face place
Figure 2013103078747100002DEST_PATH_IMAGE099
After, to vector
Figure 831696DEST_PATH_IMAGE099
Get the Y-direction component, obtain
Figure 2013103078747100002DEST_PATH_IMAGE100
Figure 215404DEST_PATH_IMAGE032
=
Figure 346171DEST_PATH_IMAGE050
；
Described cylinder minute surface is the cylindrical reflective minute surface before the phase place tru(e)ing face on the microwave progress path.
Adopt a kind of quasi-optical phase place tru(e)ing face method for designing of the present invention, adopt vector diffraction theory designed phase reflecting surface, be different from the method for scalar diffraction theory, more accurate than the phase reflection face of scalar diffraction theory design.
Previously described is each preferred embodiment of the present invention, preferred implementation in each preferred embodiment is if not obviously contradictory or take a certain preferred implementation and be prerequisite, each preferred implementation stack combinations is arbitrarily used, design parameter in described embodiment and embodiment is only the invention proof procedure for clear statement inventor, not in order to limit scope of patent protection of the present invention, scope of patent protection of the present invention still is as the criterion with its claims, the equivalent structure that every utilization instructions of the present invention and accompanying drawing content are done changes, in like manner all should be included in protection scope of the present invention.

Claims (3)

1. a quasi-optical phase place tru(e)ing face method for designing, comprise the X-direction perturbation of the alignment light phase place tru(e)ing face
Figure 10935DEST_PATH_IMAGE001
Method for designing, it is characterized in that described perturbation
Figure 670455DEST_PATH_IMAGE002
, wherein
Figure 721588DEST_PATH_IMAGE003
For the phase place of reverse Gaussian beam electric field Y-direction component at phase place tru(e)ing face place,
Figure 332304DEST_PATH_IMAGE004
For the phase place of forward direction wave beam electric field Y-direction component at phase place tru(e)ing face place;
Figure 494295DEST_PATH_IMAGE005
For wave number, α is forward direction wave beam incident angle;
A kind of quasi-optical phase place tru(e)ing face method for designing, is characterized in that as claimed in claim 1, =
Figure 964777DEST_PATH_IMAGE007
, wherein choosing of reverse wave beam U adopted to the resolution of vectors method, U is considered as to the vector in three-dimensional cartesian coordinate system, the value of U is only got to the component of U in Y-direction.
2. a kind of quasi-optical phase place tru(e)ing face method for designing as claimed in claim 2, is characterized in that, right The process of asking for be:
Oppositely Gaussian beam is at the electric field at phase place tru(e)ing face place
U is Gaussian beam,
Figure 399934DEST_PATH_IMAGE010
For permeability of vacuum, For permittivity of vacuum,
Figure 118458DEST_PATH_IMAGE012
For the microwave angular frequency;
Figure 622252DEST_PATH_IMAGE003
=
Figure 110871DEST_PATH_IMAGE013
, imag wherein, real means respectively the plural number in bracket is got to imaginary part and real part.
3. as a kind ofly as claim 2 state quasi-optical phase place tru(e)ing face method for designing, it is characterized in that, right
Figure 471445DEST_PATH_IMAGE014
The process of asking for be:
Calculate the electric field of forward-wave at phase place tru(e)ing face place
Figure 796247DEST_PATH_IMAGE015
Wherein forward-wave is in the magnetic field at phase place tru(e)ing face place
Figure 854464DEST_PATH_IMAGE016
Wherein G is Green function,
Figure 745060DEST_PATH_IMAGE017
, S1 is the area of cylinder minute surface,
Figure 479798DEST_PATH_IMAGE018
For cylinder minute surface incident magnetic field, For wave number, R is the distance from the cylinder minute surface to the phase place tru(e)ing face,
Figure 449077DEST_PATH_IMAGE020
For cylinder minute surface normal vector;
To vector Get the Y-direction component, obtain
Figure 50883DEST_PATH_IMAGE022
Figure 147015DEST_PATH_IMAGE014
=
Figure 796302DEST_PATH_IMAGE023
；
Described cylinder minute surface is the cylindrical reflective minute surface before the phase place tru(e)ing face on the microwave progress path.
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CN104795299A (en) * 2015-05-07 2015-07-22 电子科技大学 Quasi-optical mode converter capable of realizing double frequency separation
CN108021757A (en) * 2017-12-07 2018-05-11 电子科技大学 A kind of design method of High-Power Microwave Phase-retrieval
CN108134163A (en) * 2017-12-08 2018-06-08 北京大学 The aiming light mode converting means and its method of Terahertz multimode frequency is adjustable gyrotron
CN109901086A (en) * 2019-03-29 2019-06-18 电子科技大学 A kind of matched quasi-optical cellular construction of realization wave beam
CN110739519A (en) * 2019-11-20 2020-01-31 电子科技大学 phase correction surface type power combiner design method based on quasi-optical theory
CN111856150A (en) * 2020-08-18 2020-10-30 中电科仪器仪表有限公司 Error correction method for dielectric constant test of quasi-optical cavity along with frequency change

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Cited By (8)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN104795299A (en) * 2015-05-07 2015-07-22 电子科技大学 Quasi-optical mode converter capable of realizing double frequency separation
CN108021757A (en) * 2017-12-07 2018-05-11 电子科技大学 A kind of design method of High-Power Microwave Phase-retrieval
CN108021757B (en) * 2017-12-07 2020-03-10 电子科技大学 Design method for high-power microwave phase inversion
CN108134163A (en) * 2017-12-08 2018-06-08 北京大学 The aiming light mode converting means and its method of Terahertz multimode frequency is adjustable gyrotron
CN109901086A (en) * 2019-03-29 2019-06-18 电子科技大学 A kind of matched quasi-optical cellular construction of realization wave beam
CN110739519A (en) * 2019-11-20 2020-01-31 电子科技大学 phase correction surface type power combiner design method based on quasi-optical theory
CN111856150A (en) * 2020-08-18 2020-10-30 中电科仪器仪表有限公司 Error correction method for dielectric constant test of quasi-optical cavity along with frequency change
CN111856150B (en) * 2020-08-18 2024-02-02 中电科思仪科技股份有限公司 Error correction method for frequency-dependent change of quasi-optical cavity dielectric constant test

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