CN107609233B - Discontinuous field matching method of traveling wave tube general wave injection interaction model - Google Patents

Discontinuous field matching method of traveling wave tube general wave injection interaction model Download PDF

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CN107609233B
CN107609233B CN201710741159.2A CN201710741159A CN107609233B CN 107609233 B CN107609233 B CN 107609233B CN 201710741159 A CN201710741159 A CN 201710741159A CN 107609233 B CN107609233 B CN 107609233B
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phase
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胡玉禄
张肖肖
胡权
朱小芳
杨中海
李斌
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University of Electronic Science and Technology of China
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Abstract

The invention discloses a discontinuous field matching method of a traveling wave tube general wave-injection interaction model, which comprises the following steps of: s1, solving axial distribution of passive high-frequency field in one structural cycle
Figure DDA0001389143570000011
And
Figure DDA0001389143570000012
transmission power p1And p2(ii) a S2, pair
Figure DDA0001389143570000013
And
Figure DDA0001389143570000014
performing phase inversion to obtain
Figure DDA0001389143570000015
And
Figure DDA0001389143570000016
s3, pair
Figure DDA0001389143570000017
Periodic phase extension is carried out to obtain l1Axial distribution of passive high-frequency fields of segments
Figure DDA0001389143570000018
S4, carrying out phase matching on the field at the jump section to obtain the field distribution parameter with continuous phase of the high-frequency field axial component at the jump section; s5, carrying out power and reflection matching on the field at the jump section to obtain l2Axially distributing parameters of a passive high-frequency field in a structural period; s6, carrying out periodic phase prolongation on the parameters obtained in S5 to obtain field distribution
Figure DDA0001389143570000019
The invention obtains the field distribution of the whole interaction region by the methods of phase, power and reflection matching and phase prolongation, so that the general wave injection interaction theoretical model can be modeledSimulating the wave injection interaction of the traveling wave tube with a dynamic phase-velocity hopping high-frequency structure.

Description

Discontinuous field matching method of traveling wave tube general wave injection interaction model
Technical Field
The invention belongs to the traveling wave tube simulation technology, relates to an improvement of a traveling wave tube wave-injection interaction simulation method, and particularly relates to a discontinuous field matching method of a traveling wave tube general wave-injection interaction model.
Background
The traveling wave tube is the most widely used electro-vacuum device at present, and is widely applied to the fields of satellite communication, electronic countermeasure and the like due to the characteristics of wide frequency band and high power. Computer Aided Design (CAD) technology has the advantages of rapidness, cost saving and the like, and at present, microwave tube CAD software becomes an important tool for designing and optimizing the traveling wave tube. The wave injection interaction process of the traveling wave tube is the core of the working of the traveling wave tube, and how to accurately simulate the interaction process by a numerical method is an important research neighborhood of the microwave tube CAD technology.
At present, software for simulating the wave injection interaction in the traveling wave tube is mainly divided into two types, namely large-scale commercial electromagnetic simulation software adopting a particle simulation method, which has wide applicability and high precision but has too long calculation time. And secondly, the special software developed by a microwave tube research unit is based on a parameter theoretical model, the calculation speed is very high, different wave-injection interaction parameter theoretical models need to be established for different traveling wave tube types, and an effective wave-injection interaction parameter theoretical model is difficult to establish for novel traveling wave tubes such as terahertz traveling wave tubes and ribbon traveling wave tubes.
The invention patent with the application number of CN201110236508.8 provides a simulation method of the wave injection interaction of a traveling wave tube. The maximum advantage is that the theoretical model has universality aiming at traveling wave tubes of different tube types, such as a spiral line traveling wave tube, a coupled cavity traveling wave tube, a folded waveguide traveling wave tube and the like. The axial distribution of the passive high-frequency field in the whole interaction region in the theoretical model is obtained by obtaining numerical value high-frequency field distribution in one axial period of the high-frequency structure of the traveling wave tube through three-dimensional electromagnetic field simulation software or experimental tests and then carrying out period extension on the high-frequency field distribution by utilizing the FloQuel theorem. This necessarily requires that the traveling wave tube must be uniformly distributed throughout the high frequency structure. However, in order to improve the interaction efficiency of electrons, a phase velocity gradual change method and a phase velocity jump method are usually introduced into a practical traveling wave tube during design, so that the whole high-frequency structure of the traveling wave tube is not uniformly distributed any more, and a general theoretical model cannot simulate the traveling wave tubes with non-uniformly distributed high-frequency structures.
Disclosure of Invention
The invention aims to overcome the defects of the prior art and provide a method for obtaining a numerical field of a traveling wave tube high-frequency single period by using three-dimensional high-frequency simulation software and obtaining field distribution of the whole interaction region by using a phase, power and reflection matching and phase continuation method, so that the improved general wave-filling interaction theoretical model can simulate the wave-filling interaction problem of the traveling wave tube with a dynamic phase-velocity hopping high-frequency structure.
The purpose of the invention is realized by the following technical scheme: a discontinuous field matching method for a traveling wave tube general wave-injection interaction model comprises the following steps:
s1, marking the folded waveguide before the high-frequency structure jump of the wave-injection interaction of the traveling wave tube as l1Segment with a structural period length L1(ii) a The folded waveguide after hopping is denoted as2Segment with a structural period length L2(ii) a Using three-dimensional high-frequency simulation software1Segment and l2The segments are respectively represented by L1And L2Scanning and calculating parameters to obtain l1Segment and l2Axial distribution of passive high-frequency field in a structural period corresponding to the segment
Figure GDA0002631327700000021
And
Figure GDA0002631327700000022
and l1Segment andl2segment-corresponding transmission power p1And p2；
S2, pair
Figure GDA0002631327700000023
And
Figure GDA0002631327700000024
respectively carrying out phase inversion to obtain the axial distribution of the passive high-frequency field with zero initial phase
Figure GDA0002631327700000025
And
Figure GDA0002631327700000026
s3, using Froquini theorem pair
Figure GDA0002631327700000027
Periodic phase extension to obtain the whole l1Axial distribution of passive high-frequency fields of segments
Figure GDA0002631327700000028
And records the jump cross section (i.e. |)1Segment ends) passive high frequency field axial distribution
Figure GDA0002631327700000029
The field phase value of (a);
s4, axial distribution of passive high-frequency field at jump section
Figure GDA00026313277000000210
Carrying out phase matching to obtain the axial distribution parameters of the passive high-frequency field with continuous phases, which are axially distributed in the passive high-frequency field at the jump section;
s5, carrying out power and reflection matching on the axial distribution of the passive high-frequency field at the jump section to obtain matched l2The axial distribution parameters of the passive high-frequency field in a structural period corresponding to the segment;
s6, carrying out axial distribution parameters of the passive high-frequency field obtained in the step S5 by utilizing Frouqui' S theoremPeriodic phase extension to get the whole l2Axial distribution parameter of passive high-frequency field of segment
Figure GDA00026313277000000211
Further, in the step S2
Figure GDA00026313277000000212
Wherein the content of the first and second substances,
Figure GDA00026313277000000213
is axially distributed by passive high-frequency field
Figure GDA00026313277000000214
The initial phase value of (a) is,
Figure GDA00026313277000000215
is axially distributed by passive high-frequency field
Figure GDA00026313277000000216
The initial phase value of (a).
Further, the specific implementation method of step S4 is as follows: subjecting the product obtained in step S2
Figure GDA00026313277000000217
Multiplied by a phase factor
Figure GDA00026313277000000218
To obtain
Figure GDA00026313277000000219
Wherein the content of the first and second substances,
Figure GDA00026313277000000220
is 11Axial distribution of passive high frequency field at the tip
Figure GDA00026313277000000221
The phase value of the axial component of (a).
Further, the specific implementation method of step S5 is as follows: subjecting the product obtained in step S4Axial distribution parameter of passive high-frequency field
Figure GDA00026313277000000222
Multiplied by a power factor
Figure GDA00026313277000000223
Wherein p is1Is 11The transmission power of the segment; p is a radical of2Is 12The transmission power of the segment;
Figure GDA00026313277000000224
in order to be the reflection coefficient of the light,
Figure GDA00026313277000000225
is composed of
Figure GDA00026313277000000226
Is used to match the reflection coefficient1And l2And power loss caused by reflected waves due to structure jump at the two sections of contact surfaces.
The invention has the beneficial effects that: the invention can obtain the axial distribution of the passive high-frequency field of the non-uniform high-frequency structure of the whole traveling wave tube by a discontinuous field matching method: and obtaining a numerical field of a high-frequency single period of the traveling wave tube by using three-dimensional high-frequency simulation software, and obtaining field distribution of the whole interaction region by using a phase, power and reflection matching and phase continuation method. The general theoretical model is improved by using the matching method, so that the improved general theoretical model can simulate the wave injection interaction process in the traveling wave tube with the non-uniform distribution of the high-frequency structure, and has the high efficiency of the parameter theoretical model, so that the general wave injection interaction theoretical model can simulate the wave injection interaction problem of the traveling wave tube with the high-frequency structure with dynamic phase velocity jump, and the practicability of the model is greatly improved.
Drawings
FIG. 1 is a flow chart of a discontinuous field matching method of the present invention;
FIG. 2 is a schematic diagram of a high-frequency structural model of a first section and a second section of a V-band folded waveguide traveling-wave tube according to an embodiment of the present invention;
FIG. 3 is a single-period passive high-frequency field axial distribution diagram corresponding to a first section and a second section of a V-band folded waveguide traveling wave tube;
FIG. 4 is a distribution diagram of the interaction high-frequency structure of the V-band folded waveguide traveling-wave tube according to the present embodiment;
FIG. 5 is a schematic diagram of the distribution of power along the axis for solving the V-band folded waveguide traveling wave tube at 58GHz by using the method according to the embodiment.
Detailed Description
The technical scheme of the invention is further explained by combining the drawings and the specific embodiment.
As shown in fig. 1, a discontinuous field matching method for a common wave-injection interaction model of a traveling wave tube includes the following steps:
s1, marking the folded waveguide before the high-frequency structure jump of the wave-injection interaction of the traveling wave tube as l1Segment with a structural period length L1(ii) a The folded waveguide after hopping is denoted as2Segment with a structural period length L2(ii) a HFCS pair l by using three-dimensional high-frequency simulation software1Segment and l2The segments are respectively represented by L1And L2For the scanning calculation of the parameters, the number of radial grids is 20, the number of angular grids is 20, and the number of axial grids is 50; to obtain l1Segment and l2Axial distribution of passive high-frequency field in a structural period corresponding to the segment
Figure GDA0002631327700000031
And
Figure GDA0002631327700000032
and l1Segment and l2Segment-corresponding transmission power p1And p2；
S2, pair
Figure GDA0002631327700000033
And
Figure GDA0002631327700000034
respectively carrying out phase inversion to obtain the passive high-frequency signals with zero initial phaseAxial distribution of field
Figure GDA0002631327700000035
And
Figure GDA0002631327700000036
Figure GDA0002631327700000037
wherein the content of the first and second substances,
Figure GDA0002631327700000038
is axially distributed by passive high-frequency field
Figure GDA0002631327700000039
The initial phase value of (a) is,
Figure GDA00026313277000000310
is axially distributed by passive high-frequency field
Figure GDA00026313277000000311
The initial phase value of (a);
s3, using Froquini theorem pair
Figure GDA00026313277000000312
Periodic phase extension to obtain the whole l1Axial distribution of passive high-frequency fields of segments
Figure GDA00026313277000000313
And records the jump cross section (i.e. |)1Segment ends) passive high frequency field axial distribution
Figure GDA00026313277000000314
The field phase value of (a);
s4, axial distribution of passive high-frequency field at jump section
Figure GDA00026313277000000315
Carrying out phase matching to obtain the axial distribution parameters of the passive high-frequency field with continuous phases, which are axially distributed in the passive high-frequency field at the jump section; concrete implementation methodComprises the following steps: subjecting the product obtained in step S2
Figure GDA00026313277000000316
Multiplied by a phase factor
Figure GDA00026313277000000317
To obtain
Figure GDA00026313277000000318
Wherein the content of the first and second substances,
Figure GDA00026313277000000319
is 11Axial distribution of passive high frequency field at the tip
Figure GDA00026313277000000320
The phase value of the axial component of (a).
S5, carrying out power and reflection matching on the axial distribution of the passive high-frequency field at the jump section to obtain matched l2The axial distribution parameters of the passive high-frequency field in a structural period corresponding to the segment; the specific implementation method comprises the following steps: the axial distribution parameters of the passive high-frequency field obtained in the step S4
Figure GDA0002631327700000041
Multiplied by a power factor
Figure GDA0002631327700000042
Wherein p is1Is 11The transmission power of the segment; p is a radical of2Is 12The transmission power of the segment;
Figure GDA0002631327700000043
in order to be the reflection coefficient of the light,
Figure GDA0002631327700000044
is composed of
Figure GDA0002631327700000045
Is used to match the reflection coefficient1And l2Brought by reflected waves due to structural jump at two contact surfacesPower is lost.
S6, carrying out periodic phase prolongation on the passive high-frequency field axial distribution parameters obtained in the step S5 by utilizing Frouqui' S theorem to obtain the whole l2Axial distribution parameter of passive high-frequency field of segment
Figure GDA0002631327700000046
Through the operations of the above steps S1-S6,/is obtained1And l2Axial distribution parameter of passive high-frequency field of segment
Figure GDA0002631327700000047
And
Figure GDA0002631327700000048
and matching the discontinuous field of the wave tube general wave-injection interaction model. Then only need to be
Figure GDA0002631327700000049
And
Figure GDA00026313277000000410
substituting the high-frequency field equation, combining the phase equation and the motion equation of the particles, and completing the simulation of the wave-filling interaction according to the calculation steps of the general wave-filling interaction theory model. The general wave-filling interaction theory model and the calculation steps are conventional technical means in the field and are not described in detail herein.
The technical solution of the present invention will be further described in detail below by taking a V-band folded waveguide traveling wave tube with a frequency range of 58GHz-62GHz as an example. However, it should be noted that the present invention is not limited to the V-band folded waveguide traveling wave tube of 58GHz-62GHz, but is a general method for matching discontinuous field of traveling wave tube, and the helical traveling wave tube and the coupled cavity traveling wave tube are also processed according to the steps described in the present invention.
FIG. 2 shows a first high-frequency structure l of a V-band folded waveguide traveling-wave tube1And a second high-frequency structure l2In which the structural period L of the first section1Is 1.74mm, and the structural period L of the second section is1Is 1.76 mm. Drawing (A)3 is the V-band folded waveguide traveling wave tube l1And l2And correspondingly, the axial distribution diagram of the single-period passive high-frequency field. Fig. 4 is a distribution diagram of the interaction high-frequency structure of the V-band folded waveguide traveling wave tube. FIG. 5 is a schematic diagram of the power distribution along the axis for solving the V-band folded waveguide traveling wave tube at 58GHz by using the method of the present invention. It can be seen from the figure that the method of the invention can obtain higher output power, and well solves the problem of the interaction of the wave injection of the traveling wave tube with a dynamic phase-velocity hopping high-frequency structure.
It will be appreciated by those of ordinary skill in the art that the embodiments described herein are intended to assist the reader in understanding the principles of the invention and are to be construed as being without limitation to such specifically recited embodiments and examples. Those skilled in the art can make various other specific changes and combinations based on the teachings of the present invention without departing from the spirit of the invention, and these changes and combinations are within the scope of the invention.

Claims (4)

1. A discontinuous field matching method for a traveling wave tube general wave-injection interaction model is characterized by comprising the following steps:
s1, marking the folded waveguide before the high-frequency structure jump of the wave-injection interaction of the traveling wave tube as l1Segment with a structural period length L1(ii) a The folded waveguide after hopping is denoted as2Segment with a structural period length L2(ii) a Using three-dimensional high-frequency simulation software1Segment and l2The segments are respectively represented by L1And L2Scanning and calculating parameters to obtain l1Segment and l2Axial distribution of passive high-frequency field in a structural period corresponding to the segment
Figure FDA0002631327690000011
And
Figure FDA0002631327690000012
and l1Segment and l2Segment-corresponding transmission power p1And p2；
S2, pair
Figure FDA0002631327690000013
And
Figure FDA0002631327690000014
respectively carrying out phase inversion to obtain the axial distribution of the passive high-frequency field with zero initial phase
Figure FDA0002631327690000015
And
Figure FDA0002631327690000016
s3, using Froquini theorem pair
Figure FDA0002631327690000017
Periodic phase extension to obtain the whole l1Axial distribution of passive high-frequency fields of segments
Figure FDA0002631327690000018
And recording the axial distribution of the passive high-frequency field at the jump section
Figure FDA0002631327690000019
The field phase value of (a);
s4, axial distribution of passive high-frequency field at jump section
Figure FDA00026313276900000110
Carrying out phase matching to obtain the axial distribution parameters of the passive high-frequency field with continuous phases, which are axially distributed in the passive high-frequency field at the jump section;
s5, carrying out power and reflection matching on the axial distribution of the passive high-frequency field at the jump section to obtain matched l2The axial distribution parameters of the passive high-frequency field in a structural period corresponding to the segment;
s6, carrying out periodic phase prolongation on the passive high-frequency field axial distribution parameters obtained in the step S5 by utilizing Frouqui' S theorem to obtainThe whole2Axial distribution parameter of passive high-frequency field of segment
Figure FDA00026313276900000111
2. The discontinuous field matching method for the traveling wave tube universal wave interaction model according to claim 1, wherein in the step S2
Figure FDA00026313276900000112
Wherein the content of the first and second substances,
Figure FDA00026313276900000113
is axially distributed by passive high-frequency field
Figure FDA00026313276900000114
The initial phase value of (a) is,
Figure FDA00026313276900000115
is axially distributed by passive high-frequency field
Figure FDA00026313276900000116
The initial phase value of (a).
3. The discontinuous field matching method for the traveling wave tube general beam-wave interaction model according to claim 2, wherein the step S4 is implemented by: subjecting the product obtained in step S2
Figure FDA00026313276900000117
Multiplied by a phase factor
Figure FDA00026313276900000118
To obtain
Figure FDA00026313276900000119
Wherein the content of the first and second substances,
Figure FDA00026313276900000120
is 11Axial distribution of passive high frequency field at the tip
Figure FDA00026313276900000121
The phase value of the axial component of (a).
4. The discontinuous field matching method for the traveling wave tube general beam-wave interaction model according to claim 3, wherein the step S5 is implemented by: the axial distribution parameters of the passive high-frequency field obtained in the step S4
Figure FDA00026313276900000122
Multiplied by a power factor
Figure FDA00026313276900000123
Wherein p is1Is 11The transmission power of the segment; p is a radical of2Is 12The transmission power of the segment;
Figure FDA00026313276900000124
in order to be the reflection coefficient of the light,
Figure FDA00026313276900000125
is composed of
Figure FDA00026313276900000126
Is used to match the reflection coefficient1And l2And power loss caused by reflected waves due to structure jump at the two sections of contact surfaces.
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CN110046370A (en) * 2018-12-17 2019-07-23 上海航天电子有限公司 A method of folded waveguide structure characteristic impedance is solved using numerical field
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