Self-consistent nonlinear numerical simulation of millimeter wave gyro-klystron amplifiers

Dian Zhang; Chengxiang An; Jun Zhang; Jiande Zhang; Huihuang Zhong

doi:10.11884/HPLPB202133.210129

Journals >High Power Laser and Particle Beams >Volume 33 >Issue 9 >Page 093002 > Article

High Power Laser and Particle Beams
Vol. 33, Issue 9, 093002 (2021)

Self-consistent nonlinear numerical simulation of millimeter wave gyro-klystron amplifiers

Dian Zhang, Chengxiang An, Jun Zhang, Jiande Zhang, and Huihuang Zhong

Author Affiliations

High Power Microwave Technology Laboratory, National University of Defense Technology, Changsha 410073, China

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DOI: 10.11884/HPLPB202133.210129 Cite this Article

Dian Zhang, Chengxiang An, Jun Zhang, Jiande Zhang, Huihuang Zhong. Self-consistent nonlinear numerical simulation of millimeter wave gyro-klystron amplifiers[J]. High Power Laser and Particle Beams, 2021, 33(9): 093002 Copy Citation Text

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Abstract

To realize quick design of the gyro-klystron amplifiers, a kind of numerical simulation method based on the single mode self-consistent nonlinear theory of gyrotrons was investigated. The single mode theory can’t be used to match the disrupt boundary conditions of the input and the middle cavities of the gyro-klystrons, thus the input and the middle cavities can only be processed through single mode theory based on given field distributions. As for the output cavities with smooth boundaries at the power output ends, the single mode nonlinear simulation could be self-consistent. A millimeter wave two cavity gyro-klystron amplifier with reported detailed parameters was simulated using the developed single mode theory. The effectiveness of the numerical simulation was verified by comparing the simulation results with those obtained in a commercial particle in cell (PIC) simulation tool.

Keywords

gyro-klystron amplifier millimeter wave numerical analysis particle in cell simulation self-consistent nonlinear theory

$ \frac{{{\rm{d}}\bar P}}{{{\rm{d}}\bar {\textit{z}}}} = - {\rm{j}}\Bigg(\frac{\gamma }{{{{\bar u}_{{\rm{z0}}}}}}\Bigg)\Bigg(\frac{{\bar \omega }}{s} - \frac{{{{\bar {\mathit{\Omega}} }_0}}}{\gamma }\Bigg)\bar P - \frac{1}{{{2^{{^s}}}(s - 1)!}}\frac{\gamma }{{{{\bar u}_{{\rm{z0}}}}}}\frac{{{\eta _0}\chi _{{\rm{mn}}}^2{C_{{\rm{mn}}}}}}{{{{\rm{c}}^2}\bar r_{\rm{w}}^2{{\bar {\mathit{\Omega}} }_0}}}{J_{{\rm{m - s}}}}\Bigg(\frac{{{\chi _{{\rm{mn}}}}}}{{{{\bar r}_{\rm{w}}}}}{\bar R_0}\Bigg)\bar f{({\bar P^{s - 1}})^*}$

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$ \Bigg[\frac{{{{\rm{d}}^2}}}{{{\rm{d}}{{\bar {\textit{z}}}^2}}} + \Bigg({\bar \omega ^2} - \frac{{\chi _{{\rm{mn}}}^2}}{{\bar r_{\rm{w}}^2}}\Bigg)\Bigg]\bar f = \frac{{ - {\rm{j}}{\mu _0}\bar \omega {\rm{c}}}}{{{2^{{{^{s-1}}}}}(s - 1)!}}\frac{{{I_0}}}{{N{{\bar u}_{{\rm{z0}}}}}}{\Bigg(\frac{{{\chi _{{\rm{mn}}}}}}{{{{\bar r}_{\rm{w}}}{{\bar {\mathit{\Omega}} }_0}}}\Bigg)^{s - 1}}\frac{{{\chi _{{\rm{mn}}}}{C_{{\rm{mn}}}}}}{{{{\bar r}_{\rm{w}}}}}{J_{{\rm{m - s}}}}\Bigg(\frac{{{\chi _{{\rm{mn}}}}}}{{{{\bar r}_{\rm{w}}}}}{\bar R_0}\Bigg)\sum {{{\bar P}^s}} $

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