Simulation on the interaction between particles and fields for gyroklystron amplifier

The purpose of this paper is to formulate and simulate the interaction between particles and fields for gyroklystron amplifier rapidly and effectively.

From Maxwell's equations, transient electromagnetic field equations and particle motion equations, as the subject of a self‐consistent field theory, are obtained by semi‐analytical and semi‐numerical method. A numerical calculation model on the interaction between particles and fields is proposed and illustrated in detail. Based on above‐mentioned field theory, calculation model and the Runge‐Kutta method, a program to simulate the interaction between particles and fields is designed and its software implementation is achieved using Fortran language. To testify the correctness of the calculation model, a millimeter wave gyroklystron amplifier is simulated by the program, and some numerical results are presented and analyzed. Meanwhile, a contrast among the simulated frequency characteristic, the FDTD‐PIC results and the experiments is made. The computing resources needed by the program are compared with that needed by the FDTD‐PIC method.

The calculation results show that the model and the program take less CPU time and fewer computing resources than FDTD‐PIC simulation. Moreover, simulated results are in accord with the FDTD‐PIC results and the experiments.

A calculation model on the interaction between particles and fields is proposed and achieved in this paper. A program is designed and proved to be a fast and effective calculation tool for solving the simulation of the interaction. In addition, a detailed speed spread model of particles is studied. The calculation model considering speed spread, the program and the simulated results constitute the main contribution of this paper.