Abstract

Topic. The paper is devoted to the study of synchronization of a gyrotron by an external harmonic signal. A theoretical study of gyrotron synchronization processes by means of a computational experiment based on certain traditional models of microwave electronics does not provide a complete description of the synchronization pattern. Therefore, the goal of the paper is to develop a modified quasi-linear model based on an approximation of the electron susceptibility by rational functions. Methods. The developed model allows for bifurcation analysis of synchronization processes. On its basis, stationary states are determined and their stability analysis is carried out. The results are in good agreement with numerical simulation based on the non-stationary theory of a gyrotron with a fixed Gaussian high-frequency field structure. Results and discussion. Resonance curves and synchronization bounds are built on the plane of parameters “amplitude – frequency of external signal”. The case where the gyrotron is in the hard excitation mode is considered, since the maximum efficiency is usually achieved in the hard excitation mode. In general, the results are in qualitative agreement with the picture described earlier for a simpler quasi-linear model of a oscillator with hard excitation, in the case of a sufficiently strong phase nonlinearity.

Highlights

  • Study of gyrotron synchronization by an external harmonic signal based on a modified quasilinear theory

  • М. Исследование синхронизации в системе двух гиротронов с запаздыванием в канале связи на основе модифицированной квазилинейной модели // Известия вузов

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Summary

Introduction

Поэтому исследование фундаментальных закономерностей синхронизации гиротрона при помощи методов теории колебаний и нелинейной динамики представляет очевидный интерес. В рамках квазилинейной теории можно получить выражение для комплексной электронной восприимчивости в виде ряда по степеням амплитуды. В данной работе на основе модифицированной квазилинейной модели гиротрона, синхронизуемого внешним сигналом, проведено теоретическое исследование сценариев перехода в режим синхронизации. Для моделирования мы используем известные уравнения нестационарной теории гиротрона с фиксированной структурой ВЧ-поля [2, 5,6,7,8,9,10,11].

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