Excitation Equations for Irregular Waveguides Taking into Account the Finite Wall Conductivity and Their Application for Ultrahigh-Power Microwave Problems. Part 1

IF 0.4 4区 计算机科学 Q4 ENGINEERING, ELECTRICAL & ELECTRONIC
V. F. Kravchenko, A. A. Kurayev, V. V. Matveyenko
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引用次数: 0

Abstract

The article formulates equations for longitudinally irregular waveguide excitation by three-dimensionally phased electron flows taking into account the finite wall conductivity. A.G. Sveshnikov’s method based on using non-orthogonal coordinates for Maxwell’s equations to formulate the excitation equations, which makes it possible to transpose the irregular boundary of the electrodynamic structure to a regular one. Then, Galerkin’s projection method is used for the transformed regular region with a priori known complete system of vector basis functions for this region. A special approach allows one to solve the difficulty arising due to the boundary conditions for the vector basis functions and the solution on the waveguide surface in the case of finite conductivity. As a result, the original three-dimensional boundary value problem is derived to a one-dimensional (two-point) boundary value problem for the amplitudes of normal coupled waves of the electrodynamic structure. This problem formulates an ordinary differential equation (ODE) system with boundary conditions of the third kind on the first and final sections of the waveguide. The excitation equations, together with the equations of electron motion, form a self-consistent mathematical model for calculating and optimizing high-power electronic devices using irregular waveguides: relativistic traveling wave tubes (TWTs), backward wave oscillators (BWOs), klynotrons, gyro-TWTs, gyro-BWOs, and gyrotons.

考虑到有限壁面传导性的不规则波导激励方程及其在超高功率微波问题中的应用。第一部分
摘要 文章在考虑到有限壁面电导率的情况下,计算了三维相位电子流对纵向不规则波导的激励方程。A.G. Sveshnikov 的方法基于使用麦克斯韦方程的非正交坐标来建立激励方程,这使得将电动结构的不规则边界转置为规则边界成为可能。然后,使用伽勒金投影法对转换后的规则区域进行处理,并为该区域提供先验已知的完整矢量基函数系统。在有限传导的情况下,采用一种特殊的方法可以解决由于矢量基函数的边界条件和波导表面的求解而产生的困难。因此,原来的三维边界值问题被引申为电动结构法向耦合波振幅的一维(两点)边界值问题。这个问题形成了一个常微分方程(ODE)系统,在波导的第一段和最后一段具有第三种边界条件。激励方程与电子运动方程一起构成了一个自洽的数学模型,用于计算和优化使用不规则波导的大功率电子设备:相对论行波管(TWT)、后向波振荡器(BWO)、klynotrons、gyro-TWT、gyro-BWO 和 gyrotons。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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来源期刊
CiteScore
1.00
自引率
20.00%
发文量
170
审稿时长
10.5 months
期刊介绍: Journal of Communications Technology and Electronics is a journal that publishes articles on a broad spectrum of theoretical, fundamental, and applied issues of radio engineering, communication, and electron physics. It publishes original articles from the leading scientific and research centers. The journal covers all essential branches of electromagnetics, wave propagation theory, signal processing, transmission lines, telecommunications, physics of semiconductors, and physical processes in electron devices, as well as applications in biology, medicine, microelectronics, nanoelectronics, electron and ion emission, etc.
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