在均质和非均质公式中采用 FDTD 方法数值求解麦克斯韦方程的特点

IF 1.1 4区物理与天体物理 Q4 PHYSICS, APPLIED

Technical Physics Pub Date : 2024-07-12 DOI:10.1134/s1063784224700543

P. A. Makarov, V. A. Ustyugov

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引用次数: 0

摘要

摘要我们研究了麦克斯韦方程组数值 FDTD 解法的特点，该解法被表述为相应的均相和非均相方程组的 Cauchy 问题。研究表明，在场源受时间限制的情况下，非均质系统的 Cauchy 问题等同于均质系统的相应 Cauchy 问题。提出了估计所得解的正确性的标准。分析了不同形式电磁场初始配置和设置脉冲的均相和不均相 Cauchy 问题数值解的特点。提出了正确求解的必要条件和充分条件。

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Features of Numerical Solution of the Maxwell Equations by the FDTD Method in the Homogeneous and Inhomogeneous Formulations

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Features of Numerical Solution of the Maxwell Equations by the FDTD Method in the Homogeneous and Inhomogeneous Formulations

Abstract

We investigate the features of the numerical FDTD solution of the Maxwell equations, formulated as the Cauchy problems for the corresponding homogeneous and inhomogeneous systems of equations. It is shown that for the case of time-limited field sources, the Cauchy problem for an inhomogeneous system is equivalent to the corresponding Cauchy problem for a homogeneous system. The criterion for estimating the correctness of the obtained solution is formulated. The features of the numerical solution of the homogeneous and inhomogeneous Cauchy problems for different forms of initial configurations of electromagnetic fields and setting pulses are analyzed. The necessary and sufficient conditions for correctness of the obtained solutions are formulated.

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来源期刊

Technical Physics 物理-物理：应用

CiteScore

1.30

自引率

14.30%

发文量

139

审稿时长

3-6 weeks

期刊介绍： Technical Physics is a journal that contains practical information on all aspects of applied physics, especially instrumentation and measurement techniques. Particular emphasis is put on plasma physics and related fields such as studies of charged particles in electromagnetic fields, synchrotron radiation, electron and ion beams, gas lasers and discharges. Other journal topics are the properties of condensed matter, including semiconductors, superconductors, gases, liquids, and different materials.