周期波导中的时谐麦克斯韦方程组

IF 2.6 1区数学 Q1 MATHEMATICS, APPLIED

Archive for Rational Mechanics and Analysis Pub Date : 2025-04-10 DOI:10.1007/s00205-025-02099-8

A. Kirsch, B. Schweizer

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引用次数: 0

摘要

研究了封闭波导中具有周期系数的麦克斯韦方程组。用泛函解析的方法来表述和求解辐射问题。进一步，我们刻画了齐次问题的所有有界解的集合。讨论了介质紧摄动的散射问题和极限吸收原理。

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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Time-Harmonic Maxwell’s Equations in Periodic Waveguides

We study Maxwell’s equations with periodic coefficients in a closed waveguide. A functional analytic approach is used to formulate and to solve the radiation problem. Furthermore, we characterize the set of all bounded solutions to the homogeneous problem. The case of a compact perturbation of the medium is included, and the scattering problem and the limiting absorption principle are discussed.

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来源期刊

Archive for Rational Mechanics and Analysis 物理-力学

CiteScore

5.10

自引率

8.00%

发文量

审稿时长

4-8 weeks

期刊介绍： The Archive for Rational Mechanics and Analysis nourishes the discipline of mechanics as a deductive, mathematical science in the classical tradition and promotes analysis, particularly in the context of application. Its purpose is to give rapid and full publication to research of exceptional moment, depth and permanence.