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<p>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.</p>

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Time-Harmonic Maxwell’s Equations in Periodic Waveguides

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年4月10日

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  • A. Kirsch,
  • B. Schweizer

摘要

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.