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Two-Dimensional Scattering of Line Source Electromagnetic Waves by a Layered Obstacle

Author

Listed:
  • Christodoulos E. Athanasiadis

    (Department of Mathematics, National and Kapodistrian University of Athens, Panepistimiopolis, 15784 Athens, Greece
    These authors contributed equally to this work.)

  • Paraskevi Roupa

    (Department of Informatics and Telecommunications, National and Kapodistrian University of Athens, Panepistimiopolis, 15784 Athens, Greece
    These authors contributed equally to this work.)

Abstract

We consider the scattering problem of line source electromagnetic waves using a multi-layered obstacle with a core, which may be a perfect conductor, a dielectric, or has an impedance surface. We formulate this problem in two dimensions and we prove some useful scattering relations. In particular, we state and prove a reciprocity principle and a general scattering theorem for line source waves for any possible positions of the source. These theorems can be used to approximate the far-field pattern in the low-frequency theory. Moreover, an optical theorem is recovered as a corollary of the general scattering theorem. Finally, we obtain a mixed reciprocity relation which can be used in proving the uniqueness results of the inverse scattering problems.

Suggested Citation

  • Christodoulos E. Athanasiadis & Paraskevi Roupa, 2023. "Two-Dimensional Scattering of Line Source Electromagnetic Waves by a Layered Obstacle," Mathematics, MDPI, vol. 11(19), pages 1-17, September.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:19:p:4119-:d:1250589
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    References listed on IDEAS

    as
    1. Yuri A. Eremin & Thomas Wriedt, 2021. "Generalization of the Optical Theorem to an Arbitrary Multipole Excitation of a Particle near a Transparent Substrate," Mathematics, MDPI, vol. 9(24), pages 1-12, December.
    2. Dimitrios S. Lazaridis & Nikolaos L. Tsitsas, 2023. "Detecting Line Sources inside Cylinders by Analytical Algorithms," Mathematics, MDPI, vol. 11(13), pages 1-14, June.
    3. Jun Guo & Guozheng Yan & Mingjian Cai, 2015. "Multilayered Scattering Problem with Generalized Impedance Boundary Condition on the Core," Journal of Applied Mathematics, Hindawi, vol. 2015, pages 1-13, September.
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