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

Christodoulos E. Athanasiadis and Paraskevi Roupa ()
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Christodoulos E. Athanasiadis: Department of Mathematics, National and Kapodistrian University of Athens, Panepistimiopolis, 15784 Athens, Greece
Paraskevi Roupa: Department of Informatics and Telecommunications, National and Kapodistrian University of Athens, Panepistimiopolis, 15784 Athens, Greece

Mathematics, 2023, vol. 11, issue 19, 1-17

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.

Keywords: two-dimensional electromagnetic scattering; piecewise obstacle; line source waves; scattering relations (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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