On the Far Field Patterns for Electromagnetic Scattering in Two Dimensions

We consider the problem of scattering time-harmonic electromagnetic plane waves by a dielectric infinitely long cylinder with core which may be a perfect or an imperfect conductor. The corresponding scattering problems are reduced to mixed boundary value problems for the two-dimensional Helmholtz eq...

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Bibliographic Details
Published in:	Reports on mathematical physics Vol. 89; no. 2; pp. 253 - 265
Main Authors:	Athanasiadis, Christodoulos E., Athanasiadou, Evagelia S., Roupa, Paraskevi
Format:	Journal Article
Language:	English
Published:	Elsevier Ltd 01.04.2022
Subjects:	far field patterns optical theorem reciprocity relation two-dimensional scattering two-dimensional scattering optical theorem far field patterns reciprocity relation
ISSN:	0034-4877, 1879-0674
Online Access:	Get full text
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Summary:	We consider the problem of scattering time-harmonic electromagnetic plane waves by a dielectric infinitely long cylinder with core which may be a perfect or an imperfect conductor. The corresponding scattering problems are reduced to mixed boundary value problems for the two-dimensional Helmholtz equation. For the far field patterns of these problems, we prove a reciprocity principle and a general scattering theorem. The combination of these theorems with Herglotz wave functions leads to the proof of some properties of the far field operator, which are used in the study of inverse scattering problems. Finally, an optical theorem for the above scattering problems is proved.
ISSN:	0034-4877 1879-0674
DOI:	10.1016/S0034-4877(22)00026-X