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Mathematical Analysis of Deterministic and Stochastic Problems in Complex Media Electromagnetics$
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G. F. Roach, I. G. Stratis, and A. N. Yannacopoulos

Print publication date: 2012

Print ISBN-13: 9780691142173

Published to University Press Scholarship Online: October 2017

DOI: 10.23943/princeton/9780691142173.001.0001

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date: 13 December 2017

Scattering Problems: Beltrami Fields and Solvability

Scattering Problems: Beltrami Fields and Solvability

Chapter:
(p.83) Chapter Five Scattering Problems: Beltrami Fields and Solvability
Source:
Mathematical Analysis of Deterministic and Stochastic Problems in Complex Media Electromagnetics
Author(s):

G. F. Roach

I. G. Stratis

A. N. Yannacopoulos

Publisher:
Princeton University Press
DOI:10.23943/princeton/9780691142173.003.0005

This chapter deals with the solvability of time-harmonic electromagnetic wave scattering by an obstacle: either the obstacle or the environment in which it is embedded, or both, is (are) occupied by a chiral material. It assumes that the scatterer and its surrounding space are homogeneous: thus allowing the use of the boundary integral equation methods for the study of the considered problems. This chapter considers two kinds of problems: first, the scattering of plane electromagnetic waves propagating in chiral space by a perfectly conducting obstacle, and second, the scattering of plane electromagnetic waves by a penetrable obstacle; either the scatterer or the surrounding space, or both, may be filled with a chiral material.

Keywords:   scattering problems, Beltrami fields, solvability, time-harmonic electromagnetic wave, chiral material, electromagnetic wave scattering, boundary integral equation, plane electromagnetic waves, perfectly conducting obstacle, penetrable obstacle

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