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Electromagnetic scattering by a perfectly conducting obstacle in a homogeneous chiral environment: solvability and low‐frequency theory
Author(s) -
Athanasiadis C.,
Costakis G.,
Stratis I. G.
Publication year - 2002
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.321
Subject(s) - mathematics , scattering , obstacle , isotropy , mathematical analysis , bounded function , boundary value problem , integral equation , homogeneous , electromagnetic field , plane wave , electric field integral equation , harmonic , plane (geometry) , field (mathematics) , physics , geometry , pure mathematics , quantum mechanics , combinatorics , political science , law
The scattering of plane time‐harmonic electromagnetic waves propagating in a homogeneous isotropic chiral environment by a bounded perfectly conducting obstacle is studied. The unique solvability of the arising exterior boundary value problem is established by a boundary integral method. Integral representations of the total exterior field, as well as of the left and right electric far‐field patterns are derived. A low‐frequency theory for the approximation of the solution to the above problem, and the derivation of the far‐field patterns is also presented. Copyright © 2002 John Wiley & Sons, Ltd.

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