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Scattering relations for point‐source excitation in chiral media
Author(s) -
Athanasiadis Christodoulos,
Berketis Nikolaos
Publication year - 2005
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.662
Subject(s) - scattering , reciprocity (cultural anthropology) , bounded function , plane wave , mathematics , scattering theory , physics , scattering amplitude , point source , point (geometry) , field (mathematics) , plane (geometry) , mathematical analysis , classical mechanics , quantum mechanics , geometry , pure mathematics , psychology , social psychology
A spherical electromagnetic wave propagating in a chiral medium is scattered by a bounded chiral obstacle which can have any of the usual properties. Reciprocity and general scattering theorems, relating the scattered fields due to scattering of waves from a point source put in any two different locations are established. Applying the general scattering theorem for appropriate locations and polarizations of the point source we prove an associated forward scattering theorem. Mixed scattering relations, relating the scattered fields due to a plane wave and the far‐field patterns due to a spherical wave, are also established. Copyright © 2005 John Wiley & Sons, Ltd.