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The Mie Scattering at an Inhomogeneous and Arbitrary Shaped Inclusion
Author(s) -
Rennert P.
Publication year - 1990
Publication title -
annalen der physik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.009
H-Index - 68
eISSN - 1521-3889
pISSN - 0003-3804
DOI - 10.1002/andp.19905020104
Subject(s) - spherical harmonics , scattering , physics , vector spherical harmonics , tensor operator , mie scattering , scalar (mathematics) , perturbation (astronomy) , spin weighted spherical harmonics , operator (biology) , classical mechanics , codes for electromagnetic scattering by spheres , electromagnetic field , harmonics , optics , quantum mechanics , light scattering , geometry , mathematics , biochemistry , chemistry , repressor , voltage , transcription factor , gene
We consider the scattering of an electromagnetic wave at an inhomogeneous and arbitrary shaped inclusion describing the inclusion as a non‐spherical perturbation. Thus, inhomogenety and arbitrarity in the shape are treated on the same footing. The fields are developed into vector spherical harmonics. The radial parts must be calculated from a coupled set of equations using the methods known from the scattering of a scalar field at a non‐spherical potential. Using an operator notation the lengthly expressions can be avoided, which contain the Clebsch‐Gordan coefficients.