Abstract

The differential theory of diffraction by an arbitrary-shaped body made of arbitrary anisotropic material is developed. The electromagnetic field is expanded on the basis of vector spherical harmonics, and the Maxwell equations in spherical coordinates are reduced to a first-order differential set. When discontinuities of permittivity exist, we apply the fast numerical factorization to find the link between the electric field vector and the vector of electric induction, developed in a truncated basis. The diffraction problem is reduced to a boundary-value problem by using a shooting method combined with the S-matrix propagation algorithm, formulated for the field components instead of the amplitudes.

© 2006 Optical Society of America

Mie scattering by an anisotropic object. Part I. Homogeneous sphere

Brian Stout, Michel Nevière, and Evgeny Popov
J. Opt. Soc. Am. A 23(5) 1111-1123 (2006)

Light diffraction by a three-dimensional object: differential theory

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Differential theory for anisotropic cylindrical objects with an arbitrary cross section

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Diffraction theory: application of the fast Fourier factorization to cylindrical devices with arbitrary cross section lighted in conical mounting

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Diffraction theory of an anisotropic circular cylinder

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