Mie scattering by an anisotropic object. Part II. Arbitrary-shaped object: differential theory

Journal of the Optical Society of America. A, Optics, Image Science, and Vision
Brian StoutEvgeny Popov

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.

References

Jun 13, 2002·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·A D KiselevT J Sluckin
Jan 17, 2004·Journal of the Optical Society of America. A, Optics, Image Science, and Vision·Evgeny PopovNicolas Bonod
Nov 24, 2005·Journal of the Optical Society of America. A, Optics, Image Science, and Vision·Brian StoutEvgeny Popov
Apr 28, 2006·Journal of the Optical Society of America. A, Optics, Image Science, and Vision·Brian StoutEvgeny Popov

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Citations

Dec 18, 2010·Optics Express·Xiaofeng FanBoris Luk'yanchuk
Apr 28, 2006·Journal of the Optical Society of America. A, Optics, Image Science, and Vision·Brian StoutEvgeny Popov
Feb 5, 2011·Journal of the Optical Society of America. A, Optics, Image Science, and Vision·Zheng-Jun LiHai-Ying Li
Apr 19, 2013·Journal of the Optical Society of America. A, Optics, Image Science, and Vision·Philippe Boyer
Mar 16, 2007·Journal of the Optical Society of America. A, Optics, Image Science, and Vision·Brian StoutEvgeny Popov
Dec 29, 2020·Journal of the Optical Society of America. A, Optics, Image Science, and Vision·Ekaterina I Semernya, Sergei P Skobelev

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