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

JOSA A, Vol. 23, Issue 5, pp. 1124-1134 (2006)

http://dx.doi.org/10.1364/JOSAA.23.001124

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### 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

**OCIS Codes**

(000.3860) General : Mathematical methods in physics

(000.4430) General : Numerical approximation and analysis

(050.1940) Diffraction and gratings : Diffraction

(290.5850) Scattering : Scattering, particles

**ToC Category:**

Scattering

**History**

Original Manuscript: July 15, 2005

Manuscript Accepted: October 21, 2005

**Citation**

Brian Stout, Michel Nevière, and Evgeny Popov, "Mie scattering by an anisotropic object. Part II. Arbitrary-shaped object: differential theory," J. Opt. Soc. Am. A **23**, 1124-1134 (2006)

http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-23-5-1124

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### References

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