## Scattering by an infinite homogenous anisotropic elliptic cylinder in terms of Mathieu functions and Fourier series

JOSA A, Vol. 25, Issue 12, pp. 2925-2931 (2008)

http://dx.doi.org/10.1364/JOSAA.25.002925

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### Abstract

An exact solution to the two-dimensional scattering properties of an anisotropic elliptic cylinder for transverse electric polarization is presented. The internal field in an anisotropic elliptic cylinder is expressed as integral representations of Mathieu functions and Fourier series. The coefficients of the series expansion are obtained by imposing boundary conditions on the anisotropic–free-space interface. A matrix is developed to solve the nonorthogonality properties of Mathieu functions at the interface between two different media. Numerical results are given for the bistatic radar cross section and the amplitude of the total magnetic field along the *x* and *y* axes. The result is in agreement with that available as expected when an elliptic cylinder degenerates to a circular one.

© 2008 Optical Society of America

**OCIS Codes**

(290.5825) Scattering : Scattering theory

(290.5855) Scattering : Scattering, polarization

**ToC Category:**

Scattering

**History**

Original Manuscript: September 2, 2008

Manuscript Accepted: September 18, 2008

Published: November 5, 2008

**Citation**

Shi-Chun Mao and Zhen-Sen Wu, "Scattering by an infinite homogenous anisotropic elliptic cylinder in terms of Mathieu functions and Fourier series," J. Opt. Soc. Am. A **25**, 2925-2931 (2008)

http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-25-12-2925

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