Scattering of beltrami fields by anisotropic impedance spheres

Balasubramaniam Shanker; Akhlesh Lakhtakia

doi:10.1080/02726349208908312

Scattering of beltrami fields by anisotropic impedance spheres

Balasubramaniam Shanker, Akhlesh Lakhtakia

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

Abstract

Time-harmonic electromagnetic fields in a homogeneous biisotropic medium are easily described in terms of Beltrami fields. In this paper, the Mie solution for scattering by an anisotropic impedance sphere immersed in a homogeneous biisotropic medium has been derived, and the effect of impedance-matching conditions examined. The pertinent Rayleigh solution for electrically small spheres has been used to obtain their four polarizabilities, which have been then used to get the Maxwell-Garnett estimates of the effective properties of a dilute random composite formed by immersing electrically small spheres in a homogenous biisotropic host medium.

Original language	English (US)
Pages (from-to)	217-229
Number of pages	13
Journal	Electromagnetics
Volume	12
Issue number	3-4
DOIs	https://doi.org/10.1080/02726349208908312
State	Published - Jan 1 1992

All Science Journal Classification (ASJC) codes

Electronic, Optical and Magnetic Materials
Radiation
Electrical and Electronic Engineering

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N2 - Time-harmonic electromagnetic fields in a homogeneous biisotropic medium are easily described in terms of Beltrami fields. In this paper, the Mie solution for scattering by an anisotropic impedance sphere immersed in a homogeneous biisotropic medium has been derived, and the effect of impedance-matching conditions examined. The pertinent Rayleigh solution for electrically small spheres has been used to obtain their four polarizabilities, which have been then used to get the Maxwell-Garnett estimates of the effective properties of a dilute random composite formed by immersing electrically small spheres in a homogenous biisotropic host medium.

AB - Time-harmonic electromagnetic fields in a homogeneous biisotropic medium are easily described in terms of Beltrami fields. In this paper, the Mie solution for scattering by an anisotropic impedance sphere immersed in a homogeneous biisotropic medium has been derived, and the effect of impedance-matching conditions examined. The pertinent Rayleigh solution for electrically small spheres has been used to obtain their four polarizabilities, which have been then used to get the Maxwell-Garnett estimates of the effective properties of a dilute random composite formed by immersing electrically small spheres in a homogenous biisotropic host medium.

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