The matrix Riccati equation for scattering from stratified chiral spheres

Author

Jaggard, Dwight L. ; Liu, John C.

Author_Institution

Moore Sch. of Electr. Eng., Pennsylvania Univ., Philadelphia, PA, USA

Volume

47

Issue

7

fYear

1999

fDate

7/1/1999 12:00:00 AM

Firstpage

1201

Lastpage

1207

Abstract

Angular scattering from radially stratified spherical chiral objects is investigated. Based on the principles of invariant embedding, we formulate a matrix Riccati equation that can be used to examine basic scattering properties of spherical chiral structures with radial inhomogeneities in permittivity, permeability, and chirality. High- and low-frequency limits as well as weak reflection and constant impedance cases for this equation are examined. We show that in the limit of large radii of curvature, this formulation yields the planar result

Keywords

Riccati equations; chirality; electromagnetic wave scattering; inhomogeneous media; magnetic permeability; matrix algebra; permittivity; angular scattering; chirality; constant impedance; electromagnetic scattering; high-frequency limit; invariant embedding; low-frequency limits; matrix Riccati equation; permeability; permittivity; radial inhomogeneities; radially stratified spherical chiral objects; stratified chiral spheres; weak reflection; Electromagnetic scattering; Impedance; Maxwell equations; Mie scattering; Nonhomogeneous media; Permeability; Permittivity; Riccati equations; Transmission line matrix methods; Wave functions;

fLanguage

English

Journal_Title

Antennas and Propagation, IEEE Transactions on

Publisher

ieee

ISSN

0018-926X

Type

jour

DOI

10.1109/8.785752

Filename

785752