Green function for radiation and propagation in helicoidal bianisotropic mediums

Author

Lakhtakia, A. ; Weiglhofer, W.S.

Author_Institution

Dept. of Eng. Sci. & Mech., Pennsylvania State Univ., University Park, PA, USA

Volume

144

Issue

1

fYear

1997

fDate

2/1/1997 12:00:00 AM

Firstpage

57

Lastpage

59

Abstract

Radiation by prescribed sources in a helicoidal bianisotropic medium (HBM) is investigated. The Oseen transformation and spatial Fourier transforms are used to obtain an inhomogeneous, first-order, matrix differential equation with nonconstant coefficients. As these coefficients are analytic functions of z and can be expanded as polynomials in that variable, the solution of an auxiliary homogeneous differential equation is explicitly and simply obtained. On using this auxiliary equation´s solution, the radiated fields are determined and an appropriate Green function is formulated as a 4×4 matrix. Novel results apply to thin-film HBMs as well as to chiral liquid crystals

Keywords

Fourier transforms; Green´s function methods; chirality; electromagnetic fields; electromagnetic wave propagation; matrix algebra; thin films; Green function; Oseen transformation; analytic functions; auxiliary homogeneous differential equation; chiral liquid crystals; first-order matrix differential equation; helicoidal bianisotropic mediums; inhomogeneous matrix differential equation; nonconstant coefficients; polynomials; propagation; radiated fields; radiation; spatial Fourier transforms; thin-film HBM;

fLanguage

English

Journal_Title

Microwaves, Antennas and Propagation, IEE Proceedings

Publisher

iet

ISSN

1350-2417

Type

jour

DOI

10.1049/ip-map:19970979

Filename

587067