Green function for radiation and propagation in helicoidal bianisotropic mediums

Akhlesh Lakhtakia; W. S. Weiglhofer

doi:10.1049/ip-map:19970979

Green function for radiation and propagation in helicoidal bianisotropic mediums

Akhlesh Lakhtakia, W. S. Weiglhofer

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

14 Scopus citations

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.

Original language	English (US)
Pages (from-to)	57-59
Number of pages	3
Journal	IEE Proceedings: Microwaves, Antennas and Propagation
Volume	144
Issue number	1
DOIs	https://doi.org/10.1049/ip-map:19970979
State	Published - Jan 1 1997

All Science Journal Classification (ASJC) codes

Computer Networks and Communications
Electrical and Electronic Engineering

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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.",

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AU - Lakhtakia, Akhlesh

AU - Weiglhofer, W. S.

PY - 1997/1/1

Y1 - 1997/1/1

N2 - 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.

AB - 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.

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JF - IEE Proceedings: Microwaves, Antennas and Propagation

SN - 1350-2417

IS - 1

ER -

Green function for radiation and propagation in helicoidal bianisotropic mediums

Abstract

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