Vector spherical wavefunctions for orthorhombic dielectric-magnetic material with gyrotropic-like magnetoelectric properties

Akhlesh Lakhtakia, Tom G. Mackay

Research output: Contribution to journalArticle

11 Citations (Scopus)

Abstract

Vector spherical wavefunctions were derived in closed-form to represent time-harmonic electromagnetic fields in an orthorhombic dielectric-magnetic material with gyrotropic-like magnetoelectric properties. These wavefunctions were used to formulate the T matrix for scattering by a three-dimensional object composed of the chosen material. Furthermore, a closed-form, coordinate-free expression of the dyadic Green function for the chosen material was derived. Expressions ascertained for the singularity behavior will be useful for formulating volume integral equations for scattering inside the chosen material. A bilinear expansion of the dyadic Green function was obtained in terms of the derived vector spherical wavefunctions.

Original languageEnglish (US)
Pages (from-to)201-213
Number of pages13
JournalJournal of Optics (India)
Volume41
Issue number4
DOIs
StatePublished - Dec 1 2012

Fingerprint

dyadics
magnetic materials
Green's functions
scattering
integral equations
electromagnetic fields
harmonics
expansion
matrices

All Science Journal Classification (ASJC) codes

  • Atomic and Molecular Physics, and Optics

Cite this

@article{580cdfac42b54970be9d5924af0560d7,
title = "Vector spherical wavefunctions for orthorhombic dielectric-magnetic material with gyrotropic-like magnetoelectric properties",
abstract = "Vector spherical wavefunctions were derived in closed-form to represent time-harmonic electromagnetic fields in an orthorhombic dielectric-magnetic material with gyrotropic-like magnetoelectric properties. These wavefunctions were used to formulate the T matrix for scattering by a three-dimensional object composed of the chosen material. Furthermore, a closed-form, coordinate-free expression of the dyadic Green function for the chosen material was derived. Expressions ascertained for the singularity behavior will be useful for formulating volume integral equations for scattering inside the chosen material. A bilinear expansion of the dyadic Green function was obtained in terms of the derived vector spherical wavefunctions.",
author = "Akhlesh Lakhtakia and Mackay, {Tom G.}",
year = "2012",
month = "12",
day = "1",
doi = "10.1007/s12596-012-0084-y",
language = "English (US)",
volume = "41",
pages = "201--213",
journal = "Journal of Optics (India)",
issn = "0970-0374",
publisher = "Optical Society of India",
number = "4",

}

Vector spherical wavefunctions for orthorhombic dielectric-magnetic material with gyrotropic-like magnetoelectric properties. / Lakhtakia, Akhlesh; Mackay, Tom G.

In: Journal of Optics (India), Vol. 41, No. 4, 01.12.2012, p. 201-213.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Vector spherical wavefunctions for orthorhombic dielectric-magnetic material with gyrotropic-like magnetoelectric properties

AU - Lakhtakia, Akhlesh

AU - Mackay, Tom G.

PY - 2012/12/1

Y1 - 2012/12/1

N2 - Vector spherical wavefunctions were derived in closed-form to represent time-harmonic electromagnetic fields in an orthorhombic dielectric-magnetic material with gyrotropic-like magnetoelectric properties. These wavefunctions were used to formulate the T matrix for scattering by a three-dimensional object composed of the chosen material. Furthermore, a closed-form, coordinate-free expression of the dyadic Green function for the chosen material was derived. Expressions ascertained for the singularity behavior will be useful for formulating volume integral equations for scattering inside the chosen material. A bilinear expansion of the dyadic Green function was obtained in terms of the derived vector spherical wavefunctions.

AB - Vector spherical wavefunctions were derived in closed-form to represent time-harmonic electromagnetic fields in an orthorhombic dielectric-magnetic material with gyrotropic-like magnetoelectric properties. These wavefunctions were used to formulate the T matrix for scattering by a three-dimensional object composed of the chosen material. Furthermore, a closed-form, coordinate-free expression of the dyadic Green function for the chosen material was derived. Expressions ascertained for the singularity behavior will be useful for formulating volume integral equations for scattering inside the chosen material. A bilinear expansion of the dyadic Green function was obtained in terms of the derived vector spherical wavefunctions.

UR - http://www.scopus.com/inward/record.url?scp=84865711567&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84865711567&partnerID=8YFLogxK

U2 - 10.1007/s12596-012-0084-y

DO - 10.1007/s12596-012-0084-y

M3 - Article

VL - 41

SP - 201

EP - 213

JO - Journal of Optics (India)

JF - Journal of Optics (India)

SN - 0970-0374

IS - 4

ER -