Electromagnetic scattering by homogeneous, isotropic, dielectric-magnetic sphere with topologically insulating surface states

Akhlesh Lakhtakia, Tom G. Mackay

Research output: Contribution to journalArticle

10 Citations (Scopus)

Abstract

The Lorenz-Mie formulation of electromagnetic scattering by a homogeneous, isotropic, dielectric-magnetic sphere was extended to incorporate topologically insulating surface states characterized by a surface admittance ã. Closed-form expressions were derived for the expansion coefficients of the scattered field phasors in terms of those of the incident field phasors. These expansion coefficients were used to obtain analytical expressions for the total scattering, extinction, forward scattering, and backscattering efficiencies of the sphere. Resonances exist for relatively low values of ã, when the sphere is either nondissipative or weakly dissipative. For large values of ã, the scattering characteristics are close to that of a perfect electrically conducting sphere, regardless of whether the sphere is composed of a dissipative or nondissipative material and regardless of whether that material supports plane-wave propagation with positive or negative phase velocity.

Original languageEnglish (US)
Pages (from-to)603-609
Number of pages7
JournalJournal of the Optical Society of America B: Optical Physics
Volume33
Issue number4
DOIs
StatePublished - Apr 1 2016

Fingerprint

electromagnetic scattering
expansion
forward scattering
coefficients
electrical impedance
scattering
phase velocity
wave propagation
backscattering
extinction
plane waves
formulations
conduction

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Atomic and Molecular Physics, and Optics

Cite this

@article{d9620945f3274691a35075309ce93be6,
title = "Electromagnetic scattering by homogeneous, isotropic, dielectric-magnetic sphere with topologically insulating surface states",
abstract = "The Lorenz-Mie formulation of electromagnetic scattering by a homogeneous, isotropic, dielectric-magnetic sphere was extended to incorporate topologically insulating surface states characterized by a surface admittance {\~a}. Closed-form expressions were derived for the expansion coefficients of the scattered field phasors in terms of those of the incident field phasors. These expansion coefficients were used to obtain analytical expressions for the total scattering, extinction, forward scattering, and backscattering efficiencies of the sphere. Resonances exist for relatively low values of {\~a}, when the sphere is either nondissipative or weakly dissipative. For large values of {\~a}, the scattering characteristics are close to that of a perfect electrically conducting sphere, regardless of whether the sphere is composed of a dissipative or nondissipative material and regardless of whether that material supports plane-wave propagation with positive or negative phase velocity.",
author = "Akhlesh Lakhtakia and Mackay, {Tom G.}",
year = "2016",
month = "4",
day = "1",
doi = "10.1364/JOSAB.33.000603",
language = "English (US)",
volume = "33",
pages = "603--609",
journal = "Journal of the Optical Society of America B: Optical Physics",
issn = "0740-3224",
publisher = "The Optical Society",
number = "4",

}

TY - JOUR

T1 - Electromagnetic scattering by homogeneous, isotropic, dielectric-magnetic sphere with topologically insulating surface states

AU - Lakhtakia, Akhlesh

AU - Mackay, Tom G.

PY - 2016/4/1

Y1 - 2016/4/1

N2 - The Lorenz-Mie formulation of electromagnetic scattering by a homogeneous, isotropic, dielectric-magnetic sphere was extended to incorporate topologically insulating surface states characterized by a surface admittance ã. Closed-form expressions were derived for the expansion coefficients of the scattered field phasors in terms of those of the incident field phasors. These expansion coefficients were used to obtain analytical expressions for the total scattering, extinction, forward scattering, and backscattering efficiencies of the sphere. Resonances exist for relatively low values of ã, when the sphere is either nondissipative or weakly dissipative. For large values of ã, the scattering characteristics are close to that of a perfect electrically conducting sphere, regardless of whether the sphere is composed of a dissipative or nondissipative material and regardless of whether that material supports plane-wave propagation with positive or negative phase velocity.

AB - The Lorenz-Mie formulation of electromagnetic scattering by a homogeneous, isotropic, dielectric-magnetic sphere was extended to incorporate topologically insulating surface states characterized by a surface admittance ã. Closed-form expressions were derived for the expansion coefficients of the scattered field phasors in terms of those of the incident field phasors. These expansion coefficients were used to obtain analytical expressions for the total scattering, extinction, forward scattering, and backscattering efficiencies of the sphere. Resonances exist for relatively low values of ã, when the sphere is either nondissipative or weakly dissipative. For large values of ã, the scattering characteristics are close to that of a perfect electrically conducting sphere, regardless of whether the sphere is composed of a dissipative or nondissipative material and regardless of whether that material supports plane-wave propagation with positive or negative phase velocity.

UR - http://www.scopus.com/inward/record.url?scp=84962460163&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84962460163&partnerID=8YFLogxK

U2 - 10.1364/JOSAB.33.000603

DO - 10.1364/JOSAB.33.000603

M3 - Article

AN - SCOPUS:84962460163

VL - 33

SP - 603

EP - 609

JO - Journal of the Optical Society of America B: Optical Physics

JF - Journal of the Optical Society of America B: Optical Physics

SN - 0740-3224

IS - 4

ER -