Scattering by a three-dimensional object composed of the simplest Lorentz-nonreciprocal medium

Hamad M. Alkhoori, Akhlesh Lakhtakia, James K. Breakall, Craig F. Bohren

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

The simplest Lorentz-nonreciprocal medium has the constitutive relations (D ε0E − Γ × H and B μ0H Γ × E). Scattering by a three-dimensional object composed of this medium was investigated using the extended boundary condition method. Scattering by this object in free space must be attributed to nonzero Γ jΓj. The differential scattering efficiency is immune to the transformation of the incident toroidal electric field phasor into a poloidal electric field phasor, or vice versa, and a consequence of this source invariance is the polarization-state invariance of the differential scattering efficiency when the irradiating field is a plane wave. Both the total scattering and forward-scattering efficiencies of an ellipsoid composed of the simplest Lorentz-nonreciprocal medium are maximum when the plane wave is incident in a direction coparallel (but not antiparallel) to Γ, and the backscattering efficiency is minimum when Γ is parallel to the incidence direction. The total scattering and forward-scattering efficiencies are maximum when the incidence direction is parallel to the largest semi-axis of the ellipsoid if the incidence direction is coparallel (but not antiparallel) to Γ. Lorentz nonreciprocity in an object is thus intimately connected to the shape of that object in affecting the scattered field.

Original languageEnglish (US)
Pages (from-to)2026-2034
Number of pages9
JournalJournal of the Optical Society of America A: Optics and Image Science, and Vision
Volume35
Issue number12
DOIs
StatePublished - Dec 2018

Fingerprint

Scattering
scattering
Forward scattering
incidence
forward scattering
ellipsoids
Invariance
invariance
plane waves
Electric fields
electric fields
Backscattering
backscattering
Boundary conditions
Polarization
boundary conditions
Direction compound
polarization

All Science Journal Classification (ASJC) codes

  • Electronic, Optical and Magnetic Materials
  • Atomic and Molecular Physics, and Optics
  • Computer Vision and Pattern Recognition

Cite this

@article{6b725e18f18a47eab53f831dca4eccb2,
title = "Scattering by a three-dimensional object composed of the simplest Lorentz-nonreciprocal medium",
abstract = "The simplest Lorentz-nonreciprocal medium has the constitutive relations (D ε0E − Γ × H and B μ0H Γ × E). Scattering by a three-dimensional object composed of this medium was investigated using the extended boundary condition method. Scattering by this object in free space must be attributed to nonzero Γ jΓj. The differential scattering efficiency is immune to the transformation of the incident toroidal electric field phasor into a poloidal electric field phasor, or vice versa, and a consequence of this source invariance is the polarization-state invariance of the differential scattering efficiency when the irradiating field is a plane wave. Both the total scattering and forward-scattering efficiencies of an ellipsoid composed of the simplest Lorentz-nonreciprocal medium are maximum when the plane wave is incident in a direction coparallel (but not antiparallel) to Γ, and the backscattering efficiency is minimum when Γ is parallel to the incidence direction. The total scattering and forward-scattering efficiencies are maximum when the incidence direction is parallel to the largest semi-axis of the ellipsoid if the incidence direction is coparallel (but not antiparallel) to Γ. Lorentz nonreciprocity in an object is thus intimately connected to the shape of that object in affecting the scattered field.",
author = "Alkhoori, {Hamad M.} and Akhlesh Lakhtakia and Breakall, {James K.} and Bohren, {Craig F.}",
year = "2018",
month = "12",
doi = "10.1364/JOSAA.35.002026",
language = "English (US)",
volume = "35",
pages = "2026--2034",
journal = "Journal of the Optical Society of America A: Optics and Image Science, and Vision",
issn = "1084-7529",
number = "12",

}

TY - JOUR

T1 - Scattering by a three-dimensional object composed of the simplest Lorentz-nonreciprocal medium

AU - Alkhoori, Hamad M.

AU - Lakhtakia, Akhlesh

AU - Breakall, James K.

AU - Bohren, Craig F.

PY - 2018/12

Y1 - 2018/12

N2 - The simplest Lorentz-nonreciprocal medium has the constitutive relations (D ε0E − Γ × H and B μ0H Γ × E). Scattering by a three-dimensional object composed of this medium was investigated using the extended boundary condition method. Scattering by this object in free space must be attributed to nonzero Γ jΓj. The differential scattering efficiency is immune to the transformation of the incident toroidal electric field phasor into a poloidal electric field phasor, or vice versa, and a consequence of this source invariance is the polarization-state invariance of the differential scattering efficiency when the irradiating field is a plane wave. Both the total scattering and forward-scattering efficiencies of an ellipsoid composed of the simplest Lorentz-nonreciprocal medium are maximum when the plane wave is incident in a direction coparallel (but not antiparallel) to Γ, and the backscattering efficiency is minimum when Γ is parallel to the incidence direction. The total scattering and forward-scattering efficiencies are maximum when the incidence direction is parallel to the largest semi-axis of the ellipsoid if the incidence direction is coparallel (but not antiparallel) to Γ. Lorentz nonreciprocity in an object is thus intimately connected to the shape of that object in affecting the scattered field.

AB - The simplest Lorentz-nonreciprocal medium has the constitutive relations (D ε0E − Γ × H and B μ0H Γ × E). Scattering by a three-dimensional object composed of this medium was investigated using the extended boundary condition method. Scattering by this object in free space must be attributed to nonzero Γ jΓj. The differential scattering efficiency is immune to the transformation of the incident toroidal electric field phasor into a poloidal electric field phasor, or vice versa, and a consequence of this source invariance is the polarization-state invariance of the differential scattering efficiency when the irradiating field is a plane wave. Both the total scattering and forward-scattering efficiencies of an ellipsoid composed of the simplest Lorentz-nonreciprocal medium are maximum when the plane wave is incident in a direction coparallel (but not antiparallel) to Γ, and the backscattering efficiency is minimum when Γ is parallel to the incidence direction. The total scattering and forward-scattering efficiencies are maximum when the incidence direction is parallel to the largest semi-axis of the ellipsoid if the incidence direction is coparallel (but not antiparallel) to Γ. Lorentz nonreciprocity in an object is thus intimately connected to the shape of that object in affecting the scattered field.

UR - http://www.scopus.com/inward/record.url?scp=85057492183&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85057492183&partnerID=8YFLogxK

U2 - 10.1364/JOSAA.35.002026

DO - 10.1364/JOSAA.35.002026

M3 - Article

C2 - 30645292

AN - SCOPUS:85057492183

VL - 35

SP - 2026

EP - 2034

JO - Journal of the Optical Society of America A: Optics and Image Science, and Vision

JF - Journal of the Optical Society of America A: Optics and Image Science, and Vision

SN - 1084-7529

IS - 12

ER -