Exact solutions for light scattering from dielectric-disk arrays

K. J. Schaudt, Nai-Hang Kwong, J. D. Garcia

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

This paper reports the first stage of a study intended to shed light on our understanding of the connection between chaotic classical trajectories and scattering resonance distributions. We have numerically examined scalar-wave-equation solutions for light scattering from an array of three dielectric cylinders. Similar systems using hard disks as well as continuous repulsive potentials, which support classical chaos, have been studied before. Our dielectric cylinders have the advantage of allowing us to study the effect of caustics on the scattering while being a system simple enough to be solved exactly. Using a Greens-theorem approach, we have calculated differential and total cross sections in the relatively-long-wavelength regime (ka20) and compared them to previous results. We find interestingly large differences between the three-hard-disk case and our dielectric case: the dielectric scattering cross section displays considerably more structure. It may be possible to experimentally verify these results for our dielectric cylinders. Our paper includes an explanation of the major qualitative features exhibited by the cross sections.

Original languageEnglish (US)
Pages (from-to)4076-4079
Number of pages4
JournalPhysical Review A
Volume44
Issue number6
DOIs
StatePublished - 1991

Fingerprint

light scattering
cross sections
resonance scattering
scattering cross sections
wave equations
chaos
alkalies
Green's functions
trajectories
scalars
scattering
wavelengths

ASJC Scopus subject areas

  • Physics and Astronomy(all)
  • Atomic and Molecular Physics, and Optics

Cite this

Exact solutions for light scattering from dielectric-disk arrays. / Schaudt, K. J.; Kwong, Nai-Hang; Garcia, J. D.

In: Physical Review A, Vol. 44, No. 6, 1991, p. 4076-4079.

Research output: Contribution to journalArticle

Schaudt, K. J. ; Kwong, Nai-Hang ; Garcia, J. D. / Exact solutions for light scattering from dielectric-disk arrays. In: Physical Review A. 1991 ; Vol. 44, No. 6. pp. 4076-4079.
@article{e8f98298d7fe4e519c3c4b3eb5645167,
title = "Exact solutions for light scattering from dielectric-disk arrays",
abstract = "This paper reports the first stage of a study intended to shed light on our understanding of the connection between chaotic classical trajectories and scattering resonance distributions. We have numerically examined scalar-wave-equation solutions for light scattering from an array of three dielectric cylinders. Similar systems using hard disks as well as continuous repulsive potentials, which support classical chaos, have been studied before. Our dielectric cylinders have the advantage of allowing us to study the effect of caustics on the scattering while being a system simple enough to be solved exactly. Using a Greens-theorem approach, we have calculated differential and total cross sections in the relatively-long-wavelength regime (ka20) and compared them to previous results. We find interestingly large differences between the three-hard-disk case and our dielectric case: the dielectric scattering cross section displays considerably more structure. It may be possible to experimentally verify these results for our dielectric cylinders. Our paper includes an explanation of the major qualitative features exhibited by the cross sections.",
author = "Schaudt, {K. J.} and Nai-Hang Kwong and Garcia, {J. D.}",
year = "1991",
doi = "10.1103/PhysRevA.44.4076",
language = "English (US)",
volume = "44",
pages = "4076--4079",
journal = "Physical Review A",
issn = "2469-9926",
publisher = "American Physical Society",
number = "6",

}

TY - JOUR

T1 - Exact solutions for light scattering from dielectric-disk arrays

AU - Schaudt, K. J.

AU - Kwong, Nai-Hang

AU - Garcia, J. D.

PY - 1991

Y1 - 1991

N2 - This paper reports the first stage of a study intended to shed light on our understanding of the connection between chaotic classical trajectories and scattering resonance distributions. We have numerically examined scalar-wave-equation solutions for light scattering from an array of three dielectric cylinders. Similar systems using hard disks as well as continuous repulsive potentials, which support classical chaos, have been studied before. Our dielectric cylinders have the advantage of allowing us to study the effect of caustics on the scattering while being a system simple enough to be solved exactly. Using a Greens-theorem approach, we have calculated differential and total cross sections in the relatively-long-wavelength regime (ka20) and compared them to previous results. We find interestingly large differences between the three-hard-disk case and our dielectric case: the dielectric scattering cross section displays considerably more structure. It may be possible to experimentally verify these results for our dielectric cylinders. Our paper includes an explanation of the major qualitative features exhibited by the cross sections.

AB - This paper reports the first stage of a study intended to shed light on our understanding of the connection between chaotic classical trajectories and scattering resonance distributions. We have numerically examined scalar-wave-equation solutions for light scattering from an array of three dielectric cylinders. Similar systems using hard disks as well as continuous repulsive potentials, which support classical chaos, have been studied before. Our dielectric cylinders have the advantage of allowing us to study the effect of caustics on the scattering while being a system simple enough to be solved exactly. Using a Greens-theorem approach, we have calculated differential and total cross sections in the relatively-long-wavelength regime (ka20) and compared them to previous results. We find interestingly large differences between the three-hard-disk case and our dielectric case: the dielectric scattering cross section displays considerably more structure. It may be possible to experimentally verify these results for our dielectric cylinders. Our paper includes an explanation of the major qualitative features exhibited by the cross sections.

UR - http://www.scopus.com/inward/record.url?scp=4243257123&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=4243257123&partnerID=8YFLogxK

U2 - 10.1103/PhysRevA.44.4076

DO - 10.1103/PhysRevA.44.4076

M3 - Article

AN - SCOPUS:4243257123

VL - 44

SP - 4076

EP - 4079

JO - Physical Review A

JF - Physical Review A

SN - 2469-9926

IS - 6

ER -