Leaky modes of dielectric cavities

Research output: Chapter in Book/Report/Conference proceedingConference contribution

4 Citations (Scopus)

Abstract

In the absence of external excitation, light trapped within a dielectric medium generally decays by leaking out - and also by getting absorbed within the medium. We analyze the leaky modes of a parallel-plate slab, a solid glass sphere, and a solid glass cylinder, by examining those solutions of Maxwell's equations (for dispersive as well as non-dispersive media) which admit of a complex-valued oscillation frequency. Under certain circumstances, these leaky modes constitute a complete set into which an arbitrary distribution of the electromagnetic field residing inside a dielectric body can be expanded. We provide completeness proofs, and also present results of numerical calculations that illustrate the relationship between the leaky modes and the resonances of dielectric cavities formed by a simple parallel-plate slab, a glass sphere, and a glass cylinder.

Original languageEnglish (US)
Title of host publicationSpintronics IX
PublisherSPIE
Volume9931
ISBN (Electronic)9781510602533
DOIs
StatePublished - 2016
EventSpintronics IX - San Diego, United States
Duration: Aug 28 2016Sep 1 2016

Other

OtherSpintronics IX
CountryUnited States
CitySan Diego
Period8/28/169/1/16

Fingerprint

Cavity
Glass
cavities
glass
parallel plates
slabs
Maxwell equations
completeness
Maxwell's equations
Maxwell equation
Numerical Calculation
Electromagnetic fields
Electromagnetic Fields
Completeness
electromagnetic fields
Excitation
Decay
Oscillation
oscillations
Arbitrary

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics
  • Computer Science Applications
  • Applied Mathematics
  • Electrical and Electronic Engineering

Cite this

Mansuripur, M., Kolesik, M., & Jakobsen, P. (2016). Leaky modes of dielectric cavities. In Spintronics IX (Vol. 9931). [99310B] SPIE. https://doi.org/10.1117/12.2237904

Leaky modes of dielectric cavities. / Mansuripur, Masud; Kolesik, Miroslav; Jakobsen, Per.

Spintronics IX. Vol. 9931 SPIE, 2016. 99310B.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Mansuripur, M, Kolesik, M & Jakobsen, P 2016, Leaky modes of dielectric cavities. in Spintronics IX. vol. 9931, 99310B, SPIE, Spintronics IX, San Diego, United States, 8/28/16. https://doi.org/10.1117/12.2237904
Mansuripur M, Kolesik M, Jakobsen P. Leaky modes of dielectric cavities. In Spintronics IX. Vol. 9931. SPIE. 2016. 99310B https://doi.org/10.1117/12.2237904
Mansuripur, Masud ; Kolesik, Miroslav ; Jakobsen, Per. / Leaky modes of dielectric cavities. Spintronics IX. Vol. 9931 SPIE, 2016.
@inproceedings{568fa76ab94a40b4b72036ceb544b966,
title = "Leaky modes of dielectric cavities",
abstract = "In the absence of external excitation, light trapped within a dielectric medium generally decays by leaking out - and also by getting absorbed within the medium. We analyze the leaky modes of a parallel-plate slab, a solid glass sphere, and a solid glass cylinder, by examining those solutions of Maxwell's equations (for dispersive as well as non-dispersive media) which admit of a complex-valued oscillation frequency. Under certain circumstances, these leaky modes constitute a complete set into which an arbitrary distribution of the electromagnetic field residing inside a dielectric body can be expanded. We provide completeness proofs, and also present results of numerical calculations that illustrate the relationship between the leaky modes and the resonances of dielectric cavities formed by a simple parallel-plate slab, a glass sphere, and a glass cylinder.",
author = "Masud Mansuripur and Miroslav Kolesik and Per Jakobsen",
year = "2016",
doi = "10.1117/12.2237904",
language = "English (US)",
volume = "9931",
booktitle = "Spintronics IX",
publisher = "SPIE",
address = "United States",

}

TY - GEN

T1 - Leaky modes of dielectric cavities

AU - Mansuripur, Masud

AU - Kolesik, Miroslav

AU - Jakobsen, Per

PY - 2016

Y1 - 2016

N2 - In the absence of external excitation, light trapped within a dielectric medium generally decays by leaking out - and also by getting absorbed within the medium. We analyze the leaky modes of a parallel-plate slab, a solid glass sphere, and a solid glass cylinder, by examining those solutions of Maxwell's equations (for dispersive as well as non-dispersive media) which admit of a complex-valued oscillation frequency. Under certain circumstances, these leaky modes constitute a complete set into which an arbitrary distribution of the electromagnetic field residing inside a dielectric body can be expanded. We provide completeness proofs, and also present results of numerical calculations that illustrate the relationship between the leaky modes and the resonances of dielectric cavities formed by a simple parallel-plate slab, a glass sphere, and a glass cylinder.

AB - In the absence of external excitation, light trapped within a dielectric medium generally decays by leaking out - and also by getting absorbed within the medium. We analyze the leaky modes of a parallel-plate slab, a solid glass sphere, and a solid glass cylinder, by examining those solutions of Maxwell's equations (for dispersive as well as non-dispersive media) which admit of a complex-valued oscillation frequency. Under certain circumstances, these leaky modes constitute a complete set into which an arbitrary distribution of the electromagnetic field residing inside a dielectric body can be expanded. We provide completeness proofs, and also present results of numerical calculations that illustrate the relationship between the leaky modes and the resonances of dielectric cavities formed by a simple parallel-plate slab, a glass sphere, and a glass cylinder.

UR - http://www.scopus.com/inward/record.url?scp=85006293246&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85006293246&partnerID=8YFLogxK

U2 - 10.1117/12.2237904

DO - 10.1117/12.2237904

M3 - Conference contribution

AN - SCOPUS:85006293246

VL - 9931

BT - Spintronics IX

PB - SPIE

ER -