Resonances in a circular dielectric cavity

Jung Wan Ryu; Sunghwan Rim; Young Jai Park; Chil Min Kim; Soo Young Lee

doi:10.1016/j.physleta.2008.02.018

Resonances in a circular dielectric cavity

Jung Wan Ryu, Sunghwan Rim, Young Jai Park, Chil Min Kim, Soo Young Lee

Department of Physics and Chemistry

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Abstract

We study resonance distributions in a circular dielectric cavity. It is shown that the decay-rate distribution has a peak structure and the details of the peak are consistent with the classical survival probability time distribution. We also investigate the behavior of the complex resonance positions at the small opening limit (n → ∞, n is the refractive index of the cavity). At the large n limit, the real part of complex resonance positions approaches the solutions with different m of Dirichlet problem with a scale n^-2 and the imaginary part goes zero as n^{- 2 m} for TM and n^{- 2 (m + 1)} for TE polarization, where m is the order of the resonance.

Original language	English
Pages (from-to)	3531-3536
Number of pages	6
Journal	Physics Letters, Section A: General, Atomic and Solid State Physics
Volume	372
Issue number	19
DOIs	https://doi.org/10.1016/j.physleta.2008.02.018
State	Published - 5 May 2008

Bibliographical note

Funding Information:
This work was supported by the Creative Research Initiatives (Center for Quantum Chaos Application) MOST/KOSEF. J.-W.R. and S.-Y.L. were supported by the Brain Korea 21 Project in 2006, and C.-M.K. is partially supported by Sogang Research Grant of 20071114.

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10.1016/j.physleta.2008.02.018

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title = "Resonances in a circular dielectric cavity",

abstract = "We study resonance distributions in a circular dielectric cavity. It is shown that the decay-rate distribution has a peak structure and the details of the peak are consistent with the classical survival probability time distribution. We also investigate the behavior of the complex resonance positions at the small opening limit (n → ∞, n is the refractive index of the cavity). At the large n limit, the real part of complex resonance positions approaches the solutions with different m of Dirichlet problem with a scale n-2 and the imaginary part goes zero as n- 2 m for TM and n- 2 (m + 1) for TE polarization, where m is the order of the resonance.",

author = "Ryu, {Jung Wan} and Sunghwan Rim and Park, {Young Jai} and Kim, {Chil Min} and Lee, {Soo Young}",

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AU - Ryu, Jung Wan

AU - Rim, Sunghwan

AU - Park, Young Jai

AU - Kim, Chil Min

AU - Lee, Soo Young

N1 - Funding Information: This work was supported by the Creative Research Initiatives (Center for Quantum Chaos Application) MOST/KOSEF. J.-W.R. and S.-Y.L. were supported by the Brain Korea 21 Project in 2006, and C.-M.K. is partially supported by Sogang Research Grant of 20071114.

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Y1 - 2008/5/5

N2 - We study resonance distributions in a circular dielectric cavity. It is shown that the decay-rate distribution has a peak structure and the details of the peak are consistent with the classical survival probability time distribution. We also investigate the behavior of the complex resonance positions at the small opening limit (n → ∞, n is the refractive index of the cavity). At the large n limit, the real part of complex resonance positions approaches the solutions with different m of Dirichlet problem with a scale n-2 and the imaginary part goes zero as n- 2 m for TM and n- 2 (m + 1) for TE polarization, where m is the order of the resonance.

AB - We study resonance distributions in a circular dielectric cavity. It is shown that the decay-rate distribution has a peak structure and the details of the peak are consistent with the classical survival probability time distribution. We also investigate the behavior of the complex resonance positions at the small opening limit (n → ∞, n is the refractive index of the cavity). At the large n limit, the real part of complex resonance positions approaches the solutions with different m of Dirichlet problem with a scale n-2 and the imaginary part goes zero as n- 2 m for TM and n- 2 (m + 1) for TE polarization, where m is the order of the resonance.

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JO - Physics Letters, Section A: General, Atomic and Solid State Physics

JF - Physics Letters, Section A: General, Atomic and Solid State Physics

IS - 19

ER -

Resonances in a circular dielectric cavity

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