## 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 |
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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 | |

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.