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arXiv 0802.1384physics.optics
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圆形介质腔中的谐振

Resonances in a circular dielectric cavity

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

摘要:

本文研究了圆形介质腔中的共振分布。结果表明,衰减率分布具有峰值结构,峰值的细节与经典的生存概率时间分布一致。我们还研究了在小开口极限下的复共振位置的行为。在大的$n$极限下,复共振位置的实部接近具有尺度$n^{-2}$的Dirichlet问题的具有不同$m$的解,并且虚部变为零,对于TM极化为$n^{-2m}$,对于TE极化为$n^{-2(m+1)}$,其中$m$是共振的阶数。

英文摘要:

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. 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 $n^{-2m}$ for TM and $n^{-2(m+1)}$ for TE polarization, where $m$ is the order of the resonance.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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