Corrected perturbation theory for transverse-electric whispering-gallery modes in deformed microdisks

Corrected perturbation theory for transverse-electric whispering-gallery modes in deformed microdisks
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DOI:
10.1103/physreva.99.063825
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发表时间:
2018-11
期刊:
影响因子:
2.9
通讯作者:
Manuel Badel;J. Wiersig
Manuel Badel;J. Wiersig
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
Manuel Badel;J. Wiersig

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L.GE等人提出的微扰理论。[物理。对于弱变形微盘中的横向电极化模式[Rev.A87,023833],省略了与磁场法向导数沿边界变化有关的项。在这里,我们证明了这些术语是精确描述具有强烈弯曲边界的微盘所必需的。特别是证明了修正的微扰理论可以描述弱边界变形引起的Q因子增强这一反直觉的现象。我们详细讨论了微花腔和柠檬腔。修正后的微扰理论与完整的数值结果吻合较好。
The perturbation theory by L. Ge et al. [Phys. Rev. A 87, 023833] for transverse-electric polarized modes in weakly deformed microdisks omits terms related to the variation of the normal derivative of the magnetic field along the boundary. Here we show that these terms are necessary to accurately describe microdisks with a strongly winding boundary. In particular, it is demonstrated that the corrected perturbation theory allows to describe the counterintuitive phenomenon of Q-factor enhancement due to weak boundary deformation. We discuss in detail the microflower cavity and the limacon cavity. Good agreement of the corrected perturbation theory with full numerical results is observed.