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arXiv physics/0206018physics.opticsnlin.CDphysics.gen-ph
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介质微腔谐振问题的边界元法

Boundary element method for resonances in dielectric microcavities

Jan Wiersig

摘要:

本文介绍了一种基于格林函数技术的边界元方法,用于计算准二维介质腔中具有中间寿命的谐振腔。它可以应用于单个或多个光学谐振腔的任意形状,包括角落,为TM和TE偏振。对于具有对称性的腔,描述了对称性约简。讨论了伪解的存在性。通过计算两个耦合六边形腔的共振,证明了该方法的有效性。

英文摘要:

A boundary element method based on a Green's function technique is introduced to compute resonances with intermediate lifetimes in quasi-two-dimensional dielectric cavities. It can be applied to single or several optical resonators of arbitrary shape, including corners, for both TM and TE polarization. For cavities with symmetries a symmetry reduction is described. The existence of spurious solutions is discussed. The efficiency of the method is demonstrated by calculating resonances in two coupled hexagonal cavities.

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