Perturbation theory for asymmetric deformed microdisk cavities
Perturbation theory for asymmetric deformed microdisk cavities
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DOI：
10.1103/physreva.94.043850
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发表时间：
2016-10
影响因子：
2.9
通讯作者：
Julius Kullig;J. Wiersig
中科院分区：
文献类型：
--
作者：
Julius Kullig;J. Wiersig
在Dubertrandet等人的一篇文章中。A 77,013804(2008)PLRAAN1050-294710.1103/PhysRevA.77.013804]修订本发展了镜面反射对称性微变形光学微腔的微扰理论。然而，在实际实验中，这种镜面反射对称性通常不存在，无论是有意还是无意地通过生产公差。因此在本文中，我们将摄动理论推广到非对称边界变形。因此，我们能够描述有趣的非厄米现象，如腔内光学模沿(逆)顺时针方向的共传播。推导出的解析公式在螺旋形和双缺口圆两种常见的边界形状下得到了验证，与数值边界元方法有很好的一致性。
In an article by Dubertrandet al.[Phys. Rev. A 77, 013804 (2008)PLRAAN1050-294710.1103/PhysRevA.77.013804] the perturbation theory for slightly deformed optical microcavities with a mirror-reflection symmetry was developed. However, in real experiments such a mirror-reflection symmetry is often not present either intended or unintended via production tolerances. In this paper we therefore extended the perturbation theory to asymmetric boundary deformations. Consequently, we are able to describe interesting non-Hermitian phenomena like copropagation of optical modes in the (counter-)clockwise direction inside the cavity. The derived analytic formulas are demonstrated at two generic boundary shapes, the spiral and the double-notched circle where a good agreement to the numerical boundary element method is observed.