High-order exceptional points of counterpropagating waves in weakly deformed microdisk cavities
High-order exceptional points of counterpropagating waves in weakly deformed microdisk cavities
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DOI：
10.1103/physreva.100.043837
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发表时间：
2019-10
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
在最近的一份出版物[物理学]。作者报告了一种基于微扰理论的系统方法，通过不同角动量的耦合模式在弱变形微盘腔中产生非厄米简并，即所谓的异常点。在本文中，我们将这种方法扩展到完全不对称的边界变形。这允许我们增加异常点的阶数，并创建具有有趣的角动量模式的模式，其中存在非均匀的顺时针和逆时针传播。此外，我们将弱变形微盘的微扰理论与耦合模式理论结合起来，解释了通过附在腔上的波导对透射和反射光谱的可能测量。
In a recent publication [Phys. Rev. A 98, 023851 (2018)2469-992610.1103/PhysRevA.98.023851] the authors reported on a systematic approach based on perturbation theory to generate non-Hermitian degeneracies, so-called exceptional points, in weakly deformed microdisk cavities by coupling modes of different angular momentum. In the present paper we extent this approach to fully asymmetric boundary deformations. This allows us to increase the order of the exceptional point and create modes with interesting angular momentum patterns where a nonuniform clockwise and counterclockwise propagation is present. Furthermore, we combine the perturbation theory of weakly deformed microdisks with the coupled-mode theory to explain possible measurements of transmission and reflection spectra via a waveguide attached to the cavity.