Far-Field Correlations Verifying Non-Hermitian Degeneracy of Optical Modes,Physical Review Letters

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Far-Field Correlations Verifying Non-Hermitian Degeneracy of Optical Modes
Physical Review Letters ( IF 8.1 ) Pub Date : 2022-08-12 , DOI: 10.1103/physrevlett.129.074101
Sunjae Gwak ₁ , Jinhyeok Ryu ₁ , Hyundong Kim ₁ , Hyeon-Hye Yu ₁ , Chil-Min Kim ₁ , Chang-Hwan Yi ₂

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An experimental verification of an exceptional point (EP) in a stand-alone chaotic microcavity is a tough issue because as deformation parameters are fixed the traditional frequency analysis methods cannot be applied any more. Through numerical investigations with an asymmetric Reuleaux triangle microcavity (ARTM), we find that the eigenvalue difference of paired modes can approach near-zero regardless of nonorthogonality of the modes. In this case, for a definite verification of EPs in experiments, wave function coalescence should be confirmed. For this, we suggest the method of exploiting correlation of far-field patterns (FFPs), which is directly related to spatial mode patterns. In an ARTM, we demonstrate that the FFP correlation of paired modes can be used to confirm wave function coalescence when an eigenvalue difference approaches near zero.

中文翻译：

验证光学模式非厄米简并的远场相关性

独立混沌微腔中异常点（EP）的实验验证是一个棘手的问题，因为由于变形参数固定，传统的频率分析方法不能再应用。通过对非对称 Reuleaux 三角形微腔 (ARTM) 的数值研究，我们发现无论模式的非正交性如何，成对模式的特征值差异都可以接近于零。在这种情况下，为了在实验中对 EP 进行明确验证，应确认波函数合并。为此，我们建议利用与空间模式模式直接相关的远场模式 (FFP) 相关性的方法。在 ARTM 中，我们证明当特征值差接近零时，成对模式的 FFP 相关性可用于确认波函数合并。

更新日期：2022-08-12

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