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arXiv 1804.03802physics.optics
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周期板上共振态的例外点

Exceptional Points of Resonant States on a Periodic Slab

Amgad Abdrabou, Ya Yan Lu

摘要:

研究了介质周期板上共振态的一种特殊简并现象,即例外点。由于其独特的性能,EP已发现在激光,传感,单向操作等的重要应用。一般来说,EP可能会出现在非厄米特本征值问题,包括那些相关的PT对称系统和开放的电介质结构(由于辐射损耗的存在)。在本文中,我们研究了一个简单的周期性结构上的EP:一个平板与周期性阵列的差距。使用一种有效的数值方法,我们计算的EP和研究它们的依赖于几何参数。当周期板接近均匀板时,得到了极限的解析结果。我们的工作提供了一个简单的平台,进一步研究电介质周期结构的EP,其不寻常的性质和应用。

英文摘要:

A special kind of degeneracies known as the exceptional points (EPs), for resonant states on a dielectric periodic slab, are investigated. Due to their unique properties, EPs have found important applications in lasing, sensing, unidirectional operations, etc. In general, EPs may appear in non-Hermitian eigenvalue problems, including those related to PT-symmetric systems and those for open dielectric structures (due to the existence of radiation loss). In this paper, we study EPs on a simple periodic structure: a slab with a periodic array of gaps. Using an efficient numerical method, we calculate the EPs and study their dependence on geometric parameters. Analytic results are obtained for the limit as the periodic slab approaches a uniform one. Our work provides a simple platform for further studies concerning EPs on dielectric periodic structures, their unusual properties and applications.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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