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arXiv 1707.04690physics.optics
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周期结构上连续介质中的束缚态:微扰理论和鲁棒性

Bound States in the Continuum on Periodic Structures: Perturbation Theory and Robustness

Lijun Yuan, Ya Yan Lu

摘要:

在周期性结构上,连续谱中的束缚态(BIC)是具有辐射连续谱中的频率的驻波或传播布洛赫波。一些BIC(例如,反对称的驻波)是受保护的,因为它们与辐射通道中的输出波具有不相容的对称性。传播的BIC不具有这种对称性失配,但它们仍然关键地依赖于结构的对称性。在这封信中,微扰理论的二维周期性结构上传播的BIC。研究表明,这些BIC是强大的结构扰动,保持对称性,这表明这些BIC实际上是隐含的对称性保护。

英文摘要:

On periodic structures, a bound state in the continuum (BIC) is a standing or propagating Bloch wave with a frequency in the radiation continuum. Some BICs (e.g., antisymmetric standing waves) are symmetry-protected, since they have incompatible symmetry with outgoing waves in the radiation channels. The propagating BICs do not have this symmetry mismatch, but they still depend crucially on the symmetry of the structure. In this Letter, a perturbation theory is developed for propagating BICs on two-dimensional periodic structures. The study shows that these BICs are robust against structural perturbations that preserve the symmetry, indicating that these BICs are in fact implicitly protected by symmetry.

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