论文标题

关于横向泄漏通道的波导中连续体的结合状态的稳健性

On the robustness of bound states in the continuum in waveguides with lateral leakage channels

论文作者

Yuan, Lijun, Lu, Ya Yan

论文摘要

连续体(BIC)中的结合状态被捕获或引导模式,并具有辐射连续性的频率。它们与高质量的因子共振相关,这些共振引起了强烈的局部现场增强和散射光谱的快速变化,并发现了许多有价值的应用。如果有一个侧向结构支撑兼容波在横向方向传播的横向结构,即有一个侧向泄漏的通道,则光波导的指导模式也可以是BIC。如果结构略微扰动,则通常会破坏BIC(成为谐振或泄漏模式),但对于大型扰动家庭,某些BIC具有强大的功能。在本文中,我们(通过分析和数值)表明,具有左右镜像对称性的光学波导中的典型BIC和单个侧向泄漏通道相对于保留左右镜像对称性的任何结构扰动都具有鲁棒性。我们的研究提高了对BIC的理论理解,当BIC在光学波导中的应用中应用时,可能会很有用。

Bound states in the continuum (BICs) are trapped or guided modes with frequencies in radiation continua. They are associated with high-quality-factor resonances that give rise to strong local field enhancement and rapid variations in scattering spectra, and have found many valuable applications. A guided mode of an optical waveguide can also be a BIC, if there is a lateral structure supporting compatible waves propagating in the lateral direction, i.e., there is a channel for lateral leakage. A BIC is typically destroyed (becomes a resonant or a leaky mode) if the structure is slightly perturbed, but some BICs are robust with respect to a large family of perturbations. In this paper, we show (analytically and numerically) that a typical BIC in optical waveguides with a left-right mirror symmetry and a single lateral leakage channel is robust with respect to any structural perturbation that preserves the left-right mirror symmetry. Our study improves the theoretical understanding on BICs and can be useful when applications of BICs in optical waveguides are explored.

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