波纹光栅：宽带反射镜和法布里-珀罗BIC
Wavy optical grating: wideband reflector and Fabry-Perot BICs
摘要：
在这项研究中，我们从理论和数值研究的谐振模式和反射率的波纹介质板组成的光栅应用光谱元素的方法。波形的存在将波导模式转换成泄漏谐振模式。少数特定纵波数的谐振模具有无限大的Q因子，而其他谐振模具有有限的Q因子。对于纵波数为零的泄漏谐振模，Q因子与波形的振幅成反比。多个低Q波纹光栅阵列在大带宽内具有高反射率。双层波纹光栅形成法布里-珀罗腔，其在谐振频率处在连续谱（BIC）中承载法布里-珀罗束缚态。通过调节两个波纹板之间的距离可以调节法布里-珀罗腔的Q因子。波形可以由平坦介质板中的振动波产生，使得可以按需控制BIC模式和宽带反射率。
英文摘要：
In this study, we theoretically and numerically investigate the resonant modes and reflectance of an optical grating consisting of a wavy dielectric slab by applying the spectral element method. The presence of the wavy shape transforms the waveguide modes into leaky resonant modes. A few resonant modes with specific longitudinal wave number have infinitely large Q factor, while the other resonant modes have finite Q factor. For the leaky resonant mode with zero longitudinal wave number, the Q factor is inversely proportional to the amplitude of the wavy shape. An array of multiple low-Q wavy gratings has a high reflectance in a large bandwidth. A double-layer wavy grating forms a Fabry-Perot cavity, which hosts Fabry-Perot bound states in the continuum (BICs) at the resonant frequency. The Q-factor of the Fabry-Perot cavity can be tuned by adjusting the distance between the two wavy slabs. The wavy shape could be generated by a vibrational wave in a flat dielectric slab so that the BICs mode and wideband reflectance could be controlled on-demand.
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