周期结构的全共振透射和反射
Total Resonant Transmission and Reflection by Periodic Structures
摘要：
在接近于支持导模的条件下，周期性平板对平面波的共振散射伴随着尖锐的透射异常。对于二维结构，我们建立了充分的条件，涉及结构对称性，在此条件下，这些异常的特点是由全透射和全反射的频率由一个任意小的量分开。全反射和全透射的轨迹是频率-波数空间中的实解析曲线，其在对应于导模的单个点处二次相交。通过与单个导模的相互作用，可以激发单个异常或多个异常。
英文摘要：
Resonant scattering of plane waves by a periodic slab under conditions close to those that support a guided mode is accompanied by sharp transmission anomalies. For two-dimensional structures, we establish sufficient conditions, involving structural symmetry, under which these anomalies are characterized by total transmission and total reflection at frequencies separated by an arbitrarily small amount. The loci of total reflection and total transmission are real-analytic curves in frequency-wavenumber space that intersect quadratically at a single point corresponding to the guided mode. A single anomaly or multiple anomalies can be excited by the interaction with a single guided mode.
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