Gap localization of multiple TE-Modes by arbitrarily weak defects
Gap localization of multiple TE-Modes by arbitrarily weak defects
复制标题
通过任意弱缺陷对多个 TE 模式进行间隙定位
DOI：
10.1112/jlms.12337
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发表时间：
2020
期刊：
影响因子：
--
通讯作者：
Brown B
中科院分区：
文献类型：
--
作者：
Brown B
本文考虑了光子晶体波导中 TE 模式的传播。波导是通过将线性缺陷引入周期性背景介质而创建的。周期性背景问题和摄动问题都通过散度型方程建模。我们分析的一个特点是我们允许算子系数存在不连续性，这是对许多光子晶体进行建模所必需的。在负阶 Sobolev 空间中使用 Floquet-Bloch 理论，我们根据任意弱缺陷的原始周期性背景介质的能带函数来表征由线缺陷产生的特征值的精确数量。
This paper considers the propagation of TE‐modes in photonic crystal waveguides. The waveguide is created by introducing a linear defect into a periodic background medium. Both the periodic background problem and the perturbed problem are modelled by a divergence type equation. A feature of our analysis is that we allow discontinuities in the coefficients of the operator, which is required to model many photonic crystals. Using the Floquet–Bloch theory in negative‐order Sobolev spaces, we characterize the precise number of eigenvalues created by the line defect in terms of the band functions of the original periodic background medium for arbitrarily weak defects.