Gap localization of TE-modes by arbitrarily weak defects
Gap localization of TE-modes by arbitrarily weak defects
复制标题
任意弱缺陷对 TE 模式的能隙局部化
DOI：
10.1112/jlms.12046
复制
发表时间：
2017
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
本文研究了TE模在光子晶体波导中的传播。通过在周期性背景介质中引入线性缺陷来产生波导。周期背景问题和扰动问题都由一个发散型方程来描述。我们的分析的一个特点是，我们允许不连续的运营商，这是需要模拟许多光子晶体的系数。结果表明，任意弱扰动将谱引入背景算子的谱隙。
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. It is shown that arbitrarily weak perturbations introduce spectrum into the spectral gaps of the background operator.