Resonances of a Finite One-Dimensional Photonic Crystal with a Defect

Resonances of a Finite One-Dimensional Photonic Crystal with a Defect
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有缺陷的有限一维光子晶体的共振

DOI:
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发表时间:
2013
影响因子:
1.9
通讯作者:
F. Santosa
F. Santosa
中科院分区:
数学4区
文献类型:
--
作者:
Junshan Lin;F. Santosa

文献摘要

被引文献

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本文研究了有限范围层状介质的散射共振问题。光子结构由有限数量的周期性层和一些嵌入内部的缺陷组成。证明了无限大层状结构存在接近点谱的共振。此外,这种近束缚态共振和点谱之间的距离作为周期层的数量的函数呈指数衰减。本文还提出了一种简单的数值计算方法来精确计算近束缚态共振。
This paper is concerned with the scattering resonances of a layered dielectric medium of finite extent. The photonic structure consists of a finite number of periodic layers and some defect embedded in the interior. It is proved that there exist resonances that are close to the point spectrum of an infinite layered structure. Moreover, the distance between such near bound-state resonances and the point spectrum decays exponentially as a function of the number of the periodic layers. A simple numerical method is also presented to calculate the near bound-state resonances accurately.