Layer Potential Techniques in Spectral Analysis. Part II: Sensitivity Analysis of Spectral Properties of High Contrast Band-Gap Materials
Layer Potential Techniques in Spectral Analysis. Part II: Sensitivity Analysis of Spectral Properties of High Contrast Band-Gap Materials
复制标题
光谱分析中的层势技术。
DOI：
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发表时间：
2006
影响因子：
1.6
通讯作者：
Habib Zribi
中科院分区：
文献类型：
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作者：
H. Ammari;Hyeonbae Kang;S. Soussi;Habib Zribi
我们研究了高对比度双组分周期介质中波的频谱的带隙结构。我们考虑二维光子晶体的背景介质是由一个阵列的孔周期性沿着每个正交坐标轴穿孔。我们对折射率比和孔几何形状的小扰动进行了高阶灵敏度分析。我们的方法，这是基于边界积分微扰理论，提供了一个新的工具，在光子晶体的优化设计问题。
We investigate the band‐gap structure of the frequency spectrum for waves in a high‐contrast, two‐component periodic medium. We consider two‐dimensional photonic crystals consisting of a background medium which is perforated by an array of holes periodic along each of the two orthogonal coordinate axes. We perform a high‐order sensitivity analysis with respect to the index ratio and small perturbations in the geometry of the holes. Our method, which is based on a boundary integral perturbation theory, gives a new tool for the optimal design problem in photonic crystals.