Band gap calculations of photonic crystals by singular boundary method

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• 作者：Weiwei Li ; Wen Chen ; ^{chenwen@hhu.edu.cn}
• 关键词：Photonic crystals ; Band gap ; Band structures ; Meshless ; Singular boundary method
• 刊名：Journal of Computational and Applied Mathematics
• 出版年：2017
• 出版时间：1 May 2017
• 年：2017
• 卷：315
• 期：Complete
• 页码：273-286
• 全文大小：723 K
• 卷排序：315

文摘

This paper applies the singular boundary method (SBM) to compute band gap structures of two-dimensional (2D) photonic crystals. By using the fundamental solutions, a linear eigenvalue equation is established to describe the relationship between the Block wave and frequency. For given frequencies, the solution of the equation yields the related Block wave vectors. The convergence, accuracy and efficiency are carefully examined through several benchmark cases.