论文标题

一种新型的分散光子晶体带结构的计算方法

A Novel Computational Method for Band Structures of Dispersive Photonic Crystals

论文作者

Xao, Wenqiang, Sun, Jiguang

论文摘要

我们提出了一种计算分散光子晶体的带状结构的新方法。它可以任意处理频率依赖性,有损或无损材料。首先将频带结构问题提出为操作员函数的特征值问题。然后将有限元素用于离散化。最后,使用光谱指标方法来计算特征值。提出了TE和TM病例中的数值示例以显示有效性。文献中很少有关于TM案例的例子,本文中的三个例子可以用作基准。

We propose a new method to compute band structures of dispersive photonic crystals. It can treat arbitrarily frequency-dependent, lossy or lossless materials. The band structure problem is first formulated as the eigenvalue problem of an operator function. Finite elements are then used for discretization. Finally, the spectral indicator method is employed to compute the eigenvalues. Numerical examples in both the TE and TM cases are presented to show the effectiveness. There exist very few examples in literature for the TM case and three examples in this paper can serve as benchmarks.

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