三维各向异性光子晶体的扩展平面波展开法
The Extended Plane Wave Expansion Method in Three Dimensional Anisotropic Photonic Crystal
摘要：
本文将传统的平面波展开法推广到三维各向异性光子晶体中，使之能够计算复$\mathbf{k}$，即使介电常数和磁导率是复数或$ω$的函数。在推导过程中有一些技巧，所以我们详细展示了这个过程。此外，我们还提供了一个例子进行验证和解释，并将计算结果与传统的平面波展开方法得到的能带结构进行了比较，发现两者具有很好的一致性。
英文摘要：
In this paper, we extend the conventional plane wave expansion method in 3D anisotropic photonic crystal to be able to calculate the complex $\mathbf{k}$ even if permittivity and permeability are complex numbers or the functions of $ω$. There are some tricks in the derivation process, so we show the process in detail. Besides, we also provide an example for testing and explaining, and we also compare the results with the band structure derived from conventional plane wave expansion method, then we finally find that there is a good consistency between them.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
