具有横向PMLs的折射率调制层的本征模
Eigenmodes of index-modulated layers with lateral PMLs
摘要：
麦克斯韦方程组在包括由各向异性完全匹配层（PML）结束的有限数量的均匀各向同性介电区域的层中求解。边值问题的解决和内部的PML的色散关系推导。得到了每一层中任意数目区域的本征值方程的一般表达式，并考虑了两种偏振模式。求出了端部为平行四边形层的单层结构的模态函数，并导出了它们的正交关系。该方法可用于模拟介质目标的散射问题以及平板波导中的传输问题。它的潜力，以处理更复杂的问题，如从一个任意截面在开放空间中使用多层模式方法的目标的散射进行了简要的讨论。
英文摘要：
Maxwell equations are solved in a layer comprising a finite number of homogeneous isotropic dielectric regions ended by anisotropic perfectly matched layers (PMLs). The boundary-value problem is solved and the dispersion relation inside the PML is derived. The general expression of the eigenvalues equation for an arbitrary number of regions in each layer is obtained, and both polarization modes are considered. The modal functions of a single layer ended by PMLs are found, and their orthogonality relation is derived. The present method is useful to simulate scattering problems from dielectric objects as well as propagation in planar slab waveguides. Its potential to deal with more complex problems such as the scattering from an object with arbitrary cross section in open space using the multilayer modal method is briefly discussed.
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