Full-vectorial finite element beam propagation method with perfectly matched layers for anisotropic optical waveguides
Full-vectorial finite element beam propagation method with perfectly matched layers for anisotropic optical waveguides
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DOI：
10.1109/50.918895
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发表时间：
2001-03
影响因子：
4.7
通讯作者：
K. Saitoh;M. Koshiba
中科院分区：
文献类型：
--
作者：
K. Saitoh;M. Koshiba
将完全匹配层(PML)边界条件引入到基于有限元格式的全矢量光束传播法(BPM)中，用于分析三维各向异性光波导。在该方法中，横场分量采用基于线性切向和二次法线向量基函数的边缘单元。为了说明这种方法的有效性和实用性，给出了高斯光束在质子交换LiNbO/SUB3/光波导中传输的数值例子。通过与传统吸收边界条件(ABC)的比较，详细研究了该PML边界条件的数值精度。
Perfectly matched layer (PML) boundary conditions are incorporated into the full-vectorial beam propagation method (BPM) based on a finite element scheme for the three-dimensional (3-D) anisotropic optical waveguide analysis. In the present approach, edge elements based on linear-tangential and quadratic-normal vector basis functions are used for the transverse field components. To show the validity and usefulness of this approach, numerical examples are shown for Gaussian beam propagation in proton-exchanged LiNbO/sub 3/ optical waveguides. Numerical accuracy of the present PML boundary condition is investigated in detail by comparing the results with those of the conventional absorbing boundary condition (ABC).