广义正交坐标系中FDTD算法的APML吸收边界

Anisotropic PML absorbing boundary for FDTD ingeneralized orthogonal coordinates

利用坐标拉伸方法,将复坐标系统中矩阵形式的Maxwell方程映射到实坐标系统中,由坐标系的拉梅系数得到了广义正交坐标系下各向异性完全匹配层吸收边界条件.数值结果表明了该吸收边界的有效性.

A simple and systematic derivation of anisotropic perfectly matched layer (APML) for the finite-difference time-domain (FDTD) method in generalized orthogonal coordinates (GOG) is presented. The derivation is based on the complex coordinate stretching approach. Through mapping matrix presentation of Maxwell's equations in a complex coordinate system into the real one, the constitutive tensor of this APML is simply obtained from the Lame coefficients of the coordinate. Numerical results illustrate the effectiveness of absorbing boundary in this APML.