Performance Analysis of Perfectly Matched Layers Applied to Spherical FDTD Grids

A numerical analysis of the performance of the spherical perfectly matched layer (PML) applied to the finite-difference time-domain (FDTD) algorithm implemented in spherical staggered grids is presented in this communication. The spherical PML is derived through a complex transformation (analytical continuation) of the radial coordinate. We evaluate the performance of the spherical PML by simulating fields produced by electric dipoles within the spherical FDTD terminated by a spherical PML and computing the reflection error. The influence of several PML parameters on the reflection error is examined.