The Perfectly Matched Layer (PML) absorbing boundary condition has shown to be an extremely efficient way to truncate the computational domain in finite-difference time-domain (FDTD) simulation of scattering and radiation problems in open regions. In this work we extend the PML concept to spherical coordinates by using an analytic continuation of the Helmholtz equation to complex coordinates (complex coordinate stretching). A 3D PMLFDTD code is written on a spherical grid to validate the formulation against results from pseudo-analytical solutions in free-space.
- Differential equations
- Pdtd methods
- Transient propagation
ASJC Scopus subject areas
- Electronic, Optical and Magnetic Materials
- Electrical and Electronic Engineering