Conformal PML with vector ABC undersurface for scattering problem

Abstract

Perfectly matched layers (PML) are the layers of electromagnetic wave absorbing elements designed for the mesh truncation of an open domain in a harmonic or modal analysis. It is an artificial anisotropic material that is transparent and heavily lossy to incoming electromagnetic waves. Conformal PML(CPML) is a convex and smooth shell region made up of lossy anisotropic medium. Generally, a conformal PML region is backed by a PEC boundary condition or a PMC boundary condition. But there are some reflections back into the computational domain by the PEC (PMC) boundary condition. In order to reduce the reflections, the traditional PEC (PMC) boundary condition is changed into vector absorbing boundary condition (ABC), and functional formula of conformal PML backed by vector ABC is deduced in this paper. Numerical experiments show that conformal PML backed by vector ABC is high-precision and high-efficiency.