Extension of the PML absorbing boundary condition to 3D spherical coordinates: scalar case

Author

Teixeira, F.L. ; Chew, W.C.

Author_Institution

Dept. of Electr. & Comput. Eng., Illinois Univ., Urbana, IL, USA

Volume

34

Issue

5

fYear

1998

fDate

9/1/1998 12:00:00 AM

Firstpage

2680

Lastpage

2683

Abstract

The perfectly matched layer (PML) absorbing boundary condition has been 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 PML-FDTD code is written on a spherical grid to validate the formulation against results from pseudo-analytical solutions in free-space

Keywords

Helmholtz equations; electromagnetic wave scattering; finite difference time-domain analysis; 3D spherical coordinates; FDTD simulation; Helmholtz equation; PML absorbing boundary condition; complex coordinate stretching; computational domain; perfectly matched layer; pseudo-analytical solutions; radiation problems; scattering problems; Boundary conditions; Closed-form solution; Computational electromagnetics; Computer aided software engineering; Finite difference methods; Maxwell equations; Partial differential equations; Perfectly matched layers; Reflection; Time domain analysis;

fLanguage

English

Journal_Title

Magnetics, IEEE Transactions on

Publisher

ieee

ISSN

0018-9464

Type

jour

DOI

10.1109/20.717621

Filename

717621