Higher order absorbing boundary conditions for the finite-difference time-domain method

Author

Tirkas, Panayiotis A. ; Balanis, Constantine A. ; Renaut, Rosemary A.

Author_Institution

Arizona State Univ., Tempe, AZ, USA

Volume

40

Issue

10

fYear

1992

fDate

10/1/1992 12:00:00 AM

Firstpage

1215

Lastpage

1222

Abstract

Higher-order absorbing boundary conditions are introduced and implemented in a finite-difference time-domain (FDTD) computer code. Reflections caused by the absorbing boundary conditions are examined. For the case of a point source radiating in a finite computational domain, it is shown that the error decreases as the order of approximation of the absorbing boundary condition increases. Fifth-order approximation reduces the normalized reflections to less than 0.2%, whereas the widely used second-order approximation produces about 3% reflections. A method for easy implementation of any order approximation is also presented

Keywords

boundary-value problems; electromagnetic wave absorption; finite difference time-domain analysis; EM propagation; FDTD; error; finite computational domain; finite-difference time-domain method; higher-order absorbing boundary conditions; normalized reflections; order of approximation; point source; Boundary conditions; Chebyshev approximation; Computer errors; Electromagnetic reflection; Finite difference methods; Least squares approximation; Magnetic fields; Maxwell equations; Partial differential equations; Time domain analysis;

fLanguage

English

Journal_Title

Antennas and Propagation, IEEE Transactions on

Publisher

ieee

ISSN

0018-926X

Type

jour

DOI

10.1109/8.182454

Filename

182454