Absorbing boundary conditions for the three-dimensional vector wave equation

Author

Ramahi, Omar M.

Author_Institution

Compaq Comput. Corp., Maynard, MA, USA

Volume

47

Issue

11

fYear

1999

fDate

11/1/1999 12:00:00 AM

Firstpage

1735

Lastpage

1736

Abstract

Absorbing boundary conditions (ABCs) are constructed for the finite-element solution of the three-dimensional (3-D) vector wave equations. Applied on spherical outer boundaries, the new operators are derived by first representing the scalar components of the field in a series of powers 1/τ. Then the Bayliss-Turkel (1980) boundary operators are enforced on scalar field components, which are tangential to the outer boundary. Unlike previous boundary condition constructions, the new scheme makes possible the implementation of operators of order three or higher, thus increasing the accuracy potential of analytic ABCs

Keywords

electromagnetic fields; electromagnetic wave absorption; finite element analysis; mathematical operators; vectors; wave equations; 3D vector wave equation; Bayliss-Turkel boundary operators; absorbing boundary conditions; finite-element solution; scalar field components; spherical outer boundaries; Boundary conditions; Computational efficiency; Finite difference methods; Finite element methods; Impedance; Partial differential equations; Perfectly matched layers; Performance analysis; Scattering; Two dimensional displays;

fLanguage

English

Journal_Title

Antennas and Propagation, IEEE Transactions on

Publisher

ieee

ISSN

0018-926X

Type

jour

DOI

10.1109/8.814954

Filename

814954