Stability analysis of the Green´s function method (GFM) used as an ABC for arbitrarily-shaped boundaries

Author

Holtzman, R. ; Kastner, R. ; Heyman, E. ; Ziolkowski, R.W.

Author_Institution

Dept. of Phys. Electron., Tel Aviv Univ., Israel

Volume

3

fYear

2000

fDate

16-21 July 2000

Firstpage

1358

Abstract

The time-domain Green´s function of the external region beyond a given boundary is an inherently discretized version of the impedance condition. It is incorporated within the framework of the FDTD as a single layer boundary condition, termed the Green´s function method (GFM). The stability characteristics of this method are described. The analysis is based on the general representation of the method in matrix form, whose eigenvalues are investigated. This formulation helps detect and remove possible instabilities of the algorithm.

Keywords

Green´s function methods; boundary-value problems; eigenvalues and eigenfunctions; electromagnetic wave absorption; finite difference time-domain analysis; matrix algebra; numerical stability; parallel plate waveguides; waveguide theory; ABC; FDTD; GFM; Green´s function method; absorbing boundary condition; algorithm instabilities removal; arbitrarily-shaped boundaries; boundary value problems; eigenvalues; gain matrix; impedance condition; parallel plate waveguides; single layer boundary condition; stability analysis; time-domain Green´s function; Boundary conditions; Casting; Eigenvalues and eigenfunctions; Equations; Erbium; Finite difference methods; Green´s function methods; Impedance; Stability analysis; Time domain analysis;

fLanguage

English

Publisher

ieee

Conference_Titel

Antennas and Propagation Society International Symposium, 2000. IEEE

Conference_Location

Salt Lake City, UT, USA

Print_ISBN

0-7803-6369-8

Type

conf

DOI

10.1109/APS.2000.874456

Filename

874456