TY - JOUR
T1 - Stability analysis of the Green's Function Method (GFM) used as an ABC for arbitrarily shaped boundaries
AU - Holtzman, Ronen
AU - Kastner, Raphael
AU - Heyman, Ehud
AU - Ziolkowski, Richard W.
N1 - Funding Information:
Manuscript received April 3, 2000; revised March 29, 2001. This work was supported by Grant No. 1999420, under the United States–Israel Binational Science Foundation (BSF), Jerusalem, Israel.
PY - 2002/7
Y1 - 2002/7
N2 - The time-domain discrete Green's function of the external region beyond a given boundary has been recently introduced as a discretized version of the impedance condition. It is incorporated within the framework of the finite-difference time-domain (FDTD) as a quasi-local, single-layer boundary condition, termed the Green's function method (GFM). The stability characteristics of this method are provided. 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. A demonstration of the GFM absorbing boundary condition's (ABCs) ability to deal with re-entrant corner problems is given.
AB - The time-domain discrete Green's function of the external region beyond a given boundary has been recently introduced as a discretized version of the impedance condition. It is incorporated within the framework of the finite-difference time-domain (FDTD) as a quasi-local, single-layer boundary condition, termed the Green's function method (GFM). The stability characteristics of this method are provided. 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. A demonstration of the GFM absorbing boundary condition's (ABCs) ability to deal with re-entrant corner problems is given.
KW - Absorbing boundary conditions (ABCs)
KW - Finite-difference time-domain (FDTD)
KW - Green's function
KW - Stability
UR - http://www.scopus.com/inward/record.url?scp=0036631080&partnerID=8YFLogxK
U2 - 10.1109/TAP.2002.802272
DO - 10.1109/TAP.2002.802272
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AN - SCOPUS:0036631080
SN - 0018-926X
VL - 50
SP - 1017
EP - 1029
JO - IEEE Transactions on Antennas and Propagation
JF - IEEE Transactions on Antennas and Propagation
IS - 7
ER -