TY - JOUR
T1 - Maxwellian material based absorbing boundary conditions
AU - Ziolkowski, Richard W.
N1 - Funding Information:
The author would like to express his sincere thanks to Dave Wittwer who modified his 3D FDTD simulator to accommodate and to produce the 3D TD-LM ABC test results presented here. The author would like to thank Prof. E. Turkel for several interesting exchanges on Maxwellian material-based ABCs and A. Yefet for providing me with the preprint of Ref. \[22\].T his work was sponsored in part by the Office of Naval Research under grant number N0014-95-1-0636 and by the Air Force Office of Scientific Research, Air Force Materiel Command, USAF, under grant number F49620-96-1-0039. The U.S. Government is authorized to reproduce and distribute reprints for Governmental purposes notwithstanding any copyright notation thereon. The views and conclusions contained herein are those of the author and should not be interpreted as necessarily representing the Office of Naval Research or the Air Force Office of Scientific Research or the US Government.
PY - 1999/2/12
Y1 - 1999/2/12
N2 - Absorbing boundary conditions (ABCs) for the finite-difference time-domain (FDTD) method are introduced which arise from surrounding the simulation space with lossy Maxwellian material layers. Generalizations of the standard Lorentz dispersion material model, the time-derivative and two-time-derivative Lorentz material models, are developed for this purpose. The advantages of this approach include the close connection of the ABCs with the actual absorber physics associated with Maxwell's equations, the avoidance of the field-equation splitting required by the Berenger PML layers, and reduced memory and operation counts. Several multi-dimensional cases are presented to quantify the efficacy of this Maxwellian material-based approach.
AB - Absorbing boundary conditions (ABCs) for the finite-difference time-domain (FDTD) method are introduced which arise from surrounding the simulation space with lossy Maxwellian material layers. Generalizations of the standard Lorentz dispersion material model, the time-derivative and two-time-derivative Lorentz material models, are developed for this purpose. The advantages of this approach include the close connection of the ABCs with the actual absorber physics associated with Maxwell's equations, the avoidance of the field-equation splitting required by the Berenger PML layers, and reduced memory and operation counts. Several multi-dimensional cases are presented to quantify the efficacy of this Maxwellian material-based approach.
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U2 - 10.1016/S0045-7825(98)00156-X
DO - 10.1016/S0045-7825(98)00156-X
M3 - Article
AN - SCOPUS:0033077587
SN - 0045-7825
VL - 169
SP - 237
EP - 262
JO - Computer Methods in Applied Mechanics and Engineering
JF - Computer Methods in Applied Mechanics and Engineering
IS - 3-4
ER -