The time domain discrete green's function method (GFM) as an ABC for arbitrarily-shaped boundaries

R. Holtzman, R. Kastnert, E. Heyman, R. W. Ziolkowski

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Scopus citations

Abstract

With the advent of newly-introduced Absorbing Boundary Conditions (ABC's) for mesh truncation in the context of the Finite-Difference-Time-Domain (FDTD) computations, it has been recognized that the boundaries of the computational domain can be defined in close proximity to scatterers, and yet produce very small reflections. The most successful methods can be categorized under the two following titles: (A) approximations to the continuous one way wave equation at the boundary e.g. the Engquist-Majda-Mur conditions [l], and (b) the use of artificial or physical absorbing materials near the boundary, such as the PML [2]. The ABC's, applied at the boundaries of the computational domain, are initially formulated in the continuous world, and then discretized for use in the FDTD scheme. It is now recognized that typically more than 10 PML layers must be employed for sufficiently accurate results. This extra computational region imposes additional burden on the computational resources, compared with simpler methods that only require a small stencil close to the boundary.

Original languageEnglish (US)
Title of host publication21st IEEE Convention of the Electrical and Electronic Engineers in Israel, Proceedings
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages25-28
Number of pages4
ISBN (Electronic)0780358422, 9780780358423
DOIs
StatePublished - Jan 1 2000
Event21st IEEE Convention of the Electrical and Electronic Engineers in Israel, IEEEI 2000 - Tel-Aviv, Israel
Duration: Apr 11 2000Apr 12 2000

Publication series

Name21st IEEE Convention of the Electrical and Electronic Engineers in Israel, Proceedings

Other

Other21st IEEE Convention of the Electrical and Electronic Engineers in Israel, IEEEI 2000
CountryIsrael
CityTel-Aviv
Period4/11/004/12/00

ASJC Scopus subject areas

  • Electrical and Electronic Engineering

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    Holtzman, R., Kastnert, R., Heyman, E., & Ziolkowski, R. W. (2000). The time domain discrete green's function method (GFM) as an ABC for arbitrarily-shaped boundaries. In 21st IEEE Convention of the Electrical and Electronic Engineers in Israel, Proceedings (pp. 25-28). [924308] (21st IEEE Convention of the Electrical and Electronic Engineers in Israel, Proceedings). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/EEEI.2000.924308