Second-order absorbing boundary conditions for the FD-TLM method analysis of open-region scattering problems

Jing Meng, Ram Mohan Narayanan, Robert H. Voelker

Research output: Contribution to journalConference article

Abstract

This paper extends the utility of the finite-difference transmission-line-matrix (FD-TLM) method for solving open region scattering problems in remote sensing applications, by developing and evaluating second-order absorbing boundary conditions (ABCs) for the method. The ABCs for the edges and corners are obtained by associating sets of approximate PDEs corresponding to the boundaries. The finite-difference time-domain expressions for the ABCs are derived by using a two-level discretization scheme which is proved to be stable. It can be seen from the plots obtained that the implemented second-order absorbing boundaries are perfectly transparent to the waves impinging on them at incidence angles of 0-45°. Also, the normal incidence reflection coefficient is less than -35 dB for time step n up to 54, at which the global error is less than 10 -5 .

Original languageEnglish (US)
Pages (from-to)1136-1139
Number of pages4
JournalIEEE Antennas and Propagation Society, AP-S International Symposium (Digest)
Volume2
StatePublished - Dec 1 1994
EventProceedings of the IEEE Antennas and Propagation International Symposium. Part 3 (of 3) - Seattle, WA, USA
Duration: Jun 19 1994Jun 24 1994

Fingerprint

Electric lines
Boundary conditions
Scattering
Remote sensing

All Science Journal Classification (ASJC) codes

  • Electrical and Electronic Engineering

Cite this

@article{256d1c58833949a091cfaaa9e9dc4a42,
title = "Second-order absorbing boundary conditions for the FD-TLM method analysis of open-region scattering problems",
abstract = "This paper extends the utility of the finite-difference transmission-line-matrix (FD-TLM) method for solving open region scattering problems in remote sensing applications, by developing and evaluating second-order absorbing boundary conditions (ABCs) for the method. The ABCs for the edges and corners are obtained by associating sets of approximate PDEs corresponding to the boundaries. The finite-difference time-domain expressions for the ABCs are derived by using a two-level discretization scheme which is proved to be stable. It can be seen from the plots obtained that the implemented second-order absorbing boundaries are perfectly transparent to the waves impinging on them at incidence angles of 0-45°. Also, the normal incidence reflection coefficient is less than -35 dB for time step n up to 54, at which the global error is less than 10 -5 .",
author = "Jing Meng and Narayanan, {Ram Mohan} and Voelker, {Robert H.}",
year = "1994",
month = "12",
day = "1",
language = "English (US)",
volume = "2",
pages = "1136--1139",
journal = "AP-S International Symposium (Digest) (IEEE Antennas and Propagation Society)",
issn = "0272-4693",
publisher = "Institute of Electrical and Electronics Engineers Inc.",

}

TY - JOUR

T1 - Second-order absorbing boundary conditions for the FD-TLM method analysis of open-region scattering problems

AU - Meng, Jing

AU - Narayanan, Ram Mohan

AU - Voelker, Robert H.

PY - 1994/12/1

Y1 - 1994/12/1

N2 - This paper extends the utility of the finite-difference transmission-line-matrix (FD-TLM) method for solving open region scattering problems in remote sensing applications, by developing and evaluating second-order absorbing boundary conditions (ABCs) for the method. The ABCs for the edges and corners are obtained by associating sets of approximate PDEs corresponding to the boundaries. The finite-difference time-domain expressions for the ABCs are derived by using a two-level discretization scheme which is proved to be stable. It can be seen from the plots obtained that the implemented second-order absorbing boundaries are perfectly transparent to the waves impinging on them at incidence angles of 0-45°. Also, the normal incidence reflection coefficient is less than -35 dB for time step n up to 54, at which the global error is less than 10 -5 .

AB - This paper extends the utility of the finite-difference transmission-line-matrix (FD-TLM) method for solving open region scattering problems in remote sensing applications, by developing and evaluating second-order absorbing boundary conditions (ABCs) for the method. The ABCs for the edges and corners are obtained by associating sets of approximate PDEs corresponding to the boundaries. The finite-difference time-domain expressions for the ABCs are derived by using a two-level discretization scheme which is proved to be stable. It can be seen from the plots obtained that the implemented second-order absorbing boundaries are perfectly transparent to the waves impinging on them at incidence angles of 0-45°. Also, the normal incidence reflection coefficient is less than -35 dB for time step n up to 54, at which the global error is less than 10 -5 .

UR - http://www.scopus.com/inward/record.url?scp=0028730761&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0028730761&partnerID=8YFLogxK

M3 - Conference article

AN - SCOPUS:0028730761

VL - 2

SP - 1136

EP - 1139

JO - AP-S International Symposium (Digest) (IEEE Antennas and Propagation Society)

JF - AP-S International Symposium (Digest) (IEEE Antennas and Propagation Society)

SN - 0272-4693

ER -