Higher Order Absorbing Boundary Conditions for the Finite-Difference Time-Domain Method

Panayiotis A. Tirkas; Constantine Balanis; Rosemary Renaut

doi:10.1109/8.182454

Higher Order Absorbing Boundary Conditions for the Finite-Difference Time-Domain Method

Panayiotis A. Tirkas
, Constantine Balanis
, Rosemary Renaut

Research output: Contribution to journal › Article › peer-review

55 Scopus citations

Abstract

Higher order absorbing boundary conditions are introduced and implemented into a finite-difference time-domain (FDTD) computer code. Reflections caused by the absorbing boundary conditions are examined. For the case of a point source radiating in a finite computational domain, it is shown that the error decreases as the order of approximation of the absorbing boundary condition increases. Fifth-order approximation reduces the normalized reflections to less than 0.2% whereas the widely used second-order approximation produces about 3% reflections. A method for easy implementation of any order approximation is also presented.

Original language	English (US)
Pages (from-to)	1215-1222
Number of pages	8
Journal	IEEE Transactions on Antennas and Propagation
Volume	40
Issue number	10
DOIs	https://doi.org/10.1109/8.182454
State	Published - Oct 1992

ASJC Scopus subject areas

Electrical and Electronic Engineering

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AU - Renaut, Rosemary

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AB - Higher order absorbing boundary conditions are introduced and implemented into a finite-difference time-domain (FDTD) computer code. Reflections caused by the absorbing boundary conditions are examined. For the case of a point source radiating in a finite computational domain, it is shown that the error decreases as the order of approximation of the absorbing boundary condition increases. Fifth-order approximation reduces the normalized reflections to less than 0.2% whereas the widely used second-order approximation produces about 3% reflections. A method for easy implementation of any order approximation is also presented.

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Higher Order Absorbing Boundary Conditions for the Finite-Difference Time-Domain Method

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