Closed-form expressions for coefficients used in FD-TD high-order boundary conditions
- 1 July 1993
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Microwave and Guided Wave Letters
- Vol. 3 (7) , 222-223
- https://doi.org/10.1109/75.222782
Abstract
P. A. Tirkas et al. (see IEEE Trans. Antennas Propagat., vol.40, no.10, p.1215-1222, 1992) presented an algorithm for implementing absorbing boundary conditions of arbitrarily high order in finite-difference-time-domain (FD-TD) studies. However, they did not provide explicit formulas for determining the expansion coefficients used in the Pade approximations of the pseudo-differential operator. Instead, the user is required to determine the roots of a polynomial using numerical methods that require computational effort and yield only approximate results. Exact expressions for the desired coefficients that are valid for Pade expansions of any order are presented.Keywords
This publication has 3 references indexed in Scilit:
- Higher order absorbing boundary conditions for the finite-difference time-domain methodIEEE Transactions on Antennas and Propagation, 1992
- Theory and application of radiation boundary operatorsIEEE Transactions on Antennas and Propagation, 1988
- “Free-space” boundary conditions for the time dependent wave equationJournal of Computational Physics, 1975