Higher order absorbing boundary conditions for the finite-difference time-domain method
- 1 January 1992
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Antennas and Propagation
- Vol. 40 (10) , 1215-1222
- https://doi.org/10.1109/8.182454
Abstract
Higher-order absorbing boundary conditions are introduced and implemented in 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.Keywords
This publication has 8 references indexed in Scilit:
- Absorbing boundary conditions, difference operators, and stabilityJournal of Computational Physics, 1992
- THE FINITE-DIFFERENCE TIME-DOMAIN METHOD FOR NUMERICAL MODELING OF ELECTROMAGNETIC WAVE INTERACTIONS WITH ARBITRARY STRUCTURESPublished by Elsevier ,1990
- Theory and application of radiation boundary operatorsIEEE Transactions on Antennas and Propagation, 1988
- Wide-angle one-way wave equationsThe Journal of the Acoustical Society of America, 1988
- Well-posedness of one-way wave equations and absorbing boundary conditionsMathematics of Computation, 1986
- Absorbing Boundary Conditions for the Finite-Difference Approximation of the Time-Domain Electromagnetic-Field EquationsIEEE Transactions on Electromagnetic Compatibility, 1981
- Absorbing Boundary Conditions for the Numerical Simulation of WavesMathematics of Computation, 1977
- “Free-space” boundary conditions for the time dependent wave equationJournal of Computational Physics, 1975