A review of absorbing boundary conditions for two and three-dimensional electromagnetic scattering problems
- 1 July 1989
- journal article
- review article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Magnetics
- Vol. 25 (4) , 3034-3039
- https://doi.org/10.1109/20.34361
Abstract
The derivation of two- and three-dimensional absorbing boundary conditions (ABCs) for mesh truncation in the partial differential equation solution of electromagnetic scattering problems is briefly reviewed. The approximate 2-D ABC is compared with its exact counterpart and ways are suggested by which the ABCs can be improved. A direct application of the Wilcox expansion to the mesh truncation problem that bypasses the ABC altogether is discussed. The question of using a conformal (as opposed to cylindrical) outer boundary is addressed, and the ABC for this geometry is derived for 2-D scattering and guided wave problems.<>Keywords
This publication has 8 references indexed in Scilit:
- Radar scattering from bodies of revolution using an efficient partial differential equation algorithmIEEE Transactions on Antennas and Propagation, 1989
- Absorbing boundary conditions for the vector wave equationMicrowave and Optical Technology Letters, 1988
- Boundary Conditions for the Numerical Solution of Elliptic Equations in Exterior RegionsSIAM Journal on Applied Mathematics, 1982
- Solving the Helmholtz Equation for Exterior Problems with Variable Index of Refraction: ISIAM Journal on Scientific and Statistical Computing, 1980
- A finite element method for exterior interface problemsInternational Journal of Mathematics and Mathematical Sciences, 1980
- Absorbing Boundary Conditions for the Numerical Simulation of WavesMathematics of Computation, 1977
- Finite-Element Solution of Unbounded Field ProblemsIEEE Transactions on Microwave Theory and Techniques, 1972
- An expansion theorem for electromagnetic fieldsCommunications on Pure and Applied Mathematics, 1956