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Iterative boundary condition (IBC) for scattering problems from the two-point field equation (2PFE)

Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review

Abstract

The truncation boundary condition is a stumbling block in solving electromagnetic scattering problems by the finite-difference (FD) or finite-element (FE) methods. A simple, exact, and proper boundary condition is always desirable for use in terminating the FD mesh. In this article a novel iterative boundary condition (IBC) is proposed for solving electromagnetic scattering problems by the FD method. This novel boundary condition, expressed by an exact two-point field equation (2PFE) and derived from rigorous analysis of the scattered field or the radiation field, is obtained by an iteration process. The validation of the IBC and the convergence of the iteration processes have been numerically studied. A number of two-dimensional (2D) scattering problems have been successfully solved with IBC. The results agree very well with that obtained by the MoM and the MEI. This novel approach is simple in concept and easy to apply. It can possibly be extended to three-dimensional problems. © 1997 John Wiley & Sons, Inc.
Original languageEnglish
Pages (from-to)320-328
JournalMicrowave and Optical Technology Letters
Volume15
Issue number5
DOIs
Publication statusPublished - 5 Aug 1997

Research Keywords

  • Finite difference
  • Numerical method
  • Scattering

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