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Iterative boundary condition (IBC) for scattering problems from the two‐point field equation (2PFE)
Author(s) -
Luo YongLun,
Luk KwaiMan
Publication year - 1997
Publication title -
microwave and optical technology letters
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.304
H-Index - 76
eISSN - 1098-2760
pISSN - 0895-2477
DOI - 10.1002/(sici)1098-2760(19970805)15:5<320::aid-mop14>3.0.co;2-9
Subject(s) - boundary value problem , scattering , mathematical analysis , truncation (statistics) , mathematics , finite element method , convergence (economics) , boundary (topology) , iterative method , electromagnetic field , field (mathematics) , computational electromagnetics , physics , mathematical optimization , optics , quantum mechanics , statistics , pure mathematics , economics , thermodynamics , economic growth
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. Microwave Opt Technol Lett 15: 320–328, 1997