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An integral equation method for the electromagnetic scattering from cavities
Author(s) -
Ammari Habib,
Bao Gang,
Wood Aihua W.
Publication year - 2000
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/1099-1476(200008)23:12<1057::aid-mma151>3.0.co;2-6
Subject(s) - mathematics , integral equation , boundary element method , mathematical analysis , uniqueness , maxwell's equations , boundary value problem , scattering , polarization (electrochemistry) , basis (linear algebra) , finite element method , geometry , physics , chemistry , thermodynamics , optics
Consider a time‐harmonic electromagnetic plane wave incident on a cavity in a ground plane. The physical process is modelled by Maxwell's equations. In this paper, integral representations of the solutions to the model problem in both fundamental polarizations are derived and studied. Existence and uniqueness of the solutions for the integral equations are established. The integral equations approach forms a basis for numerical solution of the model problem. In particular, for each fundamental polarization, an integral formulation with Gårding‐type estimates is derived. These formulations provide a basis for variational boundary element methods for solving the cavity problem. The Gårding‐type estimates imply convergence results for conforming boundary element methods. Copyright © 2000 John Wiley & Sons, Ltd