Abstract
Time–domain Maxwell's equations are studied for the electromagnetic scattering of plane waves from an arbitrarily shaped cavity filled with nonhomogeneous medium. A transparent boundary condition is introduced to reduce the problem to the bounded cavity. Existence and uniqueness of the model problem are established by a variational approach and the Hodge decomposition. The analysis forms a basis for numerical solution of the model problem.
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Van, T., Wood, A. Analysis of Time–Domain Maxwell's Equations for 3-D Cavities. Advances in Computational Mathematics 16, 211–228 (2002). https://doi.org/10.1023/A:1014489832230
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DOI: https://doi.org/10.1023/A:1014489832230