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In this paper, a theoretical analysis is presented for the numerical scheme in [Lu, 20007]. It is shown that the numerical difficulties associated with cavity Greenpsilas functions around resonances originate from the non-unique solutions within fully-enclosed lossless cavities. As a result, conventional integral equations are not well-posed around cavitiespsila resonant frequencies, and modified...
An analysis of spurious solutions that often plague finite-difference time-domain solvers supplemented with certain transparent boundary conditions (TBC) is presented. It is shown that the electric- and magnetic-field TBC kernels may support undesired spurious modes. A combined-field TBC kernel is proposed that does not allow for the buildup of resonant modes. Its functionality is demonstrated by...
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