We have studied the coupling of a DG method for the discretization of the time-harmonic Maxwell equations with an exact transparent condition for the numerical modeling of electromagnetic wave propagation problems in open domains. Preliminary numerical results in the 2D case have shown that the accuracy of the proposed solution strategy is better than that obtained for transparent boundary conditions of sommerfeld type. The additional cost due to the dense block introduced by the non-local exact TC is largely compensated by the ability to choose the truncation boundary fairly close to the boundary of the obstacle.
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