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Extended-SDIM: An efficient technique for rigorous evaluation of electromagnetic scattering by a 2D rough surface

We present the Extended-Sub-domain Decomposition Iterative Method (E-SDIM), as the generalization of the SDIM, in order to rigorously solve the problem of electromagnetic scattering by a randomly rough and perfectly conducting 2D surface. An iterative scheme is used to efficiently solve the linear system resulting from the discretization, by the Method of Moments (MoM), of the Electric Field Integral Equation (EFIE). Thanks to the block decomposition of the surface, the self and inter block interactions are respectively represented by the impedance and coupling matrices. The coupling matrices are compressed using the Adaptive Cross Approximation (ACA) algorithm in order to accelerate the matrix-vector products and reduce the need for memory space.