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In this paper, the distance between source and field points is divided into ultra-near field region, near field region and far field region for fast and accurately calculating the spatial Green's function. The spatial Green's functions within the three regions are respectively calculated by the Langrage interpolation scheme, the DCIM with surface wave poles being extracted and the SDP with leaky wave...
A method of the multilevel fast multipole algorithm (MLFMA) with the higher order hierarchical vector basis functions is introduced to solve the wideband electromagnetic scattering problems in frequency domain. Instead of employing different meshing grids at different frequencies, this new method requires only one coarse mesh generated at the lowest frequency of the given bandwidth. The scattering...
Expressing the traveling wave phase dependency, the use of PE bases is able to reduce the number of unknowns dramatically, and lead to the sparsification of the impedance matrix, which will be reported in our other paper. Secondly, the PE bases cause better condition number and faster convergence rate in iteration solution because of showing intrinsic property of the induced current. Thirdly, the...
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