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In this communication, the computation of the perturbation-based electric field integral equation of the form ${R^{n-1},~n = 0, 1, 2, \ldots ,}$ is accelerated by using fast Fourier transform (FFT) technique. As an effective solution of the low-frequency problem, the perturbation method employs the Taylor expansion of the scalar Green’s function in free space. However, multiple impedance matrices...
A new highly accurate and efficient coordinate transformation algorithm is proposed for the evaluation of the self-coupling in the Method of Moments (MoM), which produces usually the strongest contributions to the MoM system matrices. The new algorithm provides an effective solution to remove the singularity due to the Green's function inside the self-couplings. Moreover, the new solution reduces...
Electromagnetic scattering by perfect electrically conducting (PEC) objects in a layered medium is studied in this paper. The layered medium Green's function is adopted as the kernel of the electric field integral equation (EFIE) so that the effects from the multilayered background can be accounted for automatically. However, the spectrum of the EFIE with this kernel, is unfortunately undesirable...
In this paper, we apply the fast Fourier transform on the perturbation-based augmented electric field integral equation (A-EFIE). The main idea lies on the Lagrangian interpolation of a series Rn, n = −1, 0, 1, 2, …, obtained by expanding Green's function using Taylor series. By utilizing the Toeplitz property of the Rn on the uniform cartesian grids, the multiplication of expanded kernels in the...
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