Fast Wideband Electromagnetic Analysis Using the Interpolation Technique and Fast Generating Matrix Method

─ A fast wideband electromagnetic scattering analysis method based on the interpolation technique and fast generating matrix method is proposed. By factoring out the dominant phase term, the matrix element is transformed into the element which fluctuates slowly with frequency. The matrices over the frequency band are fast generated via interpolation technique. Instead of employing different meshing grids at different frequencies, this new method requires only one mesh generated at the highest frequency of the given bandwidth. This approach not only saves much work in geometrical modeling but also leads to less time for wideband scattering problem. The proposed algorithm is implemented in the platform of FGG-FG-FFT, which is not sensitive to both the grid spacing and the expansion order. A method for fast generating matrix also is introduced to speed up filling the near matrix. Consequently, it can not only reduce the impedance matrix filling time in the whole frequency band but also accelerate the matrix filling process at frequency interpolation sampling points. Several numerical examples are provided to demonstrate the correctness and the efficiency of the proposed method for the wideband scattering analysis. Index Terms ─ Electromagnetic scattering, FGG-FG-FFT, frequency sweeps, interpolation technique, near matrix.