A Fast Calculation of Impedances of Dipoles near Cylindrical Structure by Applying Asymptotic Waveform Evaluation in a Spectrum of 2D Solutions

Journal article, 2004

A spectrum of 2D solutions (S2DS) applies the Fourier transform to 3D currents in the uniform direction of a 2D cylindrical structure to arrive into a spectral-domain problem which can be solved by 2D spatial techniques. In order to calculate the near fields that are needed for the calculation of impedance, the inverse Fourier transform must be performed. This usually requires a large number of 2D solutions in the spectral domain. By using the asymptotic waveform evaluation (AWE) method in S2DS, the inverse Fourier transform can be performed very efficiently, with only several 2D solutions in the spectral domain. This paper presents the fast calculation of the impedance of a dipole in the vicinity of a 2D cylindrical structure. The cases presented in this paper show that the calculation is accelerated seven times more than by using the direct S2DS method.