Simultaneous extrapolation of electromagnetic scattering of multi-wires in time and frequency domains based on Hermite extrapolation

The entirety responses of the induced currents on the wires in both time and frequency domains can be obtained from information of the induced currents. The time-domain response of the induced currents on a scattering object irradiated by a plane wave with a Gaussian pulse in time is expanded as an associate Hermite series in this paper. Using the isomorphism of the associate Hermite function and its Fourier transform, the frequency-domain information can be obtained similar to the time-domain expansion. According to the corresponding relation between time-domain analysis and frequency-domain analysis. and using the early-time response and the low-frequency information of the induced currents, the unknown coefficients in the expansion series can be obtained. The electromagnetic scattering of multi-wires is calculated and analyzed based on the extrapolation methodology in this paper.