Intervallic-wavelet analysis for electromagnetic scattering by thin-wire structures

Electromagnetic (EM) scattering by curved thin-wire structures is solved with intervallic wavelets in the method of moments (MoM). The electrical field integral equation (EFIE) for curved thin-wire structures is formulated based on the generalized Pocklington´s integral equation and the unknown current is expanded using the intervallic Coifman father wavelets as basis functions. Since the Coifman wavelets (Coiflets) possess a unique feature, i.e. the vanishing moments which can yield a Dirac-δ-like sampling property, they are used to construct the intervallic wavelets. By using the intervallic wavelets in the MoM and performing a fast wavelet transform (FWT), sparse impedance matrices can be obtained and the drawbacks of dense matrices are overcome. A typical numerical example is presented to demonstrate the effectiveness of the intervallic-wavelet MoM.