Abstract
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.
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