Malvar wavelet based pocklington equation solutions to thin-wire antennas and scatterers

Malvar wavelets are often referred to as smooth local cosine (SLC) functions. In this paper the SLC functions are employed as the basis and testing functions in the Galerkin-based Method of Moments (MoM) for the Pocklington equation of thin-wire antennas and scatterers. The SLC system has rapid convergence and is particularly suitable to handle electrically large scatterers, where the integral kernel behaves in a highly oscillatory manner. Numerical examples demonstrate the scattering of electromagnetic waves from a thin-wire scatterer as well as wave radiation from the gull-shaped antenna. A comparison of the new approach versus the traditional MoM is provided.

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