Orthogonal bases of smooth local cosines for EM scattering

The Smooth Local Trigonometric (SLT) functions are alternatives to traditional wavelets. The SLT system is more general than the wavelet packet bases, which can only divide the subdomain into dyadic intervals. Employing the SLT as the basis and testing functions in the method of moments (MoM), sparse impedance matrices are obtained. The SLT system is particularly effective for electrically large scatterers, where the integral kernel behaves in a highly oscillatory manner. Numerical examples show good accuracy and efficiency in the solution of scattering of electromagnetic waves from 2D objects.