Acceleration of Wavelet-based Method of Moments for Periodic Structures

An alternative definition of the wavelet transform matrix used for the sparsification of the moment matrix in the method of moments (MoM) is developed. In scattering problems, if the scatterer is a finite periodic structure, the moment matrix has a periodic structure. By using the periodicity, we establish a new approach to construct the wavelet transform matrix that yields more efficient sparsification. The scattering of plane waves from finite periodic structures, e.g., linear conductor array, is considered to demonstrate the effectiveness of the proposed method. Numerical results indicate that the proposed method yields a sparser coefficient matrix and achieves more significant saving in CPU time compared to the conventional approach, with sufficiently accurate solutions.