Analysis of millimeter wave scattering by an electrically large metallic grating using wavelet-based algebratic multigrid preconditioned CG method

An effective wavelet based multigrid preconditioned conjugate gradient meth od is developed to solve electromagnetic large matrix problem for millimete r wave scattering application. By using wavelet transformation we restrict the large matrix equation to a relative smaller matrix and which can be sol ved rapidly. The solution is prolonged as the new improvement for the conju gate gradient (CG) method. Numerical results show that our developed wavele t based multigrid preconditioned CG method can reach large improvement of c omputational complexity. Due to the automaticity of wavelet transformation, this method is potential to be a block box solver without physical backgro und.