Application of compressed sensing to solution of three-dimensional electromagnetic scattering problems by MoM

With a change in the incident angle, the traditional method of moments (MoM) needs to calculate current coefficients on scatterer's surface each time in solving three-dimensional electromagnetic scattering problems. When solving electromagnetic scattering problems over wide angles, this method takes iterative operations over every angle, the amount of computation is great and the efficiency is low. So the compressed sensing (CS) is introduced into solution of three-dimensional electromagnetic scattering problems over wide angles. Data can be sparely expressed and measured by a sparse transformation basis and a measurement matrix, then each group of current coefficients needed over any incident angle could be reconstructed through these several measurements by a recovery algorithm. In contrast with the traditional MoM, this new method can greatly reduce the computational time and complexity with computation accuracy not to be affected.