A new fast algorithm based on compressive sensing for composite electromagnetic back scattering from a 2D ship located on a 1D rough sea surface

Abstract

As one of the most popular numerical methods, the method of moments (MoM) is known for its high accuracy. Besides, MoM has other advantages. For example, the integral equations satisfy the Sommerfeld radiation condition automatically, the additional boundary conditions are not needed., etc. But if the wide angle problem, especially the composite electromagnetic back scattering from a ship place on sea surface, is considered, the MoM needs to solve the integral equation at every incident angle, which needs a large calculating quantity, and is time consuming. To solve this problem, a new efficient method based on the compressive sensing and the MoM is proposed and validated in this paper. A new incident source derived through multiplying the transform matrix by the voltage matrix is first introduced. And then the measurements of the induced currents can be obtained by solving the integral equation under the new incident source. Finally the original electromagnetic currents can be recovered by using the recovery algorithms (the orthogonal matching pursuit is used in this paper). The validity and the efficiency of the new method are demonstrated by comparing with the traditional MoM.