A Wide-Angle Alternate Direction Implicit-Parabolic Equation Method for Electromagnetic Scattering from Electrically Large Targets

The alternate direction implicit scheme is introduced to the wide-angle parabolic equation method for the analysis of electromagnetic scattering from electrically large targets. Modified non-homogeneous boundary conditions are added on the surface of the scattering target. In this way, a marching solution is used along the paraxial direction and the fields in each marching plane can be calculated direction by direction in a parallel manner. The accurate results can be obtained at wider angles than the traditional narrow-angle alternate direction implicit-parabolic equation method within 30 degrees along the paraxial direction by the proposed method. Moreover, encouraging accuracy can be obtained with fewer computing resources than the traditional wide-angle Crank-Nicolson-parabolic equation method. Numerical results are given to demonstrate the validity, stability, and efficiency of the proposed method, and the parallel efficiency is given at the same time.