Application of the Rotating Angle Parabolic Equation Method for the Solution of Scattering Problems

Abstract

In this paper the rotating angle parabolic equation method (PEM) is presented for the solution of scattering problems. Separate spectral domains for the incident and scattered fields are obtained and their sum is substituted into the wave equation. Considering the satisfaction of wave equation by the incident and scattered fields, the solution of wave equation changes into the solution of two separate parabolic equations for the incident and scattered fields. The paper continues with the development of an algorithm for the determination of back scattered fields from knife edges and scattered fields from the slope and slope discontinuities. It will be seen that the results of the proposed algorithm agree with those of other methods for the solution of aforementioned problems.