Numerical analysis of plane wave scattering from a cylindrical scatterer with edge points by the mode matching method—the h‐wave case

Abstract

AbstractA mode matching algorithm with a second‐order smoothing process is proposed for accurate and efficient analysis of H‐wave scattering from a cylindrical body with edge points in the resonant region. the smoothing process is a method for transforming the boundary condition for the wave function to a smoother one by way of an indefinite integral. Since the smoothed condition can more easily be satisfied than the original boundary condition, convergence of the approximate wave function series by modal expansion can be accelerated by the smoothing process. In H‐type scattering problems, the first‐order indefinite integral can be evaluated by the conventional smoothing process without considering the existence of edge points. However, since convergence of the mode matching solution with the smoothing process is not fast enough, accurate solutions are difficult to obtain. Hence, second‐order smoothing is used in this paper. In this case, even for H‐type problems, the algorithm has to rely on the singular smoothing technique considering the edge point. Therefore, the algorithm becomes a mode matching technique in which the conventional smoothing and singular smoothing are combined. to find the effectiveness of the method, the problem of plane wave scattering by a conducting rectangular cylinder is numerically calculated. It is found that significant improvement is achieved in accuracy of the solution.