Accuracy Controllable Method for Oblique Incidence on Bodies of Revolution

In the methods, for solving problems of bodies of revolution (BOR-problems), Fourier series are used to convert an original three-dimensional problem illuminated by plane wave into a series of 2-D problems, which we call Fourier components or harmonic series, illuminated by cylindrical plane waves. When the plane wave illuminates obliquely, the number of Fourier components should be larger than one. The quantitative relationship between this number and the accuracy of the results has not been well established yet. In this paper, a simple and accuracy controllable method based on a partly iterative procedure is proposed, which can be used to determine the number of Fourier components accurately for a desired accuracy of the results with the most economic computational cost. Although this method is introduced through the method of moments, it can work equally well to other numerical methods for solving BOR-problems. The validity of this method is confirmed by several numerical examples.