Arrangement of sources in the charge simulation method - The case of E-wave scattering by one perfectly conducting cylinder of convex cross section shape

The mapping function that transforms the boundary of a scatterer to a unit circle is shown to be applicable to determine the arrangement of the sources and contour points in the charge simulation method. Elliptic cylinders and square cylinders are used to analyze the errors of the boundary condition in the case of plane wave incidence. The charge simulation method with the source arrangement described here is shown to be much more accurate than the arrangement by boundary contraction. The source arrangement minimizing the error does not depend on the number of sources and on the incident angle of the plane wave. When the sources are placed at locations minimizing the error and the number of sources is increased, the error always decreases to between 10 to the -13th and -15th.