Calculation of radiation field integrals for higher-order basis functions in conical thin wire MoM formulation

Abstract

An efficient method of integration for far field calculations is derived. The method applies to the integrals arising from calculation of far field pattern with higher-order polynomial basis functions and moment method. The integral under consideration is a product of a power and exponential functions. Depending on the electrical length of the integration path and the required accuracy, either integration by parts or small parameter expansion is applied, in a recursive manner. The speed performance of a Matlab implementation indicates that the presented method is favourable compared to the commercial software “WIPL-D” used as a reference