Accurate and Efficient Evaluation of the Scattering by Bodies of Revolution Based on the Magnetic Field Integral Equation

The integrals arising in magnetic field integral equation (MFIE) can become highly singular, rendering their numerical computation extremely challenging. Here, we propose a technique by which the singular integrals of the MFIE can be accurately and efficiently evaluated. In this technique, the corresponding integrals are separated into singular and regular parts. The regular parts are computed using a very simple Fast Fourier transform, whereas the remaining singular parts are evaluated based on two three-terms recurrence relations. The accuracy of the proposed method is demonstrated by analyzing the scattering of various bodies with smooth or non-smooth geometries and comparing the results with the literature.