Locally corrected Nystrِm method for EM scattering by bodies of revolution

The Nystrِm method allows for high order solutions to integral equations. Modifying the Nystrِm method with local corrections for singular integrands allows the method to be applied to the inherently singular kernels of frequency-domain electromagnetic integral equations. Here the efficiency and high order convergence properties of the Nystrِm method are brought together with the body of revolution (BOR) geometry to create an efficient approach to solving this important class of problems. In this paper we summarize the locally corrected Nystrِm method and the magnetic field integral equation (MFIE) for a BOR scatterer. Results are presented that demonstrate high order convergence and excellent agreement with reference data.