Analytical Solution of Bessel Integrals in Electromagnetics

Abstract

The electromagnetic study of cylindrical structures involves the resolution of the wave equation in cylindrical coordinates, whose solutions are the well-known Bessel functions. Many research fields in electromagnetics such as scattering, diffraction and resonators use Bessel functions and they must be integrated in order to apply boundary conditions and orthogonality of basis functions. These integrals are solved many times applying numerical methods, but some of them have analytical solution, which is exact against numerical method that presents limited precision and spends high computational time. In this work, the most important analytical integrals of Bessel functions for electromagnetics are provided. Some of them have been obtained from the literature to perform a review, while others are provided here for the first time.