On the Patch Antennas Radiation Numerical Modeling with Boundary Integral Equation Method

A mathematical model in which the antenna radiation problem is considered as the scattering problem of the incident field created by the excitation source (antenna port) on the antenna patches is developed. The problem is reduced to a hyper singular integral equation for surface currents. The solution of this integral equation (surface currents) contains also a singularity near the antenna excitation points. These surface currents are presented as the sum of an analytically extracted term, which contains the main singularity, and of unknown additional currents. The unknown additional currents are smooth functions near the excitation points. To solve the integral equation for additional currents, the finite element Galerkin method (method of the RWG type) is applied. So the problem of finding the scattered field and calculating the antenna characteristics using a surface mesh without reducing cells size in the vicinity of the excitation points is solved.