Hankel transform domain analysis of dual-frequency stacked circular microstrip antennas

This paper presents an accurate and efficient method for the computation of resonant frequencies and radiation patterns of a dual-frequency stacked circular microstrip antenna. The problem is first formulated using the Hankel transform domain approach and expressions are obtained for the Green's function in the Hankel transform domain, which relates the electric surface currents on the circular disks and tangential electric field components on the surfaces of the substrates. Then Galerkin's method together with Parsebal's relation for Hankel transformation is used to solve for the unknown currents. In the derivation process, the resonant frequencies are numerically determined as a function of the radii of two circular disks and thicknesses and relative permittivies of two substrates. Finally, the far-zone radiation patterns are directly obtained from the Green's function and the currents. The numerical results for the resonant frequencies and radiation patterns are in excellent agreement with the available experimental data corroborating the accuracy of the present method.