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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.

The method of moments is used to analyze the effect of a superstrate on the input impedance of an annular-ring microstrip antenna. Surface current and vertical unit current ae used to model the microstrip patch and the coaxical probe, respectively. The integral equations for the unknown current on the patch are solved by using Galerkin's method applied in the Hankel transform domain. The expression for the input impedance is derived according to the patch current. The numerical results for the input impedance are presented for different values of the thickness and relative permittivity of a superstrate layer. It is shown from the numerical results that the superstrate has an effect of decreasing the resonant frequency and changing the input impedance level.

The effect of the thickness and relative permittivity of a dielectric cover on a rectangular microstrip antenna is analyzed. The method is based upon the integral equation formulation. The input impedance of the rectangular microstrip antenna is calculated as a function of the thickness and relative permittivity of a dielectric cover, after solving the integral equations by Galerkin's method. Computed results for the input impedance are presented and some are compared with the available experimental data. It is shown from the computed results that the resonant frequency and input impedance are sensitive to variations of the cover parameters. Because of the limited bandwidth presented by the rectangular microstrip antenna, the effect of the dielectric cover has to be carefully taken into account in the design of the antenna.