The microstrip patch resonant frequency problem is formulated in terms of an integral equation using vector Fourier transforms. In the spectral space represented by the vector Fourier transforms, the Green's function is diagonal. Using Galerkin's method in solving the integral equation, the resonant frequency of the microstrip patch is studied with both Chebyshev polynomials and sinusoidal functions as basis functions. In the case of the Chebyshev polynomials, the edge singularity is included, but it is not important for convergence. Furthermore, the resonant frequency of the microstrip patch is ascertained with a perturbation calculation. The results for Galerkin's method and experiments are in good agreement. The perturbation calculation agrees asymptotically with Galerkin's method. With the aim of developing a computer-aided design formula, the solutions obtained via Galerkin's method are interpolated with a three-variable polynomial. The polynomial formula can reproduce the solution of the integral equation using Galerkin's method rapidly.
ASJC Scopus subject areas
- Electrical and Electronic Engineering