A simple 2-D/3-D method for fast analysis of patch resonators with high accuracy

For a patch resonator, a two-dimensional (2-D) planar circuit analysis (mod al or contour integral) has advantages of being simple and fast, However, t his method does not account for perturbation of the fringe fields at the ed ge. A three-dimensional (3-D) analysis such as integral equation moment met hod has the advantage of accounting for the fringe fields at the edge, howe ver the disadvantage of having to long computation time and high truncation error. A better way is to make use of advantages of both and discard the d isadvantages. This is a combined 2-D/3-D method in this paper. This method requires a few seconds of computer time, but gives errors of resonance freq uency only around 0.5%. The errors in general are within the tolerances of presently available analysis and experiments, Field theory reasons accounti ng for such fast convergent and low error results, are explained in this pa per. Numerical examples are given.