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 (modal or contour integral) has advantages of being simple and fast. However, this method does not account for perturbation of the fringe fields at the edge. A three-dimensional (3-D) analysis such as integral equation moment method has the advantage of accounting for the fringe fields at the edge, however, 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 disadvantages. The result is the combined 2-D/3-D method described in this paper. This method requires a few seconds of computer time, but gives errors of resonance frequency only around 0.5%. The errors in general are within the tolerances of presently available analysis and experiments. Field theory reasons accounting for such fast convergent and low error results, are explained and numerical examples are given.