CLOSED-FORM HIGH-FREQUENCY SOLUTION FOR THE FIELD RADIATED BY A PATCHON A FINITE SUBSTRATE

A closed form, high-frequency solution is presented for the field radi ated by an electric dipole located upon a rectangular, grounded dielec tric slab. This solution, which is based on a physical optics formulat ion, is given in terms of the geometrical optics field plus ray-diffra cted field contributions from the four edges. These ray-diffracted fie lds are decomposed into space waves, surface waves and leaky waves con tributions. By superimposing the effects of elementary dipoles, the ra diation of a current distribution is obtained, that simulates the effe cts of a patch radiating on a finite grounded substrate. Also, a close d-form solution is derived in the case when the current distribution e xhibits an analytical expression of its Fourier transform. Comparisons with measurements are presented to validate the asymptotic solution.