Surface wave diffraction on a grating of metal rods and analysis of a dielectric leaky wave antenna

A numerical-analytical method is proposed for solving the electrodynamic problem of diffraction of the surface H-wave of a dielectric plate on an array consisting of a finite number of thin rod oscillators. For normal wave incidence on the array, the two-dimensional Green function is used to obtain a system of linear algebraic equations for oscillator currents, and expressions are obtained for the diffraction characteristics of the structure. An efficient algorithm is developed for the numerical solution of the problem for the case of a large number of array elements. Calculations are made of the characteristics of a highly directional dielectric leaky wave antenna for the millimeter wavelength range.