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Hertz dipole radiation pattern and the in-phase half-wave dipole arrays of these radiators have been calculated for the case where the half-wave vibrator is over an in-finite perfectly conducting screen at a height h, and the distance between the transmitters at random lattices and the amplitude distribution of the currents on the grill evenly. The calculations were performed in the whole space of observation. The algorithms and computer programs to calculate CPV investigated radiator s and arrays. It is shown that there is a distance between the radiator s in the sparse grid at which the maximum maximorum CPV (as in the case of gratings in free space). It is shown that when h = 0,25λ the optimal distance between the transmitters than 1.15 wavelength (grating in free space dopt ≈ 0,9 λ).