The design of plane Fresnel zone plates, and binary-staircase kinoforms, has been analyzed in this paper for a non-imaging application aimed to increase the performance of point-like detectors. They maximize the irradiance at the focal point of the diffractive element maintaining some constrains in the lateral size of the element. The design of the binary-staircase kinoform has been described as an iterative process. Some interesting results have been obtained for the values of the relative aperture number, or F/#. The practical case treated here produces elements with very low F/#. The results shows that the gain of the irradiance at the focal point increases with the focal distance of the binary-staircase kinoform, and decreases with the focal length for a plane Fresnel zone plate having a limited lateral size. The calculation of the width of the irradiance distribution makes it possible to select those solutions that best concentrate the irradiance on the focal plane.