Optimum focal length range for thin-lenses optical arrays having spatial integration feature

A simple realization of a spatial integrator array is constructed by using individual units composed of two thin lenses. The spatial integration feature depends on the value of the focal distance of one of the lens. This focal lenght, and its relation with the thickness of the individual element is related with the lateral magnification defining the synthetic image given by the array. Although the focal lenght of the other lens can be arbitrarily selected, we have analyzed the optimum range of focal distances that increases the amount of energy falling on the synthetic image. This analysis has been done for spatial integrator arrays having spherical dome configuration and planar configuration. The study has been done both in the paraxial range and by using real ray-tracing tools.