Optimization Of Holographic Optical Systems By Damped Least Squares And Wavefront Matching Techniques

We have prepared an extensive optimization program for holographic optical systems. The program employs damped least squares algorithm to simultaneously optimize the phase functions of several planar, curved, tilted or decentered holograms. We study the convergence of the damped least squares algorithm in the context of holographic systems, and compare the results to those obtained by the simpler wavefront matching technique. We also discuss the merits of different types of phase functions and demonstrate some limits to which holographic elements can improve system performance. As an example of an optical system containing an optimized holographic element, we consider a tilted spherical mirror used in conjunction with an aberration-correction hologram. Finally, we present a possible fabrication method of the hologram.