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

Juha Fagerholm; Jari Turunen; Eero Byckling

doi:10.1117/12.944121

12 April 1988 Optimization Of Holographic Optical Systems By Damped Least Squares And Wavefront Matching Techniques

Juha Fagerholm, Jari Turunen, Eero Byckling

Proceedings Volume 0883, Holographic Optics: Design and Applications; (1988) https://doi.org/10.1117/12.944121
Event: 1988 Los Angeles Symposium: O-E/LASE '88, 1988, Los Angeles, CA, United States

Abstract

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.

Citation Download Citation

Juha Fagerholm, Jari Turunen, and Eero Byckling "Optimization Of Holographic Optical Systems By Damped Least Squares And Wavefront Matching Techniques", Proc. SPIE 0883, Holographic Optics: Design and Applications, (12 April 1988); https://doi.org/10.1117/12.944121

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