OPTICAL COMPUTING SYSTEMS, MATERIALS, AND DEVICES

Fundamental properties of spatial light modulators for the approximate optical computation of Fourier transforms: a review

[+] Author Affiliations
Robert W. Cohn

University of Louisville, ElectroOptics Research Institute and Nanotechnology Center, Lutz Hall, Room 442, Brook and Warnock, Louisville, Kentucky?40292 E-mail: rwcohn@louisville.edu

Opt. Eng. 40(11), 2452-2463 (Nov 01, 2001). doi:10.1117/1.1409336
History: Received Feb. 5, 2001; Revised July 19, 2001; Accepted July 20, 2001
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The performance of optical computers that include programmable Fourier optics depends intimately both on the physical characteristics of the particular spatial light modulator (SLM) and on the particular algorithms that map the ideal signal into the available modulation range of the SLM. Since practical affordable SLMs represent only a limited range of values in the complex plane (e.g., phase-only or quantized phase), numerous approaches have been reported to represent, approximate, encode or map complex values onto the available SLM states. The best approach depends on the space-bandwidth product (SBWP) of the signal, number of SLM pixels, computation time of encoding, the required response time of the application, and the resulting performance of the optical computer. My review of various methods, as applied to most current SLMs, which have a relatively low number of high cost pixels, leads me to recommend encoding algorithms that address the entire usable frequency plane and that emphasize the fidelity of the approximated Fourier transform over maximization of diffraction efficiency and minimization of approximation error. Frequency-dependent diffraction efficiency (due to pixel fill factor of discrete SLMs or resolution of spatially continuous SLMs) is also evaluated as a factor that can limit usable SBWP and possibly modify the choice of encoding method. © 2001 Society of Photo-Optical Instrumentation Engineers.

© 2001 Society of Photo-Optical Instrumentation Engineers

Citation

Robert W. Cohn
"Fundamental properties of spatial light modulators for the approximate optical computation of Fourier transforms: a review", Opt. Eng. 40(11), 2452-2463 (Nov 01, 2001). ; http://dx.doi.org/10.1117/1.1409336


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