Architectures And Algorithms For Digital Optical Computing Systems With Applications To Numerical Transforms And Partial Differential Equations

Timothy J. Drabik; Mark A. Title; Sing H. Lee

doi:10.1117/12.963474

9 June 1986 Architectures And Algorithms For Digital Optical Computing Systems With Applications To Numerical Transforms And Partial Differential Equations

Timothy J. Drabik, Mark A. Title, Sing H. Lee

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Proceedings Volume 0625, Optical Computing; (1986) https://doi.org/10.1117/12.963474
Event: O-E/LASE'86 Symposium, 1986, Los Angeles, CA, United States

Abstract

The potential and promise of very high-performance spatial light modulators (SLMs) capable of performing logic operations has motivated the investigation of digital computing systems that possess many desirable attributes of optical systems, namely massive parallelism, global communication at high bandwidths, high reliability, many useful degrees of freedom, robustness in the presence of defects, and simplicity. The parallelism of easily realizable optical single-instruction, multiple-data (SIMD) arrays makes them a natural choice for implementation of highly structured algorithms for the numerical solution of multi-dimensional partial differential equations and the computation of fast numerical transforms. A system comprising several SLMs, an optical read/write memory, and a functional block to perform simple, space-invariant shifts on images has enough flexibility to implement the fastest known methods for partial differential equations (e.g. multi-level methods) as well as a wide variety of numerical transforms (e.g., FFT, Walsh-Hadamard transform, rapid transform), in two or more dimensions, and using either fixed or floating-point arithmetic. Performance is projected at greater than 109 floating-point operations/s using SLMs with resolution 1000 x 1000 operating at 1 MHz frame rates.

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Timothy J. Drabik, Mark A. Title, and Sing H. Lee "Architectures And Algorithms For Digital Optical Computing Systems With Applications To Numerical Transforms And Partial Differential Equations", Proc. SPIE 0625, Optical Computing, (9 June 1986); https://doi.org/10.1117/12.963474

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KEYWORDS

Transform theory

Logic

Spatial light modulators

Optical computing

Binary data

Chemical elements

Optical arrays

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