Journal ArticleDOI
Matrix multiplication using incoherent optical techniques.
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TLDR
The use of incoherent electrooptical analog methods for performing matrix-vector multiplication and a technique for encoding the matrix information on a two-dimensional binary optical transparency by means of an area modulation scheme are described.Abstract:
The use of incoherent electrooptical analog methods for performing matrix-vector multiplication has been investigated mathematically. A technique for encoding the matrix information on a two-dimensional binary optical transparency by means of an area modulation scheme is described. The one-dimensional discrete finite Fourier transform, viewed from the standpoint of matrix-vector multiplication, has been performed experimentally to demonstrate feasibility. Matrix and vector array sizes employed were 33 × 33 and 33 × 1, respectively. The average value of the correlation coefficients between theoretically derived and experimental data was found to be 0.95.read more
Citations
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Journal ArticleDOI
Fully parallel, high-speed incoherent optical method for performing discrete Fourier transforms.
TL;DR: An incoherent optical data-processing method is described, which has the potential for performing discrete Fourier transforms of short length at rates far exceeding those afforded by both special-purpose digital hardware and representative coherent optical processors.
Journal ArticleDOI
Digital optical computing
A.A. Sawchuk,T.C. Strand +1 more
TL;DR: The paper begins with a review of analog, discrete, and binary methods of representing information in a computer, followed by a survey of many techniques for implementing binary combinatorial and sequential logic functions with individual optical devices and arrays of devices.
Journal ArticleDOI
Programmable phase-change metasurfaces on waveguides for multimode photonic convolutional neural network.
TL;DR: In this article, a multimode photonic computing core consisting of an array of programable mode converters based on on-waveguide metasurfaces made of phase-change materials is demonstrated.
Journal ArticleDOI
Programmable Phase-change Metasurfaces on Waveguides for Multimode Photonic Convolutional Neural Network
TL;DR: A phase-change metasurface mode converter is demonstrated, which can be programmed to control the waveguide mode contrast, and an optical convolutional neural network is built to perform image processing tasks with high accuracy.
PatentDOI
Optical matrix-matrix multiplier based on outer product decomposition
TL;DR: An optical matrix multiplier using two linear modulating arrays in which the columns of the first matrix to be multiplied control the modulation of one array and the rows of the second matrix control the other array is described in this paper.
References
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Journal ArticleDOI
Binary Fraunhofer Holograms, Generated by Computer
Adolf W. Lohmann,D. P. Paris +1 more
TL;DR: A theory for binary holograms is developed that is equivalent in terms of image reconstruction with ordinary holograms, proven theoretically and verified experimentally.
Journal ArticleDOI
Complex Spatial Filtering with Binary Masks
B. R. Brown,Adolf W. Lohmann +1 more
TL;DR: Binary holograms yield reconstructed images of a quality equal to that of images obtained from usual holograms of comparable dimensions, and their binary matched filter is suitable for optical character recognition, the same as the usual optical matched filter introduced by Vander Lugt.
Journal ArticleDOI
Computer generated spatial filters for coherent optical data processiing.
Adolf W. Lohmann,D. P. Paris +1 more
TL;DR: This work shows that their filters, despite containing only amplitude values zero and one, can perform any data processing operation which could be performed by any complex filter.
Journal ArticleDOI
Matrix multiplication by optical methods.
TL;DR: The utilization of coherent optical correlation techniques in the performance of matrix multiplication by-optical analog methods has been investigated mathematically and methods of isolating the desired from the undesired terms are presented.
Journal ArticleDOI
An Optical Incoherent Correlator
TL;DR: In this paper, a technique for cross-correlating a one-dimensional input signal with a library of stored reference signals simultaneously is discussed, which involves the linear scanning of a temporally modulated image of a photographic reference mask across a temporal-integrating read-out device.