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Title: Computing matrix inversion with optical networks
Authors: Zheludev, Nikolay I.
Wu, Kan
Soci, Cesare
Shum, Perry Ping
Keywords: DRNTU::Science::Physics::Optics and light
DRNTU::Engineering::Electrical and electronic engineering::Optics, optoelectronics, photonics
Issue Date: 2014
Source: Wu, K., Soci, C., Shum, P. P., & Zheludev, N. I. (2014). Computing matrix inversion with optical networks. Optics Express, 22(1), 295-304.
Series/Report no.: Optics express
Abstract: With this paper we bring about a discussion on the computing potential of complex optical networks and provide experimental demonstration that an optical fiber network can be used as an analog processor to calculate matrix inversion. A 3x3 matrix is inverted as a proof-of-concept demonstration using a fiber network containing three nodes and operating at telecomm wavelength. For an NxN matrix, the overall solving time (including setting time of the matrix elements and calculation time of inversion) scales as O(N2), whereas matrix inversion by most advanced computer algorithms requires ~O(N2.37) computational time. For well-conditioned matrices, the error of the inversion performed optically is found to be around 3%, limited by the accuracy of measurement equipment.
ISSN: 1094-4087
DOI: 10.1364/OE.22.000295
Schools: School of Electrical and Electronic Engineering 
School of Mechanical and Aerospace Engineering 
School of Physical and Mathematical Sciences 
Rights: © 2014 Optical Society of America. This paper was published in Optics Express and is made available as an electronic reprint (preprint) with permission of Optical Society of America. The paper can be found at the following official DOI: [].  One print or electronic copy may be made for personal use only. Systematic or multiple reproduction, distribution to multiple locations via electronic or other means, duplication of any material in this paper for a fee or for commercial purposes, or modification of the content of the paper is prohibited and is subject to penalties under law.
Fulltext Permission: open
Fulltext Availability: With Fulltext
Appears in Collections:EEE Journal Articles
MAE Journal Articles
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