Residue number system arithmetic based on integrated nanophotonics (Conference Presentation)

Jiaxin Peng; Shuai Sun; Tarek El-Ghazawi; Volker J. Sorger

doi:10.1117/12.2322079

17 September 2018 Residue number system arithmetic based on integrated nanophotonics (Conference Presentation)

Jiaxin Peng, Shuai Sun, Tarek El-Ghazawi, Volker J. Sorger

Proceedings Volume 10751, Optics and Photonics for Information Processing XII; 107510C (2018) https://doi.org/10.1117/12.2322079
Event: SPIE Optical Engineering + Applications, 2018, San Diego, California, United States

Abstract

Residue number system (RNS) enables dimensionality reduction of an arithmetic problem by representing a large number as a set of smaller integers, where the number is decomposed by prime number factorization. These reduced problem sets can then be processed in- dependently and in parallel, thus improving computational efficiency and speed. Here we show an optical RNS hardware representation based on integrated nanophotonics. The digit-wise shifting in RNS arithmetic is expressed as spatial routing of an optical signal in 2×2 hybrid photonic-plasmonic switches. Here the residue is represented by spatially shifting the input waveguides relative to the routers’ outputs, where the moduli are represented by the number of waveguides. By cascading the photonic 2×2 switches, we design a photonic RNS adder and a multiplier forming an all-to- all sparse directional network. The advantage of this photonic arithmetic processor is the short (10’s ps) computational execution time given by the optical propagation delay through the integrated nanophotonic router. Furthermore, we show how photonic processing in- the-network leverages the natural parallelism of optics such as wavelength-division-multiplexing in this RNS processor. A key application for such a photonic RNS engine is the functional analysis of convolutional neural networks.

Conference Presentation

Citation Download Citation

Jiaxin Peng, Shuai Sun, Tarek El-Ghazawi, and Volker J. Sorger "Residue number system arithmetic based on integrated nanophotonics (Conference Presentation)", Proc. SPIE 10751, Optics and Photonics for Information Processing XII, 107510C (17 September 2018); https://doi.org/10.1117/12.2322079

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available

Members: $17.00

Non-members: $21.00 ADD TO CART

PROCEEDINGS
PRESENTATION

WATCH
PRESENTATION SAVE TO MY LIBRARY

GET CITATION

KEYWORDS

Integrated nanophotonics

Radon

Integrated optics

Switches

Waveguides

Convolutional neural networks

Functional analysis

Show All Keywords

Keywords/Phrases

Search In:

Publication Years