Residue arithmetic processing utilizing optical Fredkin gate arrays

A cascadable residue arithmetic processor based on optical Fredkin gate arrays and page-oriented holographic memories is introduced. The implementations of residue functions and operations by this processor are described. Analytic expressions are derived for the number of holograms and waveguide cha...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Applied Optics 1987-09, Vol.26 (18), p.3940-3946
Hauptverfasser: MIRSALEHI, M. M, SHAMIR, J, CAULFIELD, H. J
Format: Artikel
Sprache:eng
Schlagworte:
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
container_end_page 3946
container_issue 18
container_start_page 3940
container_title Applied Optics
container_volume 26
creator MIRSALEHI, M. M
SHAMIR, J
CAULFIELD, H. J
description A cascadable residue arithmetic processor based on optical Fredkin gate arrays and page-oriented holographic memories is introduced. The implementations of residue functions and operations by this processor are described. Analytic expressions are derived for the number of holograms and waveguide channels required for the implementation of residue addition and multiplication. The practical cases of 16-bit addition and multiplication are analyzed as specific examples. It is shown that, using the proposed architecture, these operations can be implemented with state-of-the-art technologies in holography and integrated optics.
doi_str_mv 10.1364/AO.26.003940
format Article
fullrecord <record><control><sourceid>proquest_cross</sourceid><recordid>TN_cdi_proquest_miscellaneous_733554155</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>733554155</sourcerecordid><originalsourceid>FETCH-LOGICAL-c319t-b5ccabd31ce717eb31de3c43dd3146fcbf0eeec1650c928339c036db361f0ed13</originalsourceid><addsrcrecordid>eNo9kM1LAzEQxYMotlZvnmUPghe3JjubbHMsxapQKIieQzaZrdH9qMnuof71prR6muG93zyGR8g1o1MGIn-Yr6eZmFIKMqcnZMw4yDTnWXZKxjSqqZDAR-QihE9KWTYT8pyMMppLykQxJotXDM4OmGjv-o8Ge2eSre8MhuDaTTL0rnY_-63bRkvXydKj_XJtstH9_sjrXbgkZ5WuA14d54S8Lx_fFs_pav30spivUgNM9mnJjdGlBWawYAWWwCyCycFGKReVKSuKiIYJTo3MZgDSUBC2BMGiYxlMyN0hNz74PWDoVeOCwbrWLXZDUAUA5znjPJL3B9L4LgSPldp612i_U4yqfWtqvlaZUIfWIn5zDB7KBu0__FdTBG6PgA6xhMrr1rjwzxWzvJCMwi8DnnT7</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>733554155</pqid></control><display><type>article</type><title>Residue arithmetic processing utilizing optical Fredkin gate arrays</title><source>Alma/SFX Local Collection</source><source>Optica Publishing Group Journals</source><creator>MIRSALEHI, M. M ; SHAMIR, J ; CAULFIELD, H. J</creator><creatorcontrib>MIRSALEHI, M. M ; SHAMIR, J ; CAULFIELD, H. J</creatorcontrib><description>A cascadable residue arithmetic processor based on optical Fredkin gate arrays and page-oriented holographic memories is introduced. The implementations of residue functions and operations by this processor are described. Analytic expressions are derived for the number of holograms and waveguide channels required for the implementation of residue addition and multiplication. The practical cases of 16-bit addition and multiplication are analyzed as specific examples. It is shown that, using the proposed architecture, these operations can be implemented with state-of-the-art technologies in holography and integrated optics.</description><identifier>ISSN: 0003-6935</identifier><identifier>ISSN: 1559-128X</identifier><identifier>EISSN: 1539-4522</identifier><identifier>DOI: 10.1364/AO.26.003940</identifier><identifier>PMID: 20490167</identifier><identifier>CODEN: APOPAI</identifier><language>eng</language><publisher>Washington, DC: Optical Society of America</publisher><subject>Applied sciences ; Exact sciences and technology ; Other techniques and industries</subject><ispartof>Applied Optics, 1987-09, Vol.26 (18), p.3940-3946</ispartof><rights>1988 INIST-CNRS</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c319t-b5ccabd31ce717eb31de3c43dd3146fcbf0eeec1650c928339c036db361f0ed13</citedby><cites>FETCH-LOGICAL-c319t-b5ccabd31ce717eb31de3c43dd3146fcbf0eeec1650c928339c036db361f0ed13</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>314,780,784,27923,27924</link.rule.ids><backlink>$$Uhttp://pascal-francis.inist.fr/vibad/index.php?action=getRecordDetail&amp;idt=7847910$$DView record in Pascal Francis$$Hfree_for_read</backlink><backlink>$$Uhttps://www.ncbi.nlm.nih.gov/pubmed/20490167$$D View this record in MEDLINE/PubMed$$Hfree_for_read</backlink></links><search><creatorcontrib>MIRSALEHI, M. M</creatorcontrib><creatorcontrib>SHAMIR, J</creatorcontrib><creatorcontrib>CAULFIELD, H. J</creatorcontrib><title>Residue arithmetic processing utilizing optical Fredkin gate arrays</title><title>Applied Optics</title><addtitle>Appl Opt</addtitle><description>A cascadable residue arithmetic processor based on optical Fredkin gate arrays and page-oriented holographic memories is introduced. The implementations of residue functions and operations by this processor are described. Analytic expressions are derived for the number of holograms and waveguide channels required for the implementation of residue addition and multiplication. The practical cases of 16-bit addition and multiplication are analyzed as specific examples. It is shown that, using the proposed architecture, these operations can be implemented with state-of-the-art technologies in holography and integrated optics.</description><subject>Applied sciences</subject><subject>Exact sciences and technology</subject><subject>Other techniques and industries</subject><issn>0003-6935</issn><issn>1559-128X</issn><issn>1539-4522</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>1987</creationdate><recordtype>article</recordtype><recordid>eNo9kM1LAzEQxYMotlZvnmUPghe3JjubbHMsxapQKIieQzaZrdH9qMnuof71prR6muG93zyGR8g1o1MGIn-Yr6eZmFIKMqcnZMw4yDTnWXZKxjSqqZDAR-QihE9KWTYT8pyMMppLykQxJotXDM4OmGjv-o8Ge2eSre8MhuDaTTL0rnY_-63bRkvXydKj_XJtstH9_sjrXbgkZ5WuA14d54S8Lx_fFs_pav30spivUgNM9mnJjdGlBWawYAWWwCyCycFGKReVKSuKiIYJTo3MZgDSUBC2BMGiYxlMyN0hNz74PWDoVeOCwbrWLXZDUAUA5znjPJL3B9L4LgSPldp612i_U4yqfWtqvlaZUIfWIn5zDB7KBu0__FdTBG6PgA6xhMrr1rjwzxWzvJCMwi8DnnT7</recordid><startdate>19870915</startdate><enddate>19870915</enddate><creator>MIRSALEHI, M. M</creator><creator>SHAMIR, J</creator><creator>CAULFIELD, H. J</creator><general>Optical Society of America</general><scope>IQODW</scope><scope>NPM</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7X8</scope></search><sort><creationdate>19870915</creationdate><title>Residue arithmetic processing utilizing optical Fredkin gate arrays</title><author>MIRSALEHI, M. M ; SHAMIR, J ; CAULFIELD, H. J</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c319t-b5ccabd31ce717eb31de3c43dd3146fcbf0eeec1650c928339c036db361f0ed13</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>1987</creationdate><topic>Applied sciences</topic><topic>Exact sciences and technology</topic><topic>Other techniques and industries</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>MIRSALEHI, M. M</creatorcontrib><creatorcontrib>SHAMIR, J</creatorcontrib><creatorcontrib>CAULFIELD, H. J</creatorcontrib><collection>Pascal-Francis</collection><collection>PubMed</collection><collection>CrossRef</collection><collection>MEDLINE - Academic</collection><jtitle>Applied Optics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>MIRSALEHI, M. M</au><au>SHAMIR, J</au><au>CAULFIELD, H. J</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Residue arithmetic processing utilizing optical Fredkin gate arrays</atitle><jtitle>Applied Optics</jtitle><addtitle>Appl Opt</addtitle><date>1987-09-15</date><risdate>1987</risdate><volume>26</volume><issue>18</issue><spage>3940</spage><epage>3946</epage><pages>3940-3946</pages><issn>0003-6935</issn><issn>1559-128X</issn><eissn>1539-4522</eissn><coden>APOPAI</coden><abstract>A cascadable residue arithmetic processor based on optical Fredkin gate arrays and page-oriented holographic memories is introduced. The implementations of residue functions and operations by this processor are described. Analytic expressions are derived for the number of holograms and waveguide channels required for the implementation of residue addition and multiplication. The practical cases of 16-bit addition and multiplication are analyzed as specific examples. It is shown that, using the proposed architecture, these operations can be implemented with state-of-the-art technologies in holography and integrated optics.</abstract><cop>Washington, DC</cop><pub>Optical Society of America</pub><pmid>20490167</pmid><doi>10.1364/AO.26.003940</doi><tpages>7</tpages></addata></record>
fulltext fulltext
identifier ISSN: 0003-6935
ispartof Applied Optics, 1987-09, Vol.26 (18), p.3940-3946
issn 0003-6935
1559-128X
1539-4522
language eng
recordid cdi_proquest_miscellaneous_733554155
source Alma/SFX Local Collection; Optica Publishing Group Journals
subjects Applied sciences
Exact sciences and technology
Other techniques and industries
title Residue arithmetic processing utilizing optical Fredkin gate arrays
url https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-11T15%3A01%3A51IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest_cross&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Residue%20arithmetic%20processing%20utilizing%20optical%20Fredkin%20gate%20arrays&rft.jtitle=Applied%20Optics&rft.au=MIRSALEHI,%20M.%20M&rft.date=1987-09-15&rft.volume=26&rft.issue=18&rft.spage=3940&rft.epage=3946&rft.pages=3940-3946&rft.issn=0003-6935&rft.eissn=1539-4522&rft.coden=APOPAI&rft_id=info:doi/10.1364/AO.26.003940&rft_dat=%3Cproquest_cross%3E733554155%3C/proquest_cross%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_pqid=733554155&rft_id=info:pmid/20490167&rfr_iscdi=true