Transverse Effects and Noise in Optical Instabilities

Transverse Effects and Noise in Optical Instabilities

We analyse the simplest model that describes the dynamics of a two-level, optically bistable system in a ring cavity, and incorporates a Gaussian radial variation of the electric field. We find that the most favourable situation to achieve self-pulsing instabilities is that of atomic and cavity detu...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Philosophical transactions of the Royal Society of London. Series A: Mathematical and physical sciences 1984-12, Vol.313 (1525), p.291-297
Hauptverfasser: Lugiato, L. A., Horowicz, R. J., Strini, G., Narducci, L. M.
Format: Artikel
Sprache:eng
Schlagworte:
Circles
Electric fields
Lasers
Modeling
Optical bistability
Optics
Quadrants
Resonance
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
container_end_page 297
container_issue 1525
container_start_page 291
container_title Philosophical transactions of the Royal Society of London. Series A: Mathematical and physical sciences
container_volume 313
creator Lugiato, L. A.
Horowicz, R. J.
Strini, G.
Narducci, L. M.
description We analyse the simplest model that describes the dynamics of a two-level, optically bistable system in a ring cavity, and incorporates a Gaussian radial variation of the electric field. We find that the most favourable situation to achieve self-pulsing instabilities is that of atomic and cavity detunings with opposite sign. The results are compared with those of plane-wave theory. We show that noise plays a primary role at the onset of self-oscillatory instabilities, and that its effects are governed by an equation formally identical to the Risken equation for the laser.
doi_str_mv 10.1098/rsta.1984.0109
format Article
fullrecord <record><control><sourceid>jstor_proqu</sourceid><recordid>TN_cdi_proquest_miscellaneous_24479935</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><jstor_id>37631</jstor_id><sourcerecordid>37631</sourcerecordid><originalsourceid>FETCH-LOGICAL-c506t-9a8700546473c65d8fffe39d02310a47efa17ea848637ab06b06f3722d2b27093</originalsourceid><addsrcrecordid>eNp9UEtv1DAQthBIlIUrB0459ZbFb8cnVFVtqVS1AhbEbeRN7NbbNEltp2X59TgbVGmFqGTJHs_3mPkQek_wkmBdfQwxmSXRFV_iXL9AB4QrUlIt6cv8ZpKXArOfr9GbGDcYEyIFPUBiFUwXH2yItjhxztYpFqZrisve5x_fFVdD8rVpi_Muy69965O38S165Uwb7bu_9wJ9Pz1ZHX8uL67Ozo-PLspaYJlKbSqFseCSK1ZL0VQuOzDdYMoINlxZZ4iypuKVZMqssczHMUVpQ9dUYc0W6HDWHUJ_P9qY4M7H2rat6Ww_RqCcK62ZyMDlDKxDH2OwDobg70zYAsEwpQNTOjClA1M6mcBmQui3eYO-9jZtYdOPocvl_1nxOdbXb6sjohl_YIR5IqgAXOVNORZMw28_7OQmAGQA-BhHCzvYvs2_rh9m101MfXjajCmZZRaonJs-JvvrqWnCLUjFlIAfWeZMX55K_UWDzHg842_89c2jDxb2dsnFkM2n-XaTUT1ZfHqWMk1b912yXdojghvbFobGsT_Ags0u</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>24479935</pqid></control><display><type>article</type><title>Transverse Effects and Noise in Optical Instabilities</title><source>JSTOR Mathematics &amp; Statistics</source><source>JSTOR Archive Collection A-Z Listing</source><creator>Lugiato, L. A. ; Horowicz, R. J. ; Strini, G. ; Narducci, L. M.</creator><creatorcontrib>Lugiato, L. A. ; Horowicz, R. J. ; Strini, G. ; Narducci, L. M.</creatorcontrib><description>We analyse the simplest model that describes the dynamics of a two-level, optically bistable system in a ring cavity, and incorporates a Gaussian radial variation of the electric field. We find that the most favourable situation to achieve self-pulsing instabilities is that of atomic and cavity detunings with opposite sign. The results are compared with those of plane-wave theory. We show that noise plays a primary role at the onset of self-oscillatory instabilities, and that its effects are governed by an equation formally identical to the Risken equation for the laser.</description><identifier>ISSN: 1364-503X</identifier><identifier>ISSN: 0080-4614</identifier><identifier>EISSN: 1471-2962</identifier><identifier>EISSN: 2054-0272</identifier><identifier>DOI: 10.1098/rsta.1984.0109</identifier><language>eng</language><publisher>London: The Royal Society</publisher><subject>Circles ; Electric fields ; Lasers ; Modeling ; Optical bistability ; Optics ; Quadrants ; Resonance</subject><ispartof>Philosophical transactions of the Royal Society of London. Series A: Mathematical and physical sciences, 1984-12, Vol.313 (1525), p.291-297</ispartof><rights>Copyright 1984 The Royal Society</rights><rights>Scanned images copyright © 2017, Royal Society</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c506t-9a8700546473c65d8fffe39d02310a47efa17ea848637ab06b06f3722d2b27093</citedby><cites>FETCH-LOGICAL-c506t-9a8700546473c65d8fffe39d02310a47efa17ea848637ab06b06f3722d2b27093</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://www.jstor.org/stable/pdf/37631$$EPDF$$P50$$Gjstor$$H</linktopdf><linktohtml>$$Uhttps://www.jstor.org/stable/37631$$EHTML$$P50$$Gjstor$$H</linktohtml><link.rule.ids>315,781,785,804,833,27929,27930,58022,58026,58255,58259</link.rule.ids></links><search><creatorcontrib>Lugiato, L. A.</creatorcontrib><creatorcontrib>Horowicz, R. J.</creatorcontrib><creatorcontrib>Strini, G.</creatorcontrib><creatorcontrib>Narducci, L. M.</creatorcontrib><title>Transverse Effects and Noise in Optical Instabilities</title><title>Philosophical transactions of the Royal Society of London. Series A: Mathematical and physical sciences</title><addtitle>Phil. Trans. R. Soc. Lond. A</addtitle><addtitle>Phil. Trans. R. Soc. Lond. A</addtitle><description>We analyse the simplest model that describes the dynamics of a two-level, optically bistable system in a ring cavity, and incorporates a Gaussian radial variation of the electric field. We find that the most favourable situation to achieve self-pulsing instabilities is that of atomic and cavity detunings with opposite sign. The results are compared with those of plane-wave theory. We show that noise plays a primary role at the onset of self-oscillatory instabilities, and that its effects are governed by an equation formally identical to the Risken equation for the laser.</description><subject>Circles</subject><subject>Electric fields</subject><subject>Lasers</subject><subject>Modeling</subject><subject>Optical bistability</subject><subject>Optics</subject><subject>Quadrants</subject><subject>Resonance</subject><issn>1364-503X</issn><issn>0080-4614</issn><issn>1471-2962</issn><issn>2054-0272</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>1984</creationdate><recordtype>article</recordtype><recordid>eNp9UEtv1DAQthBIlIUrB0459ZbFb8cnVFVtqVS1AhbEbeRN7NbbNEltp2X59TgbVGmFqGTJHs_3mPkQek_wkmBdfQwxmSXRFV_iXL9AB4QrUlIt6cv8ZpKXArOfr9GbGDcYEyIFPUBiFUwXH2yItjhxztYpFqZrisve5x_fFVdD8rVpi_Muy69965O38S165Uwb7bu_9wJ9Pz1ZHX8uL67Ozo-PLspaYJlKbSqFseCSK1ZL0VQuOzDdYMoINlxZZ4iypuKVZMqssczHMUVpQ9dUYc0W6HDWHUJ_P9qY4M7H2rat6Ww_RqCcK62ZyMDlDKxDH2OwDobg70zYAsEwpQNTOjClA1M6mcBmQui3eYO-9jZtYdOPocvl_1nxOdbXb6sjohl_YIR5IqgAXOVNORZMw28_7OQmAGQA-BhHCzvYvs2_rh9m101MfXjajCmZZRaonJs-JvvrqWnCLUjFlIAfWeZMX55K_UWDzHg842_89c2jDxb2dsnFkM2n-XaTUT1ZfHqWMk1b912yXdojghvbFobGsT_Ags0u</recordid><startdate>19841218</startdate><enddate>19841218</enddate><creator>Lugiato, L. A.</creator><creator>Horowicz, R. J.</creator><creator>Strini, G.</creator><creator>Narducci, L. M.</creator><general>The Royal Society</general><scope>BSCLL</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>8FD</scope><scope>H8D</scope><scope>L7M</scope></search><sort><creationdate>19841218</creationdate><title>Transverse Effects and Noise in Optical Instabilities</title><author>Lugiato, L. A. ; Horowicz, R. J. ; Strini, G. ; Narducci, L. M.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c506t-9a8700546473c65d8fffe39d02310a47efa17ea848637ab06b06f3722d2b27093</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>1984</creationdate><topic>Circles</topic><topic>Electric fields</topic><topic>Lasers</topic><topic>Modeling</topic><topic>Optical bistability</topic><topic>Optics</topic><topic>Quadrants</topic><topic>Resonance</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Lugiato, L. A.</creatorcontrib><creatorcontrib>Horowicz, R. J.</creatorcontrib><creatorcontrib>Strini, G.</creatorcontrib><creatorcontrib>Narducci, L. M.</creatorcontrib><collection>Istex</collection><collection>CrossRef</collection><collection>Technology Research Database</collection><collection>Aerospace Database</collection><collection>Advanced Technologies Database with Aerospace</collection><jtitle>Philosophical transactions of the Royal Society of London. Series A: Mathematical and physical sciences</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Lugiato, L. A.</au><au>Horowicz, R. J.</au><au>Strini, G.</au><au>Narducci, L. M.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Transverse Effects and Noise in Optical Instabilities</atitle><jtitle>Philosophical transactions of the Royal Society of London. Series A: Mathematical and physical sciences</jtitle><stitle>Phil. Trans. R. Soc. Lond. A</stitle><addtitle>Phil. Trans. R. Soc. Lond. A</addtitle><date>1984-12-18</date><risdate>1984</risdate><volume>313</volume><issue>1525</issue><spage>291</spage><epage>297</epage><pages>291-297</pages><issn>1364-503X</issn><issn>0080-4614</issn><eissn>1471-2962</eissn><eissn>2054-0272</eissn><abstract>We analyse the simplest model that describes the dynamics of a two-level, optically bistable system in a ring cavity, and incorporates a Gaussian radial variation of the electric field. We find that the most favourable situation to achieve self-pulsing instabilities is that of atomic and cavity detunings with opposite sign. The results are compared with those of plane-wave theory. We show that noise plays a primary role at the onset of self-oscillatory instabilities, and that its effects are governed by an equation formally identical to the Risken equation for the laser.</abstract><cop>London</cop><pub>The Royal Society</pub><doi>10.1098/rsta.1984.0109</doi><tpages>7</tpages></addata></record>
fulltext fulltext
identifier ISSN: 1364-503X
ispartof Philosophical transactions of the Royal Society of London. Series A: Mathematical and physical sciences, 1984-12, Vol.313 (1525), p.291-297
issn 1364-503X
0080-4614
1471-2962
2054-0272
language eng
recordid cdi_proquest_miscellaneous_24479935
source JSTOR Mathematics & Statistics; JSTOR Archive Collection A-Z Listing
subjects Circles
Electric fields
Lasers
Modeling
Optical bistability
Optics
Quadrants
Resonance
title Transverse Effects and Noise in Optical Instabilities
url https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2024-12-13T11%3A01%3A08IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-jstor_proqu&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Transverse%20Effects%20and%20Noise%20in%20Optical%20Instabilities&rft.jtitle=Philosophical%20transactions%20of%20the%20Royal%20Society%20of%20London.%20Series%20A:%20Mathematical%20and%20physical%20sciences&rft.au=Lugiato,%20L.%20A.&rft.date=1984-12-18&rft.volume=313&rft.issue=1525&rft.spage=291&rft.epage=297&rft.pages=291-297&rft.issn=1364-503X&rft.eissn=1471-2962&rft_id=info:doi/10.1098/rsta.1984.0109&rft_dat=%3Cjstor_proqu%3E37631%3C/jstor_proqu%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_pqid=24479935&rft_id=info:pmid/&rft_jstor_id=37631&rfr_iscdi=true