Improved coupled-mode theory for nonlinear directional couplers
An improved coupled-mode equation for nonlinear directional couplers (NLDC) with Kerr-like nonlinear media is proposed. The method is based on the generalized reciprocity relation in which two sets of field solutions satisfying Maxwell's equations are for the NLDC and for the isolated nonlinear...
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| Veröffentlicht in: | IEEE journal of quantum electronics 1991-05, Vol.27 (5), p.1175-1181 |
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| container_title | IEEE journal of quantum electronics |
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| creator | Meng, X.J. Okamoto, N. |
| description | An improved coupled-mode equation for nonlinear directional couplers (NLDC) with Kerr-like nonlinear media is proposed. The method is based on the generalized reciprocity relation in which two sets of field solutions satisfying Maxwell's equations are for the NLDC and for the isolated nonlinear waveguide. That leads to a reasonable result that all the coefficients in the coupled-mode equations, including the coupling coefficient, become power dependent. For the NLDC with a self-focusing or self-defocusing nonlinear material, the authors examine how the coupling coefficient, the coupling length, and the guided power depend on the input power in the range of coupling stronger than in previous reports. It is found that the critical power at which the coupling length becomes infinity does not increase as much with the two guides for the case of self-focusing media.< > |
| doi_str_mv | 10.1109/3.83374 |
| format | Article |
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The method is based on the generalized reciprocity relation in which two sets of field solutions satisfying Maxwell's equations are for the NLDC and for the isolated nonlinear waveguide. That leads to a reasonable result that all the coefficients in the coupled-mode equations, including the coupling coefficient, become power dependent. For the NLDC with a self-focusing or self-defocusing nonlinear material, the authors examine how the coupling coefficient, the coupling length, and the guided power depend on the input power in the range of coupling stronger than in previous reports. It is found that the critical power at which the coupling length becomes infinity does not increase as much with the two guides for the case of self-focusing media.< ></description><identifier>ISSN: 0018-9197</identifier><identifier>EISSN: 1558-1713</identifier><identifier>DOI: 10.1109/3.83374</identifier><identifier>CODEN: IEJQA7</identifier><language>eng</language><publisher>New York, NY: IEEE</publisher><subject>Applied sciences ; Circuit properties ; Directional couplers ; Electric, optical and optoelectronic circuits ; Electronics ; Exact sciences and technology ; H infinity control ; Integrated optics. Optical fibers and wave guides ; Maxwell equations ; Nonlinear equations ; Nonlinear optics ; Optical and optoelectronic circuits ; Optical coupling ; Optical refraction ; Optical variables control ; Optical waveguides ; Refractive index</subject><ispartof>IEEE journal of quantum electronics, 1991-05, Vol.27 (5), p.1175-1181</ispartof><rights>1992 INIST-CNRS</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c332t-afdc3fece8c51688fc4d039a18d90244f07012ec1cbe86f85f4d79591bddc0333</citedby><cites>FETCH-LOGICAL-c332t-afdc3fece8c51688fc4d039a18d90244f07012ec1cbe86f85f4d79591bddc0333</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://ieeexplore.ieee.org/document/83374$$EHTML$$P50$$Gieee$$H</linktohtml><link.rule.ids>314,776,780,792,27901,27902,54733</link.rule.ids><linktorsrc>$$Uhttps://ieeexplore.ieee.org/document/83374$$EView_record_in_IEEE$$FView_record_in_$$GIEEE</linktorsrc><backlink>$$Uhttp://pascal-francis.inist.fr/vibad/index.php?action=getRecordDetail&idt=5005940$$DView record in Pascal Francis$$Hfree_for_read</backlink></links><search><creatorcontrib>Meng, X.J.</creatorcontrib><creatorcontrib>Okamoto, N.</creatorcontrib><title>Improved coupled-mode theory for nonlinear directional couplers</title><title>IEEE journal of quantum electronics</title><addtitle>JQE</addtitle><description>An improved coupled-mode equation for nonlinear directional couplers (NLDC) with Kerr-like nonlinear media is proposed. The method is based on the generalized reciprocity relation in which two sets of field solutions satisfying Maxwell's equations are for the NLDC and for the isolated nonlinear waveguide. That leads to a reasonable result that all the coefficients in the coupled-mode equations, including the coupling coefficient, become power dependent. For the NLDC with a self-focusing or self-defocusing nonlinear material, the authors examine how the coupling coefficient, the coupling length, and the guided power depend on the input power in the range of coupling stronger than in previous reports. It is found that the critical power at which the coupling length becomes infinity does not increase as much with the two guides for the case of self-focusing media.< ></description><subject>Applied sciences</subject><subject>Circuit properties</subject><subject>Directional couplers</subject><subject>Electric, optical and optoelectronic circuits</subject><subject>Electronics</subject><subject>Exact sciences and technology</subject><subject>H infinity control</subject><subject>Integrated optics. Optical fibers and wave guides</subject><subject>Maxwell equations</subject><subject>Nonlinear equations</subject><subject>Nonlinear optics</subject><subject>Optical and optoelectronic circuits</subject><subject>Optical coupling</subject><subject>Optical refraction</subject><subject>Optical variables control</subject><subject>Optical waveguides</subject><subject>Refractive index</subject><issn>0018-9197</issn><issn>1558-1713</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>1991</creationdate><recordtype>article</recordtype><recordid>eNqF0M9LwzAUB_AgCs4pnr31IHrqTJqkTU4iwx-DgRc9hyx5wUjazKQV9t9b7djV0-PxPnx5fBG6JHhBCJZ3dCEobdgRmhHORUkaQo_RDGMiSklkc4rOcv4cV8YEnqH7VbtN8RtsYeKwDWDLNloo-g-IaVe4mIoudsF3oFNhfQLT-9jpsNcpn6MTp0OGi_2co_enx7flS7l-fV4tH9alobTqS-2soQ4MCMNJLYQzzGIqNRFW4ooxhxtMKjDEbEDUTnDHbCO5JBtrDaaUztHNlDt--zVA7lXrs4EQdAdxyKoStG7qWv4PeSWqMXiEtxM0KeacwKlt8q1OO0Ww-m1SUfXX5Civ95E6Gx1c0p3x-cA5xlwyPLKriXkAOFyniB-E_XqV</recordid><startdate>19910501</startdate><enddate>19910501</enddate><creator>Meng, X.J.</creator><creator>Okamoto, N.</creator><general>IEEE</general><general>Institute of Electrical and Electronics Engineers</general><scope>IQODW</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>8FD</scope><scope>H8D</scope><scope>L7M</scope><scope>7SP</scope><scope>7U5</scope></search><sort><creationdate>19910501</creationdate><title>Improved coupled-mode theory for nonlinear directional couplers</title><author>Meng, X.J. ; Okamoto, N.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c332t-afdc3fece8c51688fc4d039a18d90244f07012ec1cbe86f85f4d79591bddc0333</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>1991</creationdate><topic>Applied sciences</topic><topic>Circuit properties</topic><topic>Directional couplers</topic><topic>Electric, optical and optoelectronic circuits</topic><topic>Electronics</topic><topic>Exact sciences and technology</topic><topic>H infinity control</topic><topic>Integrated optics. Optical fibers and wave guides</topic><topic>Maxwell equations</topic><topic>Nonlinear equations</topic><topic>Nonlinear optics</topic><topic>Optical and optoelectronic circuits</topic><topic>Optical coupling</topic><topic>Optical refraction</topic><topic>Optical variables control</topic><topic>Optical waveguides</topic><topic>Refractive index</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Meng, X.J.</creatorcontrib><creatorcontrib>Okamoto, N.</creatorcontrib><collection>Pascal-Francis</collection><collection>CrossRef</collection><collection>Technology Research Database</collection><collection>Aerospace Database</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>Electronics & Communications Abstracts</collection><collection>Solid State and Superconductivity Abstracts</collection><jtitle>IEEE journal of quantum electronics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Meng, X.J.</au><au>Okamoto, N.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Improved coupled-mode theory for nonlinear directional couplers</atitle><jtitle>IEEE journal of quantum electronics</jtitle><stitle>JQE</stitle><date>1991-05-01</date><risdate>1991</risdate><volume>27</volume><issue>5</issue><spage>1175</spage><epage>1181</epage><pages>1175-1181</pages><issn>0018-9197</issn><eissn>1558-1713</eissn><coden>IEJQA7</coden><abstract>An improved coupled-mode equation for nonlinear directional couplers (NLDC) with Kerr-like nonlinear media is proposed. The method is based on the generalized reciprocity relation in which two sets of field solutions satisfying Maxwell's equations are for the NLDC and for the isolated nonlinear waveguide. That leads to a reasonable result that all the coefficients in the coupled-mode equations, including the coupling coefficient, become power dependent. For the NLDC with a self-focusing or self-defocusing nonlinear material, the authors examine how the coupling coefficient, the coupling length, and the guided power depend on the input power in the range of coupling stronger than in previous reports. It is found that the critical power at which the coupling length becomes infinity does not increase as much with the two guides for the case of self-focusing media.< ></abstract><cop>New York, NY</cop><pub>IEEE</pub><doi>10.1109/3.83374</doi><tpages>7</tpages></addata></record> |
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| ispartof | IEEE journal of quantum electronics, 1991-05, Vol.27 (5), p.1175-1181 |
| issn | 0018-9197 1558-1713 |
| language | eng |
| recordid | cdi_proquest_miscellaneous_28367669 |
| source | IEEE Electronic Library (IEL) |
| subjects | Applied sciences Circuit properties Directional couplers Electric, optical and optoelectronic circuits Electronics Exact sciences and technology H infinity control Integrated optics. Optical fibers and wave guides Maxwell equations Nonlinear equations Nonlinear optics Optical and optoelectronic circuits Optical coupling Optical refraction Optical variables control Optical waveguides Refractive index |
| title | Improved coupled-mode theory for nonlinear directional couplers |
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