General ring-resonator analysis and characterization by characteristic matrix
In this paper, a general analysis method for ring resonators is proposed. The method utilizes a characteristic matrix to express the recursive relationship between transfer functions of adjacent-order optical paths, and consequently, the total transfer function. The method provides a new way to expr...
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Veröffentlicht in: | Journal of lightwave technology 2005-02, Vol.23 (2), p.915-922 |
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creator | Wei Chen, Wei Chen Zhipeng Wang, Zhipeng Wang Wenlu Chen, Wenlu Chen Yung-Jui Chen, Yung-Jui Chen |
description | In this paper, a general analysis method for ring resonators is proposed. The method utilizes a characteristic matrix to express the recursive relationship between transfer functions of adjacent-order optical paths, and consequently, the total transfer function. The method provides a new way to express Mason's rule in general. At the same time, it greatly simplifies the expression in the ring-resonator case. The method can be used to synthesize any ring-resonator devices. In addition, as individual optical paths' transfer functions are derived in this process, the formulas can be applied to incoherent interferometric measurements and can characterize the device parameters of fabricated complex ring-resonator circuits. |
doi_str_mv | 10.1109/JLT.2004.838858 |
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The method utilizes a characteristic matrix to express the recursive relationship between transfer functions of adjacent-order optical paths, and consequently, the total transfer function. The method provides a new way to express Mason's rule in general. At the same time, it greatly simplifies the expression in the ring-resonator case. The method can be used to synthesize any ring-resonator devices. In addition, as individual optical paths' transfer functions are derived in this process, the formulas can be applied to incoherent interferometric measurements and can characterize the device parameters of fabricated complex ring-resonator circuits.</description><identifier>ISSN: 0733-8724</identifier><identifier>EISSN: 1558-2213</identifier><identifier>DOI: 10.1109/JLT.2004.838858</identifier><identifier>CODEN: JLTEDG</identifier><language>eng</language><publisher>New York, NY: IEEE</publisher><subject>Applied sciences ; Circuit properties ; Circuits ; Devices ; Electric, optical and optoelectronic circuits ; Electronics ; Exact sciences and technology ; Integrated optoelectronics. Optoelectronic circuits ; Interferometry ; Lattices ; Microresonators ; Optical and optoelectronic circuits ; Optical devices ; Optical feedback ; Optical filters ; Optical interferometry ; Optical paths ; Optical ring resonators ; Optical waveguides ; Recursive ; Resonators ; ring resonators ; Transfer functions ; Transmission line matrix methods</subject><ispartof>Journal of lightwave technology, 2005-02, Vol.23 (2), p.915-922</ispartof><rights>2005 INIST-CNRS</rights><rights>Copyright The Institute of Electrical and Electronics Engineers, Inc. (IEEE) 2005</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c415t-f0e52527957a3122591f1402ceb5cd72b1ed3fb2acc4704d1cd90d94ebe50c1d3</citedby><cites>FETCH-LOGICAL-c415t-f0e52527957a3122591f1402ceb5cd72b1ed3fb2acc4704d1cd90d94ebe50c1d3</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://ieeexplore.ieee.org/document/1402569$$EHTML$$P50$$Gieee$$H</linktohtml><link.rule.ids>314,776,780,792,27901,27902,54733</link.rule.ids><linktorsrc>$$Uhttps://ieeexplore.ieee.org/document/1402569$$EView_record_in_IEEE$$FView_record_in_$$GIEEE</linktorsrc><backlink>$$Uhttp://pascal-francis.inist.fr/vibad/index.php?action=getRecordDetail&idt=16582460$$DView record in Pascal Francis$$Hfree_for_read</backlink></links><search><creatorcontrib>Wei Chen, Wei Chen</creatorcontrib><creatorcontrib>Zhipeng Wang, Zhipeng Wang</creatorcontrib><creatorcontrib>Wenlu Chen, Wenlu Chen</creatorcontrib><creatorcontrib>Yung-Jui Chen, Yung-Jui Chen</creatorcontrib><title>General ring-resonator analysis and characterization by characteristic matrix</title><title>Journal of lightwave technology</title><addtitle>JLT</addtitle><description>In this paper, a general analysis method for ring resonators is proposed. The method utilizes a characteristic matrix to express the recursive relationship between transfer functions of adjacent-order optical paths, and consequently, the total transfer function. The method provides a new way to express Mason's rule in general. At the same time, it greatly simplifies the expression in the ring-resonator case. The method can be used to synthesize any ring-resonator devices. In addition, as individual optical paths' transfer functions are derived in this process, the formulas can be applied to incoherent interferometric measurements and can characterize the device parameters of fabricated complex ring-resonator circuits.</description><subject>Applied sciences</subject><subject>Circuit properties</subject><subject>Circuits</subject><subject>Devices</subject><subject>Electric, optical and optoelectronic circuits</subject><subject>Electronics</subject><subject>Exact sciences and technology</subject><subject>Integrated optoelectronics. Optoelectronic circuits</subject><subject>Interferometry</subject><subject>Lattices</subject><subject>Microresonators</subject><subject>Optical and optoelectronic circuits</subject><subject>Optical devices</subject><subject>Optical feedback</subject><subject>Optical filters</subject><subject>Optical interferometry</subject><subject>Optical paths</subject><subject>Optical ring resonators</subject><subject>Optical waveguides</subject><subject>Recursive</subject><subject>Resonators</subject><subject>ring resonators</subject><subject>Transfer functions</subject><subject>Transmission line matrix methods</subject><issn>0733-8724</issn><issn>1558-2213</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2005</creationdate><recordtype>article</recordtype><sourceid>RIE</sourceid><recordid>eNqN0TtLBDEQB_AgCp6P2sJmERSbPTN5bJJSxCcnNlqHbHZWI3u7muyB56c3coJiIVYTJr-ZYv6E7AGdAlBzcjO7nzJKxVRzraVeIxOQUpeMAV8nE6o4L7ViYpNspfRMKQih1YTcXmKP0XVFDP1jGTENvRuHWLjedcsUUn40hX9y0fkRY3h3Yxj6ol7-6KUx-GLuxhjedshG67qEu191mzxcnN-fXZWzu8vrs9NZ6QXIsWwpSiaZMlI5DoxJAy0IyjzW0jeK1YANb2vmvBeKigZ8Y2hjBNYoqYeGb5Oj1d6XOLwuMI12HpLHrnM9DotkmabUgBQZHv8JoVLAuDAV_JNyo3mmB7_o87CI-WLJ6soAKGNkRicr5OOQUsTWvsQwd3FpgdrPxGxOzH4mZleJ5YnDr7Uuede10fU-pO-xSmomKprd_soFRPz-zgeUleEfORieEA</recordid><startdate>20050201</startdate><enddate>20050201</enddate><creator>Wei Chen, Wei Chen</creator><creator>Zhipeng Wang, Zhipeng Wang</creator><creator>Wenlu Chen, Wenlu Chen</creator><creator>Yung-Jui Chen, Yung-Jui Chen</creator><general>IEEE</general><general>Institute of Electrical and Electronics Engineers</general><general>The Institute of Electrical and Electronics Engineers, Inc. (IEEE)</general><scope>97E</scope><scope>RIA</scope><scope>RIE</scope><scope>IQODW</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7SP</scope><scope>7U5</scope><scope>8FD</scope><scope>H8D</scope><scope>L7M</scope></search><sort><creationdate>20050201</creationdate><title>General ring-resonator analysis and characterization by characteristic matrix</title><author>Wei Chen, Wei Chen ; Zhipeng Wang, Zhipeng Wang ; Wenlu Chen, Wenlu Chen ; Yung-Jui Chen, Yung-Jui Chen</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c415t-f0e52527957a3122591f1402ceb5cd72b1ed3fb2acc4704d1cd90d94ebe50c1d3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2005</creationdate><topic>Applied sciences</topic><topic>Circuit properties</topic><topic>Circuits</topic><topic>Devices</topic><topic>Electric, optical and optoelectronic circuits</topic><topic>Electronics</topic><topic>Exact sciences and technology</topic><topic>Integrated optoelectronics. Optoelectronic circuits</topic><topic>Interferometry</topic><topic>Lattices</topic><topic>Microresonators</topic><topic>Optical and optoelectronic circuits</topic><topic>Optical devices</topic><topic>Optical feedback</topic><topic>Optical filters</topic><topic>Optical interferometry</topic><topic>Optical paths</topic><topic>Optical ring resonators</topic><topic>Optical waveguides</topic><topic>Recursive</topic><topic>Resonators</topic><topic>ring resonators</topic><topic>Transfer functions</topic><topic>Transmission line matrix methods</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Wei Chen, Wei Chen</creatorcontrib><creatorcontrib>Zhipeng Wang, Zhipeng Wang</creatorcontrib><creatorcontrib>Wenlu Chen, Wenlu Chen</creatorcontrib><creatorcontrib>Yung-Jui Chen, Yung-Jui Chen</creatorcontrib><collection>IEEE All-Society Periodicals Package (ASPP) 2005-present</collection><collection>IEEE All-Society Periodicals Package (ASPP) 1998-Present</collection><collection>IEEE Electronic Library (IEL)</collection><collection>Pascal-Francis</collection><collection>CrossRef</collection><collection>Electronics & Communications Abstracts</collection><collection>Solid State and Superconductivity Abstracts</collection><collection>Technology Research Database</collection><collection>Aerospace Database</collection><collection>Advanced Technologies Database with Aerospace</collection><jtitle>Journal of lightwave technology</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Wei Chen, Wei Chen</au><au>Zhipeng Wang, Zhipeng Wang</au><au>Wenlu Chen, Wenlu Chen</au><au>Yung-Jui Chen, Yung-Jui Chen</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>General ring-resonator analysis and characterization by characteristic matrix</atitle><jtitle>Journal of lightwave technology</jtitle><stitle>JLT</stitle><date>2005-02-01</date><risdate>2005</risdate><volume>23</volume><issue>2</issue><spage>915</spage><epage>922</epage><pages>915-922</pages><issn>0733-8724</issn><eissn>1558-2213</eissn><coden>JLTEDG</coden><abstract>In this paper, a general analysis method for ring resonators is proposed. The method utilizes a characteristic matrix to express the recursive relationship between transfer functions of adjacent-order optical paths, and consequently, the total transfer function. The method provides a new way to express Mason's rule in general. At the same time, it greatly simplifies the expression in the ring-resonator case. The method can be used to synthesize any ring-resonator devices. In addition, as individual optical paths' transfer functions are derived in this process, the formulas can be applied to incoherent interferometric measurements and can characterize the device parameters of fabricated complex ring-resonator circuits.</abstract><cop>New York, NY</cop><pub>IEEE</pub><doi>10.1109/JLT.2004.838858</doi><tpages>8</tpages></addata></record> |
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subjects | Applied sciences Circuit properties Circuits Devices Electric, optical and optoelectronic circuits Electronics Exact sciences and technology Integrated optoelectronics. Optoelectronic circuits Interferometry Lattices Microresonators Optical and optoelectronic circuits Optical devices Optical feedback Optical filters Optical interferometry Optical paths Optical ring resonators Optical waveguides Recursive Resonators ring resonators Transfer functions Transmission line matrix methods |
title | General ring-resonator analysis and characterization by characteristic matrix |
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