Lateral mode analysis in semiconductor lasers using a cubic spline approximation of the refractive index profile
A method employing a cubic spline approximation of the refractive index to solve the one-dimensional wave equation is presented. The average errors and computation times are compared with those obtained using a staircase method and an improvement of several orders of magnitude in accuracy with only...
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Veröffentlicht in: | Journal of lightwave technology 1989-09, Vol.7 (9), p.1419-1424 |
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container_title | Journal of lightwave technology |
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creator | Chui, H.C. Chan, A.K. |
description | A method employing a cubic spline approximation of the refractive index to solve the one-dimensional wave equation is presented. The average errors and computation times are compared with those obtained using a staircase method and an improvement of several orders of magnitude in accuracy with only a small increase in computation time for a given step size is shown. An iterative algorithm to determine the propagation constant is also presented.< > |
doi_str_mv | 10.1109/50.50723 |
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The average errors and computation times are compared with those obtained using a staircase method and an improvement of several orders of magnitude in accuracy with only a small increase in computation time for a given step size is shown. An iterative algorithm to determine the propagation constant is also presented.< ></description><identifier>ISSN: 0733-8724</identifier><identifier>EISSN: 1558-2213</identifier><identifier>DOI: 10.1109/50.50723</identifier><identifier>CODEN: JLTEDG</identifier><language>eng</language><publisher>New York, NY: IEEE</publisher><subject>Exact sciences and technology ; Fundamental areas of phenomenology (including applications) ; Laser modes ; Lasers ; Optical design ; Optical refraction ; Optics ; Partial differential equations ; Physics ; Piecewise linear approximation ; Power lasers ; Propagation constant ; Refractive index ; Semiconductor lasers ; Semiconductor lasers; laser diodes ; Spline</subject><ispartof>Journal of lightwave technology, 1989-09, Vol.7 (9), p.1419-1424</ispartof><rights>1991 INIST-CNRS</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c366t-c54a1a5f81e88ae5df16dd31eb0c13b3e1f5f7d9556fa7533f5ad957740f77ae3</citedby><cites>FETCH-LOGICAL-c366t-c54a1a5f81e88ae5df16dd31eb0c13b3e1f5f7d9556fa7533f5ad957740f77ae3</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://ieeexplore.ieee.org/document/50723$$EHTML$$P50$$Gieee$$H</linktohtml><link.rule.ids>314,776,780,792,27903,27904,54737</link.rule.ids><linktorsrc>$$Uhttps://ieeexplore.ieee.org/document/50723$$EView_record_in_IEEE$$FView_record_in_$$GIEEE</linktorsrc><backlink>$$Uhttp://pascal-francis.inist.fr/vibad/index.php?action=getRecordDetail&idt=19673717$$DView record in Pascal Francis$$Hfree_for_read</backlink></links><search><creatorcontrib>Chui, H.C.</creatorcontrib><creatorcontrib>Chan, A.K.</creatorcontrib><title>Lateral mode analysis in semiconductor lasers using a cubic spline approximation of the refractive index profile</title><title>Journal of lightwave technology</title><addtitle>JLT</addtitle><description>A method employing a cubic spline approximation of the refractive index to solve the one-dimensional wave equation is presented. The average errors and computation times are compared with those obtained using a staircase method and an improvement of several orders of magnitude in accuracy with only a small increase in computation time for a given step size is shown. An iterative algorithm to determine the propagation constant is also presented.< ></description><subject>Exact sciences and technology</subject><subject>Fundamental areas of phenomenology (including applications)</subject><subject>Laser modes</subject><subject>Lasers</subject><subject>Optical design</subject><subject>Optical refraction</subject><subject>Optics</subject><subject>Partial differential equations</subject><subject>Physics</subject><subject>Piecewise linear approximation</subject><subject>Power lasers</subject><subject>Propagation constant</subject><subject>Refractive index</subject><subject>Semiconductor lasers</subject><subject>Semiconductor lasers; laser diodes</subject><subject>Spline</subject><issn>0733-8724</issn><issn>1558-2213</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>1989</creationdate><recordtype>article</recordtype><recordid>eNqNkUFP3DAQRq2qSN0uSFy5-QLqJVs7tmPvESFKK63USzlHs864deVNgidB8O8xDYIjPY1G8-aN9A1jp1JspBTbr0ZsjLC1-sBW0hhX1bVUH9lKWKUqZ2v9iX0m-iuE1NrZFRt3MGGGxA9Dhxx6SI8UiceeEx6iH_pu9tOQeQLCTHym2P_mwP28j57TmGJftsYxDw_xAFMcej4EPv1BnjFk8FO8xyLr8IEXJsSEx-woQCI8ealrdvvt-tfV92r38-bH1eWu8qpppsobDRJMcBKdAzRdkE3XKYl74aXaK5TBBNttjWkCWKNUMFA6a7UI1gKqNbtYvOXu3Yw0tYdIHlOCHoeZ2toV2rntf4BK1Vrr90FTW63Ns_HLAvo8EJUg2jGXdPJjK0X7_KTWiPbfkwp6_uIE8pBKZL2P9MZvG6ustIU7W7iIiK_jxfEEXIaa0w</recordid><startdate>19890901</startdate><enddate>19890901</enddate><creator>Chui, H.C.</creator><creator>Chan, A.K.</creator><general>IEEE</general><general>Institute of Electrical and Electronics Engineers</general><scope>IQODW</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7SP</scope><scope>7U5</scope><scope>8FD</scope><scope>L7M</scope></search><sort><creationdate>19890901</creationdate><title>Lateral mode analysis in semiconductor lasers using a cubic spline approximation of the refractive index profile</title><author>Chui, H.C. ; Chan, A.K.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c366t-c54a1a5f81e88ae5df16dd31eb0c13b3e1f5f7d9556fa7533f5ad957740f77ae3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>1989</creationdate><topic>Exact sciences and technology</topic><topic>Fundamental areas of phenomenology (including applications)</topic><topic>Laser modes</topic><topic>Lasers</topic><topic>Optical design</topic><topic>Optical refraction</topic><topic>Optics</topic><topic>Partial differential equations</topic><topic>Physics</topic><topic>Piecewise linear approximation</topic><topic>Power lasers</topic><topic>Propagation constant</topic><topic>Refractive index</topic><topic>Semiconductor lasers</topic><topic>Semiconductor lasers; laser diodes</topic><topic>Spline</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Chui, H.C.</creatorcontrib><creatorcontrib>Chan, A.K.</creatorcontrib><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>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>Chui, H.C.</au><au>Chan, A.K.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Lateral mode analysis in semiconductor lasers using a cubic spline approximation of the refractive index profile</atitle><jtitle>Journal of lightwave technology</jtitle><stitle>JLT</stitle><date>1989-09-01</date><risdate>1989</risdate><volume>7</volume><issue>9</issue><spage>1419</spage><epage>1424</epage><pages>1419-1424</pages><issn>0733-8724</issn><eissn>1558-2213</eissn><coden>JLTEDG</coden><abstract>A method employing a cubic spline approximation of the refractive index to solve the one-dimensional wave equation is presented. The average errors and computation times are compared with those obtained using a staircase method and an improvement of several orders of magnitude in accuracy with only a small increase in computation time for a given step size is shown. An iterative algorithm to determine the propagation constant is also presented.< ></abstract><cop>New York, NY</cop><pub>IEEE</pub><doi>10.1109/50.50723</doi><tpages>6</tpages></addata></record> |
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subjects | Exact sciences and technology Fundamental areas of phenomenology (including applications) Laser modes Lasers Optical design Optical refraction Optics Partial differential equations Physics Piecewise linear approximation Power lasers Propagation constant Refractive index Semiconductor lasers Semiconductor lasers laser diodes Spline |
title | Lateral mode analysis in semiconductor lasers using a cubic spline approximation of the refractive index profile |
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