On a novel mode-solver and beam propagation method based on Galerkin approach and Arnoldi iteration technique
In this work, a modified Galerkin method is used to study the modal and propagation behaviour of generic integrated optical structures. The paraxial propagation equation is solved through non-linear mapping of the transverse plane and subsequent Galerkin approach. The differential equation is thus t...
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Veröffentlicht in: | Optical and quantum electronics 2002-05, Vol.34 (5-6), p.559-575 |
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creator | FORASTIERE, Michele A RIGHINI, Giancarlo C |
description | In this work, a modified Galerkin method is used to study the modal and propagation behaviour of generic integrated optical structures. The paraxial propagation equation is solved through non-linear mapping of the transverse plane and subsequent Galerkin approach. The differential equation is thus transformed into a specific finite-dimension linear problem. The field evolution is then calculated step-wise by approximating the exponential propagator through an Arnoldi iterative procedure. A similar approach is applied to the corresponding eigenproblem. |
doi_str_mv | 10.1007/BF02892617 |
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The paraxial propagation equation is solved through non-linear mapping of the transverse plane and subsequent Galerkin approach. The differential equation is thus transformed into a specific finite-dimension linear problem. The field evolution is then calculated step-wise by approximating the exponential propagator through an Arnoldi iterative procedure. A similar approach is applied to the corresponding eigenproblem.</description><identifier>ISSN: 0306-8919</identifier><identifier>EISSN: 1572-817X</identifier><identifier>DOI: 10.1007/BF02892617</identifier><identifier>CODEN: OQELDI</identifier><language>eng</language><publisher>Dordrecht: Springer</publisher><subject>Applied sciences ; Beams (radiation) ; Circuit properties ; Computational techniques ; Differential equations ; Electric, optical and optoelectronic circuits ; Electronics ; Exact sciences and technology ; Finite-element and galerkin methods ; Galerkin method ; Integrated optics. Optical fibers and wave guides ; Mathematical methods in physics ; Optical and optoelectronic circuits ; Physics ; Propagation modes ; Waveguides, couplers, and arrays</subject><ispartof>Optical and quantum electronics, 2002-05, Vol.34 (5-6), p.559-575</ispartof><rights>2002 INIST-CNRS</rights><rights>Kluwer Academic Publishers 2002.</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><cites>FETCH-LOGICAL-c248t-8623f4cd906ee29fe9e2b8c3ec66ae409591d376a0013a8665c37ac17dcfd8b33</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>309,310,314,780,784,789,790,23930,23931,25140,27924,27925</link.rule.ids><backlink>$$Uhttp://pascal-francis.inist.fr/vibad/index.php?action=getRecordDetail&idt=13746488$$DView record in Pascal Francis$$Hfree_for_read</backlink></links><search><creatorcontrib>FORASTIERE, Michele A</creatorcontrib><creatorcontrib>RIGHINI, Giancarlo C</creatorcontrib><title>On a novel mode-solver and beam propagation method based on Galerkin approach and Arnoldi iteration technique</title><title>Optical and quantum electronics</title><description>In this work, a modified Galerkin method is used to study the modal and propagation behaviour of generic integrated optical structures. The paraxial propagation equation is solved through non-linear mapping of the transverse plane and subsequent Galerkin approach. The differential equation is thus transformed into a specific finite-dimension linear problem. The field evolution is then calculated step-wise by approximating the exponential propagator through an Arnoldi iterative procedure. A similar approach is applied to the corresponding eigenproblem.</description><subject>Applied sciences</subject><subject>Beams (radiation)</subject><subject>Circuit properties</subject><subject>Computational techniques</subject><subject>Differential equations</subject><subject>Electric, optical and optoelectronic circuits</subject><subject>Electronics</subject><subject>Exact sciences and technology</subject><subject>Finite-element and galerkin methods</subject><subject>Galerkin method</subject><subject>Integrated optics. Optical fibers and wave guides</subject><subject>Mathematical methods in physics</subject><subject>Optical and optoelectronic circuits</subject><subject>Physics</subject><subject>Propagation modes</subject><subject>Waveguides, couplers, and arrays</subject><issn>0306-8919</issn><issn>1572-817X</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2002</creationdate><recordtype>article</recordtype><recordid>eNpFkE9LAzEQxYMoWKsXP0FAvAir-bObZI-12CoUelHwtkyTWbt1d1OTbcFvb7QFT8MMv_fe8Ai55uyeM6YfHmdMmFIork_IiBdaZIbr91MyYpKpzJS8PCcXMW4YYyov2Ih0y54C7f0eW9p5h1n07R4Dhd7RFUJHt8Fv4QOGxve0w2Ht0x0iOpr2ObQYPpvksE0Y2PWfbBJ637qGNgOGg25Au-6brx1ekrMa2ohXxzkmb7On1-lztljOX6aTRWZFbobMKCHr3LqSKURR1liiWBkr0SoFmLOyKLmTWgFjXIJRqrBSg-Xa2dqZlZRjcnPwTW-l2DhUG78LfYqshDYqFVRwnai7A2WDjzFgXW1D00H4rjirfuus_utM8O3REqKFtg7Q2yb-K6TOVW6M_AH3-HTh</recordid><startdate>20020501</startdate><enddate>20020501</enddate><creator>FORASTIERE, Michele A</creator><creator>RIGHINI, Giancarlo C</creator><general>Springer</general><general>Springer Nature B.V</general><scope>IQODW</scope><scope>AAYXX</scope><scope>CITATION</scope></search><sort><creationdate>20020501</creationdate><title>On a novel mode-solver and beam propagation method based on Galerkin approach and Arnoldi iteration technique</title><author>FORASTIERE, Michele A ; RIGHINI, Giancarlo C</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c248t-8623f4cd906ee29fe9e2b8c3ec66ae409591d376a0013a8665c37ac17dcfd8b33</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2002</creationdate><topic>Applied sciences</topic><topic>Beams (radiation)</topic><topic>Circuit properties</topic><topic>Computational techniques</topic><topic>Differential equations</topic><topic>Electric, optical and optoelectronic circuits</topic><topic>Electronics</topic><topic>Exact sciences and technology</topic><topic>Finite-element and galerkin methods</topic><topic>Galerkin method</topic><topic>Integrated optics. Optical fibers and wave guides</topic><topic>Mathematical methods in physics</topic><topic>Optical and optoelectronic circuits</topic><topic>Physics</topic><topic>Propagation modes</topic><topic>Waveguides, couplers, and arrays</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>FORASTIERE, Michele A</creatorcontrib><creatorcontrib>RIGHINI, Giancarlo C</creatorcontrib><collection>Pascal-Francis</collection><collection>CrossRef</collection><jtitle>Optical and quantum electronics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>FORASTIERE, Michele A</au><au>RIGHINI, Giancarlo C</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>On a novel mode-solver and beam propagation method based on Galerkin approach and Arnoldi iteration technique</atitle><jtitle>Optical and quantum electronics</jtitle><date>2002-05-01</date><risdate>2002</risdate><volume>34</volume><issue>5-6</issue><spage>559</spage><epage>575</epage><pages>559-575</pages><issn>0306-8919</issn><eissn>1572-817X</eissn><coden>OQELDI</coden><abstract>In this work, a modified Galerkin method is used to study the modal and propagation behaviour of generic integrated optical structures. The paraxial propagation equation is solved through non-linear mapping of the transverse plane and subsequent Galerkin approach. The differential equation is thus transformed into a specific finite-dimension linear problem. The field evolution is then calculated step-wise by approximating the exponential propagator through an Arnoldi iterative procedure. A similar approach is applied to the corresponding eigenproblem.</abstract><cop>Dordrecht</cop><pub>Springer</pub><doi>10.1007/BF02892617</doi><tpages>17</tpages></addata></record> |
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subjects | Applied sciences Beams (radiation) Circuit properties Computational techniques Differential equations Electric, optical and optoelectronic circuits Electronics Exact sciences and technology Finite-element and galerkin methods Galerkin method Integrated optics. Optical fibers and wave guides Mathematical methods in physics Optical and optoelectronic circuits Physics Propagation modes Waveguides, couplers, and arrays |
title | On a novel mode-solver and beam propagation method based on Galerkin approach and Arnoldi iteration technique |
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