光波導(dǎo)有限元時(shí)域束傳輸法分析.pdf

1、東南大學(xué)碩士學(xué)位論文光波導(dǎo)有限元時(shí)域束傳輸法分析姓名：呂建剛申請(qǐng)學(xué)位級(jí)別：碩士專業(yè)：物理電子學(xué)指導(dǎo)教師：孫小菡20060301AbstractAlongwiththedevelopmentofopticalnetworkcommunicationtechnology。thestructuresandfunctionsofopticalcomponentsbasedonopticalwavegnidesbecomemoreandmoren

2、oveltyNaturallytheanalysisanddesignofopticalwaveguidesandstudyonthepropagationoflightlavebecomeafocusAndfollowingtheappearanceofnewopticalwavegaidessuchasphotoniccrystalandphotoniccrystalfiber，somemethodsofnumericalanaly

3、sisusedbeforecan’treachthedesireddemandSoweneedmethodsofnumericalanalysiswhichismoreeffectiveforexamplethefiniteelementmethodBecauseofitsadaptationtoshapeandhighprecisionthefiniteelementmethodhasamoreandmoreimportantrole

4、intheanalysisofopticalwavegnidesThestudyontheapplicationofthefiniteelementmethodinanalysisonopticalwaveguidemusthaveaninstructivefunctiontotheanalysisandstudyonopticalwaveguidesInchaptertwowederivethefielddistributionfan

5、ctionsoftwo—dimensionplanaropticalwaveguidesfromMaxweilfunctions，andthenreceivetheEulerfunction，thisisthebasisofthefiniteelementmethodfortheanalysisoftwo—dimensionopticalwaveguideSubsequentlybydividingthecomputefieldby1i

6、nearelementandcombiningwithanalyticalsolution，wereceivethepropagationfunctionsoftwo—dimensionopticalwavegnidesandsimulatenumericallYThenusing1ineartriangular—elementnodeauto—divisionarithmetic，wereceivetheresultoffielddi

7、stributionandcompareitwiththatbeforeThenwesimulatebyANSYSandreceivethefielddistributiondiagramThesedemonstratethevalidityofthefiniteelementmethodInchapterthree。weanalyzethree—dimensionopticalwaveguidesinscalarfiniteeleme

8、ntmethodandvectorfiniteelementmethodThenwepresentthemethodtoavoidspurioussolutions，receivethepropagationfunctionsofthreedimensionopticalwaveguidesDuetotheimportanceofaxissymmetryopticalwaveguides，hereweanalyzetheaxis—sym

9、metryopticalwaveguidesinscalarmethodandvectormethod，respectivelyWereceivethepropagationfunctionsofaxissymmetryopticalwaveguidesHowtodividegridsisanimportantringinthefiniteelementmethod，sointhechapterfourwediscussandcompa

10、rethequestionintheanalysisofopticalwaveguidesOnthebaseonfrontchapters。thechapterfivepresentsthefiniteelementanalysisresultofphotoniccrystalfibersanddemonstratesthefronttheoreticalmodebycompareandanalysisInthechaptersix，f

11、irstwederivethe3DFETD—BPManddiscretizethetime——domainwavefuactionofopticalwavefieldbasedonsingle—modeopticalfiberdescribedbyslow—varietyenvelopeapproximateIntheend。thetheoreticalmodeofthree——dimensiontime‘’domainbeamprop

12、agationmethodisestablishedAfterthederivationandnumericalsimulationofthefiniteelementmethod，thevalidityofthefiniteelementmethodinthesimulationofphotoniccrystalfiberisdemonstratedThishasaninstructivemeaningtothestudyonthep