11128.超短激光脈沖在非線性介質中的解析解

1、浙江師范大學碩士學位論文ScMDissertationofZhejiangNormalUniversity超短激光脈沖在非線性介質中的解析解Analyticsolutionsfortheultrashortlaserpulseinnonlinearmedia研究生：郭幫興MasterDegreeCandidate：GuoBangxing專業(yè)：理論物理Subject：TheoreticalPhysics導師：林機Sul)ervisor：L

2、inJi中國金華浙江師范大學ZhejiangNormalUniversityJinhua，China二。一六年三月March，2016ANALlyTICSoLUTIoNSFORTHEUI省RASHORTLASERPULSEINNoNLINEARMEDIAAbstractTheultrashort(few—cycle)intenselaserpulsesareappliedtoobserveandCOiltrolmanyphysicalp

3、henomena，suchaselectronmotioninatoms，molecularvi—brations，andchemicalreactionsofcomplexmoleculesTheinteractionsbetweenultrashortlaserpulsesandmattersgeneratethetransientcoherentopticaleffects，suchassuperradiation，Rabiosc

4、illations，freeinductiondecayopticalnutation，photon，selfinductiontransparencyandopticalsolitonIt舀yesrisetoalotofattentionofphysicistsInexperiment，experimentalphysicistscanrealizetoletthepulsewidthoffew—cyclepulse(FCP)reac

5、htoattosecondorder，itprovidespossibilityforobservingtheelectronmotionIntheorymanytheoreticalmodelsbeyondtheslowlyvaryingtheenvelopeapproximation(SVEA)wereputfrowardfor，suchas(11)一dimensionalmKdVequation)sGequation，short—

6、pulseequation，mKdVsGequation，and(21)一dimensionalKPequationAdditionallythebreathesolitonsolutionofmKdVsGequationcanwelldescribethepropagationcharacteristicsofFCPsolitonindielectricmediaamongthenonslowlyvaryingenvelopeappr

7、oximationmodelsInthesis，usingthemulti—scaleexpan—sionmethodandconsideringtheshort—waveapproximation，a(21)一dimensionalnonlinearcoupledequationisdeducedfromMaxwellBlochequationwiththetwo—levelatomicsystemForthismodel，peopl

8、ejustgotthenumericalresults，anddidnotgivetheanalyticsolutionAtfirst，weinvestigateintegrabilityofthecoupledequationswiththePainlev6singularityanalysisandfindthatitisnotanintegrablesystemMeanwhile，weobtaingeneralexactsolut

9、ionsexpressedbyonearbitraryfunctionortwoarbitraryfllnctionsbyusingconsistenttanhexpansion(CTE)nmthodByassumingthespecificformofarbitraryfunction，weobtainsomeinteractionsolutionssuchastheonekinkoneperiodicwavein—teraction