自由電子激光中有關(guān)非線性效應(yīng)的若干研究.pdf

1、中國科學(xué)技術(shù)大學(xué)博士學(xué)位論文自由電子激光中有關(guān)非線性效應(yīng)的若干研究姓名：鄒冰申請學(xué)位級別：博士專業(yè)：核技術(shù)及應(yīng)用指導(dǎo)教師：何多慧張鵬飛20100601AbstractAbstractNonlinearityiSuniversalforthefreeelectron1asersThisdissertationfocusesonsomeproblemsrelatedtothenonlinearbehaviorsinfreeelectronl

2、asersAdetaileddiscussionofthebasicFELtheoryisprovided，andthisisthebasisforourinvestigationsForarelativisticelectronwhichisnonideallyinjectedintoanundulatorthespontaneousradiationspectrumiscalculatedtheoreticallyandnumeri

3、callyandacomparisonwiththecorrespondingresultsforideallyinjectedelectronismadeThemotionofelectronsinahelicalundulatorwithaxialguidingfieldisanalyzedFortheintcrgrablecasewhentheselffieldisneglected，thecriterionofperiodico

4、rquasiperiodicelectronorbitisinvestigated，aswellastheinitialconditionforstablehelicalorbitFurtherthechaoticpropertiesofelectronsmotionforstrongselffieldregimeareinvestigatedThechaoticnatureisqualitativemanifestedandconfi

5、rmedusingPoincaremapsmethod；undersometheoreticalanalysisofnearlyintegrablesystemandthecalculationofLyapunovexponentsforelectrontrajectoriesusingnumericalsimulation，thethresholdvalueoftheselffiddparameterforchaosisobtaine

6、drespectivelyThetransversemotionsofelectronwithbomselffieldandhighorderwigglel“fieldareanalyzed，withaninvestigationontheconfinementconditionofelectronsBasedonColson—BonifacioFELtheoryanumericalsimulationcodefor1一Dsteadys

7、tateFELiscomposed，hencetheinfluenceofselffieldeffectonoutputradiationfieldforhigh—gainFELCanbeanalyzedandnumericalcalculatedAnovelstatisticalmethodforFELsaturationproposedbyJulienBaneeta1ismodifiedinordertobeadoptabletos

8、ystemswithselffieldeffect，viathismethodtheinfluenceofselffieldonradiationintensityatsaturationisinvestigatedKeyWord：Freeelectronlasers，nonlinearspontaneousradiation，quasiperiodic，chaos，selffield，numericalsimulation，satur