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1、華南師范大學(xué)碩士學(xué)位論文超短脈沖光束及空間誘導(dǎo)色散性質(zhì)研究姓名：楊振軍申請(qǐng)學(xué)位級(jí)別：碩士專(zhuān)業(yè)：光學(xué)指導(dǎo)教師：胡巍20040601ABSTRACTTherapidadvancesoflasertechnologyinthepastfewdecadeshavemadetheproductionofextremelyshortlaserpulses，contaimngonlyafew,evenonlyoneornearlyone，cyclesofopticaloscillations，whichledtomanynewquestion
2、s．Inultrashortpulsedlightbeamspropagation，generallyspeaking，thespatialandthetemporalpartsofthewavearenotseparable，andthespatialevolutioncanaffectthetemporalbehavior,andviceversa，eveninfreespace．Thereforethestudyoftheultrashortpulsedbeamshasbeenafocusofthescientificre
3、search．Inthisthesiswestudythepropagationoftheultrashortpulsedbeamsbytheoreticalmethodandthenumericalsimulation．Thethesisiscomposedof5chapters，amongwhichare，Chapter1isasurvey,Chapter2，3，4aretheintroductionsofourownwork，andChapter5isaconclusion．Thethesisisstructuredpar
4、ticularlyasfollows．Chapter1：Thedevelopmentandappliedsignificanceoftheultrashortpulsedbeamareintroduced．Chapter2：Thebasicsequationsandthecomplexanalyticalsignaltheoryareintroduced．PorrasandFuetalproposedthatslowlyvaryingenvelopeapproximationandthecomplexamplitudeenvel
5、opedon’tfitanymorefortheultrashortpulsedbeamshorterthanorevenneartooneoscillationopticalperiod，becausetheyleadtOaspatialsingularity．Westudythepropagationofultrashortchirpedpulsebeamsinfreespace．Theresultsshowthatthechirpinfluencedonthespatialsingularitymorethanthewid
6、thofthepulsebeamIfassumingthechirpedparameterisequaltozero，ourresultsdeducetO也atofPorras．Chapter3：Wefindafamilyofsolutionsoftheparaxialwaveequationthatrepresentsultrashortpulsedlightbeamspropagationinfreespace．Thesepulsedbeamshaveanarbitrarytemporalformandanearlyeleg
7、antHermite—GaussianCROSSsection，whichpulsedbeamswecalltheultralshortpulsedelegantHermite．Gaussianbeams．ThesolutionwithacertainfrequencyisanelegantHemite—Gaussianbeam，andtheirdiffractivedistancesarealsosame．Inthischapter,wegivesomebasicpropertiesaboutthepulsedbeams．Ch
8、apter4：TheSpatiallyInducedGroupVelocityDispersion(SIGVD)ofthepulsedBessel，Bessel—Gaussbeamspropagatinginfreespaceisstudied．Thesimul
