超短脉冲光束及空间诱导色散性质研究

《超短脉冲光束及空间诱导色散性质研究》由会员上传分享，免费在线阅读，更多相关内容在学术论文-天天文库。

1、华南师范大学硕士学位论文超短脉冲光束及空间诱导色散性质研究姓名：杨振军申请学位级别：硕士专业：光学指导教师：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