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1、AppliedPhysics应用物理,2013,3,61-67doi:10.12677/app.2013.33012PublishedOnlineMay2013(http://www.hanspub.org/journal/app.html)TheBeam-WidthSpreadandDirectionalityofPartiallyCoherentHermite-GanssianBeamsPropagatingthrough*Non-KolmogorovAtmosphericTurbulence#YanyanPeng,JinhongLi
2、,JilinWei,WeiweiWangSchoolofAppliedScience,TaiyuanUniversityofScienceandTechnology,Taiyuan#Email:yan_peng860401@163.com,lijinhong@tyust.edu.cnthththReceived:Apr.8,2013;revised:Apr.19,2013;accepted:Apr.27,2013Copyright©2013YanyanPengetal.Thisisanopenaccessarticledistribute
3、dundertheCreativeCommonsAttributionLicense,whichpermitsunre-stricteduse,distribution,andreproductioninanymedium,providedtheoriginalworkisproperlycited.Abstract:BasedontheextendedHuygens-Fresnelprincipleandnon-Kolmogorovspectrum,analyticalexpressionsforthebeam-widthspreado
4、fpartiallycoherentHermite-Ganssian(H-G)beamspropagatingthroughnon-Kolmogorovat-mosphericturbulencearederived,andusedtostudythebeam-widthspreadinganddirectionalityofpartiallycoherentH-Gbeamspropagatingthroughnon-Kolmogorovatmosphericturbulence.Therelativewidthisintroducedt
5、oquantita-tivelydescribetheresistanceofabeamtoatmosphericturbulence.Itisshownthatthesmallerthespatialcorrelationlengthσ0,andthelargerthebeamorderm,n,andthelessthebeam-widthspreadingofpartiallycoherentH-Gbeamsisaffectedbynon-Kolmogorovatmosphericturbulence.Theinfluenceoftu
6、rbulenceonbeam-widthspreadingdependsonthewaistwidthω0andpropagationdistancez,whenthepropagationdistanceissufficientlylong,thesmallerthewaistwidthω0,thelessthebeam-widthspreadingofpartiallycoherentH-Gbeamsisaffectedbynon-Kolmogorovatmos-phericturbulence.Thebeamwidthofparti
7、allycoherentH-Gbeamsthroughnon-Kolmogorovatmosphericturbulenceincreasewiththeincreasingexponentparameterα,thendecreasewithincreasingα.Thereexistequivalentpartiallyco-herentandfullycoherentH-Gbeams,GSMbeams,whichhavethesamedirectionalityasafullycoherentGaussianlaserbeaminf
8、reespaceandinnon-Kolmogorovatmosphericturbulence.Theresultsareinterpretedphysically.Keywords:Par
