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1、Geometricalopticsanalysisofthestructuralimperfectionofretroreflectioncornercubeswithanonlinearconjugategradientmethod12,1HwiKim,Sung-WookMin,*andByounghoLee1SchoolofElectricalEngineering,SeoulNationalUniversity,Gwanak-GuShinlim-Dong,Seoul151-744,Korea2DepartmentofInformationDispla
2、y,CollegeofScience,KyungHeeUniversity,Hoeki-dong,Dongdaemoon-kuSeoul130-701,Korea*Correspondingauthor:mins@khu.ac.krReceived2July2008;revised27September2008;accepted30September2008;posted3October2008(Doc.ID98133);published27November2008Geometricalopticsanalysisofthestructuralimper
3、fectionofretroreflectioncornercubesisdescribed.Intheanalysis,ageometricalopticsmodelofsix-beamreflectionpatternsgeneratedbyanimperfectretro-reflectioncornercubeisdeveloped,anditsstructuralerrorextractionisformulatedasanonlinearop-timizationproblem.Thenonlinearconjugategradientmeth
4、odisemployedforsolvingthenonlinearoptimizationproblem,anditsdetailedimplementationisdescribed.Theproposedmethodofanalysisisamathematicalbasisforthenondestructiveopticalinspectionofimperfectlyfabricatedretroreflectioncornercubes.©2008OpticalSocietyofAmericaOCIScodes:080.0080,080.27
5、20,230.5480.1.IntroductionshowninFig.1(a).Retroreflectionbyacorner-cubeRetroreflectionisthewell-knownreflectionphenom-structureisusedinmanypracticalapplicationsre-enon[1]thattheopticalraysradiatedfromanopticalquiringaccurateretroreflection,suchaspositioningsourcearereflectedbackto
6、theopticalsourcealongandguidancesystems[8–10],wavefrontcorrection[11],opticalcommunications[12],andtrafficcontroltheinversedirectionsoftheincidentrays.Forrealiz-signs[13–15].Inparticular,theretroreflectorsareingretroreflection,specificallydesignedopticalconsideredakeyelementofanew
7、application,devices,retroreflectors,areused.Severaltypesofhead-mountedprojectivedisplay,whereingreattech-retroreflectorsandtheiropticalpropertieshavebeennologyadvancementshavebeenmadeinrecentinvestigated[1–7].Themostpopulartypeofretrore-years[16–22].flectoristhecornercube,schemati
8、callydepictedinAlthoughthestructu
