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1、Optik125(2014)583–586ContentslistsavailableatScienceDirectOptikjournalhomepage:www.elsevier.de/ijleoMulti-channelopticalanti-counterfeitingofmicro-mirrorarraysQuanlong∗Miao,YixinZhang,ChengTang,MeiTangCollegeofScience,JiangnanUniversity,Wuxi214122,ChinaarticleinfoabstractArt
2、iclehistory:BasedontheFourierseriesexpansiontheoremandtheopticalcharacteristicsofthestrongandstationary4March2013Receivedreflectivityofthesinethree-dimensionalmicrostructurepalettes,weestablishaRGBSm3Dmicrostruc-Accepted5July2013turemodelofopticalvariabledevicethatmakeuseofth
3、esineseriesexpansionofthecomplicatedfunction.Inthemodel,thepixelgramisconstitutedbythesineserieswithitemnumber,securitypass-wordKeywords:colorandthreeprimarycolorsRGBcolors.Thepurposeofanti-counterfeitingisachievedbythemodulationOpticsoftheitemnumberparametermofsineseriesand
4、securitypasswordcolorS.storage©2013ElsevierGmbH.Allrightsreserved.Anti-counterfeitingimageMicro-mirrorarrayvariabledeviceOptical1.Introductionvariableencodingazimuth-angleandfineimagestructurecanbecomposedthemulti-securitychannelsforanti-counterfeiting[7,9].Micrographicimagee
5、lements(ormicrographicelements)pro-Inthispaper,onaccountoftheprincipleofthecomplexfunc-ducedbyelectronbeam,greytonelithographyandprinting,tionbeingconsistoftheharmonicfunctionandbasedonthreemicro-embossinghavebeenusedtocomplementthesecurityprimarycolorsRGB,weputforwardtheass
6、umptionthatthestruc-propertiesofopticalvariabledevices(OVDs)basedondiffractionturesofthemicro-mirrors(3Dmicrostructurepalettes)consistofgratings[1–5],micro-mirrorarrays[6–9],micro-prisms[10]andthesuperpositionofharmonicfunctionwithdifferentitemnumbersurfacereliefmicrographic
7、pixels[11];theseimageelementscanandaanti-counterfeiting3Dimageofthemicrostructurepalettetaketheformoflinesoftextorgraphicsymbolsofgeometriccon-basedfourcolorvalues:R,G,Bandsecuritycolor(S)isconstructed.structionand,insomescenarios,thetechniqueswereintendedThedegreeofcurvatur
8、eofthemicroreflectingmirrorisdeterminedforthepurposeofsecuritydatastorage[11
