光学矩阵器件.docx

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光学矩阵器件

ResearchStatusandHotspotsofOpticalMatrixCalculationDevices

Abstracts:

Whenwesayaboutmatrix,wearemostlytalkingaboutmultipliers.Vectormatrixmultipliers(VMMs)canbeusedtoperformFourier

transformandsolvelinearequations.Theyhavewideapplicationsinimage

processing,beamforming,radardetection,wirelesscommunication,etc.

Withthefastdevelopmentofmicro-electronictechnologiesduringthepast

decades,theVMMcomputationspeedhasbeenimprovedsignificantly.

HoweverthecontinuousimprovementinperformancesofCMOSchips

encountersbottlenecksinbothphysicalsizeandmanufacturingprocess.As

wellknown,photonicshasadvantagesofbroadband,highspeed,andlow

powerconsumption.Itiseasiertorealizeparallelprocessing.Hence,

photonictechnologiesmayprovideasolutiontosolvethebottlenecks.

Nowadays,researchesonopticalvectormatrixmultipliers(OVMMs)have

becomeahottopicandattractedmoreandmoreattentioninrecentyears.

BecausethemultipliersarethemostimportantdevicesofOpticalMatrixCalculationDevices,

OurfocusismainlyonOVMMs.Wewillintroducethetheoryofmatrixmultiplicationandwecan

seesomehotpotsofOpticalMatrixCalculationDevices.

Introduction:

Traditionalelectroniccomputingtechnologyshows

moreandmoreshortcomingswiththeincreaseof

requirementsforthecomputingcapacity.Optical

computingisafieldwithabrightfuturebecause

ofthenaturalcharacteristicsofphotons,suchasparallelism,highspeed,andhighbandwidth[1,2].Many

achievementsoftheoryandengineeringtechnology

havebeenmadeonthissubjectduringthepastdecades.Theopticalvector–matrixmultiplier(OVMM)

isaveryimportantdeviceintheopticalcomputing

domainasadedicatedprocessor[3].Manystudies

[4,5]focusingonthealgorithmsbasedonvectorand

matrixmultiplicationhavebeenreported,whichimpliestheOVMMcanplayimportantrolesinseveral

fields.

TheOVMMiscomprisedofanopticalsystemand

electricalcircuitsthatprovidethedrivingsignaland

detecttheoutputsignal.Thecoreprocessorofthe

OVMMistheopticalsystem,whichhasbeendemonstratedinavarietyofwayssuchasopticalengineering[6–8],integratedoptics[9],andnonlinearoptics

[10,11].Inthispaper,anopticalmoduleofthe

OVMMbasedonopticalengineeringisproposed.

Itcantransformthewavefrontshapeandcontrolthe

propagationpathofthelightcarryinginformation

withoutcrosstalktoimplementacertainarithmetic

operation.Inordertotransformthebeamshape

precisely,thestructureandtheparametersofthe

systemmustbedeterminedandoptimizedelaborately.Theyarealsoadjustedinconsiderationof

theparametersoftheexistingcommercialoptical

devicesandelectronicdevicesusedinthissystem.

Finally,thesystemshouldbefabricatedaccurately

toensuretheimageryisformedatthecorrectlocationwithacceptableaberrations.

BasicArchitectureandPrinciple

OVMMismainlyusedformatrixmultiplication,vectormatrixmultiplication,matrixmultiplicationoperations.ItsoperationmodeisTypeofStanfordmultiplierstructure.

[34]

Vectormatrixmultiplicationstructureisfunctionallydividedinto:

inputvectors,amatrixlightmodulator,outputvectors.Themainroleoftheinputunitofthelightsourceismodulatedtocarryauniformlightbeamtoinputtotheinformationsignalprocessingunitforeachcolumnofthearray.Themainroleofthesignalprocessingunitisinputopticalsignalstoachievethemultiplicationofthecontrolsignals.Themainroleoftheoutputunitistoconvergethelightofeachrowofthearraytothereceivingunitandoutputstheoperationresultsignals.

Traditionalspaceopticalvectormatrixmultiplierinthestructureconsistsofthefollowingparts:

1)NNon-coherentlightsourcesmakesasourcearray.Itisusedforinputvectors.Usingasphericallensandacylindricalmultiplelenstogetopticalspectralandspatialaggregation.

2)Thematrixthatistobemultipliedisalightmodulatedmatrix.

3)Aftersignalmodulationmatrixoutputsthroughmultiplesetsofsphericallensandacylindricallens,puteverylineoflighttogethertooutputvectorportthatiscomposedofnlightdectectors.Finally,wecanoutputthecalculationresultsthoughanalogtodigitalconverter(ADC).

Theaboveopticalprocessmodelcanbemathematicallyexpressedasanm×nmatrixAandann-dimensionalvectorobtainedbymultiplyingavectorBtogetam-dimensionalvectorC.Take2×2matrixforexample,inputvectorA(a1,a2)multiplythemodulationmatrixBandyouwillgettheoutputvectorC(c1,c2).Asshownintable2.1:

Therearesomeothertheoriesandprinciplesthatareveryusefulandeffective.Duetospacelimitations,theyarenotpresentedoryoumayseetheminthefollowingpages.

Hotpotsoftheoryanddevi

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