基于二维光子晶体全光逻辑门的设计.pdf
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1、文章编号2097-1842(2024)01-0245-07Design of all-optical logic gate based ontwo-dimensional photonic crystalWURong,ZHANGHao-chen*,YANGJian-ye(School of Electronic and Information Engineering,Lanzhou Jiaotong University,Lanzhou 730070,China)*Corresponding author,E-mail:Abstract:Byembeddingalinedefectinatwo
2、-dimensionalphotoniccrystalandusinglinearinterferenceef-fectandwaveguidecoupling,anXNORgateandNANDgatestructurebasedonatwo-dimensionalphotoniccrystalisdesigned.Thebandstructureofthetwo-dimensionalphotoniccrystalisanalyzedbyusingtheplanewaveexpansionmethod.Thetime-domainfinite-differencemethodandthel
3、inearinterferenceeffectareusedtosimulatethestableelectricfielddiagramandthenormalizedpoweroftheXNORgateandNANDgatesontheRsoftplatform.ThesimulationresultsdemonstratethatthedesignedXNORgatehasacontrastof29.5dB,aresponsetimeof0.073ps,andadatatransmissionrateof13.7Tbit/s.Ontheotherhand,thede-signedNAND
4、gatehasacontrastofupto24.15dB,aresponsetimeof0.08ps,andadatatransmissionrateof12.5Tbit/s.Itcanbeseenthatthedesignedstructurehasahighcontrast,shortresponsetime,andfastdatatransmissionrate.Key words:photoniccrystal;logicgate;finitedifferencetimedomainmethod;interference;contrast基于二维光子晶体全光逻辑门的设计吴蓉,张皓辰*
5、,杨建业(兰州交通大学电子与信息工程学院,甘肃兰州730070)摘要:在二维光子晶体中嵌入了线缺陷,利用线性干涉效应和波导耦合,设计了一种基于二维光子晶体的同或门和与非门结构。主要采用平面波展开法对该二维光子晶体的能带结构进行分析,采用时域有限差分法,结合线性干涉效应,在Rsoft 平台对所设计的同或门和与非门进行稳定电场图和归一化功率仿真。仿真结果标明:设计的同或门对比度高达29.5dB,响应时间为 0.073ps,数据传输速率为 13.7Tbit/s;设计的与非门对比度高达 24.15dB,响应时间为 0.08ps,数据传输速率为 12.5Tbit/s。这些结果表明所设计的结构对比度高、响
6、应时间短和数据传输速率快。关 键 词:光子晶体;逻辑门;时域有限差分法;干涉;对比度中图分类号:TN256文献标志码:Adoi:10.37188/CO.EN-2023-0014收稿日期:2023-07-28;修订日期:2023-08-07基金项目:甘肃省自然科学基金(No.21JR7RA289)SupportedbyNaturalScienceFoundationofGansuProvince(No.21JR7RA289)第17卷第1期中国光学(中英文)Vol.17No.12024 年 1 月ChineseOpticsJan.20241IntroductionPhotons have fast
7、er propagation speed andgreaterinformation-carryingcapacity,makingthemincreasingly favored over electricity as a form oflightandwithpromisingfutureapplications.Asakeycomponentinopticalinformationstorageandprocessing,theall-opticalswitchhasbecomeanewdeviceforopticalcommunicationandcomputing1.Although
8、photonicdevicesaregraduallyreplacingelectronicdevicesinmanyareas,electronicdevicesstilldominatethemarket2.Oneofthemainreasonsisthelackofpracticalall-opticalswitchesandlogicgates3.Sinceall-opticallogicgatescanenableop-ticaldevicestoachievedifferentoutputresultsun-derdifferentinputconditions,theycanal
9、soachievespecificlogicoperationfunctionsthroughtheinter-actionbetweenlightwaves4.Photoniccrystalsaresyntheticartificialmateri-alsformedbyperiodicarrangementofmediawithdifferentrefractive indexes.According to the di-mension,photoniccrystalscanbedividedintoone-dimensional,two-dimensional,and three-dim
10、en-sional photonic crystals.Compared to one-dimen-sionalphotoniccrystals,two-dimensionalphotoniccrystalshavesmallerlimitationsandawiderapplic-ationrange.Comparedtothree-dimensionalphoton-iccrystals,two-dimensionalphotoniccrystalshaveasimplerstructure,requireamoreskilledprepara-tion process,exhibit a
11、 higher fault tolerance rate,andthefinialproductperformanceisbetter.Photon-ic crystals have two unique properties:photonicbandgapandphotoniclocalization.Photonicbandgapscanmakesurethelightwaveswithinaspecif-ic wavelength range transmit.Numerous opticaldevices with significant practical value haveeme
12、rgedduetothetwocharacteristicsofphotoniccrystals,includingopticalswitches5-6,opticalwave-length division multiplexers7,optical sensors8-9,withtheadvantagesofsimplestructures,lowmanu-facturingcomplexity,andeasyintegration.In the process of optical communication andopticalcomputing,inordertosolvethepr
13、oblemoflowconversionefficiencyandlargelossoflightandelectricity,theall-opticalnetworkhasbecomeoneoftheresearchhotspots.All-opticallogicgates,asthebasisoftheall-opticalnetwork,havereceivedextensiveattentionfromresearchers10.In2017,WuRet al.11proposedNORandNOTall-opticallo-gicgates.Theall-opticallogic
14、gateismainlycom-posed of four photonic crystal waveguides ports.Its compact size and quick response speed makeitahighlyefficientcomponent.In2019,SunXWet al.12usedlinearinterferenceprincipleandself-collimation effect to design all-optical logic gatessuchasXNOR,NOT,whichpossesssimplestruc-ture,smallsi
15、zeandhighcontrast.In2022,Zhanget al.13throughintroducingdefectsintheperfectlatticeanddesignedanall-opticalhalf-adderstruc-turecomposedofANDandXOR.ThecontrastofCARRYandSUMreached8.36dBand15.34dB,respectively,andtheresponsetimewas3.63ps.Onthebasisofpreviouswork,wemainlyad-optwaveguidecouplingandlinear
16、interferenceef-fectstodesignall-opticalstructuresforXNORandNANDoperationsbasedontwo-dimensionalpho-toniccrystals.Thisexpandstherangeofall-opticallogicgatesbasedontwo-dimensionalphotoniccrys-tals.The designed structure is simulated and ana-lyzedusing the Rsoft simulation platform,com-binedwiththeplan
17、ewaveexpansionmethodandthefinitedifferencetimedomainmethod.Itisfoundthatthedevicesizeofthestructureissmall,thecon-trastishigh,theresponsetimeisshort,andthesta-bilityisgood.2TheoryInthisstudy,aphotoniccrystalwithsquarelat-ticeisused.Thebackgroundmaterialisair,andthecirculardielectriccolumnmaterialiss
18、ilicon.There-fractiveindexofthedielectriccolumnis3.46,thelatticeconstantais0.506m,andtheradiusofthe246中国光学(中英文)第17卷dielectriccolumnRis0.2a.Toinvestigatetheoperationalfrequencyrangeofthedevice,theplanewaveexpansionmethodisusedtoobtaintheenergybanddiagramshowninFig.1.Thesymbols,XandMinthefigurerepres-
19、ent the coordinates of the reciprocal space in theBrillouinzone.ItcanbeseenfromFig.1thattherearetwophotonicbandgapsinphotoniccrystalsonlyintheTEmode,andthehighfrequencyregiondis-playsanarrowbandgap.Thenormalizedfrequencyis1.3361.3780(a/2c),withacenterfrequencyof 1.357(a/2c).The band gap in the low f
20、re-quencyregionisnarrow,thenormalizedfrequencyis0.5490.800(a/2c)andthecenterfrequencyis0.6745(a/2c).To enhance the output perform-ance,awavelengthof1.361.38mhasbeenselec-ted.210Frequency(a/2c=a/)XMFig.1EnergybanddiagramofTEmodeofphotoniccrys-talAccordingtothewaveguidetheory,itissug-gested that two o
21、ptical signals transmitted in thesamepathexperiencephase-lengthandphase-can-cellation interference13.When the transmissionphasedifferencebetweentwobeamsofopticalsig-nalsis2m(m=0,1,2,),thetwoopticalsignalsaresuperimposedoneachother,resultinginphase-lengthinterferenceoccursbetweentheopticalsig-nals.Th
22、isenhancesthesignalstrengthattheoutputend,makingitstrongerthananyindividualbeamofopticalsignals.Whenthephasedifferencebetweenthetwoopticalsignalsequals(2m+1),thetwooptical signals are partially cancelled,resulting indestructiveinterferenceoccursbetweentheopticalsignals.Consequently,thesignalstrength
23、attheout-putendisweakerthanthatofanyotheropticalsig-nal.ContrastCRandresponsetimearetwocrucialindicatorstomeasureall-opticalswitches.ContrastCR=10lg(T1/T0)14-15,whereT1representsthetrans-mittancewhentheoutputportislogically1,andT0representsthetransmittancewhentheoutputportislogically0.Thehighertheco
24、ntrastoftheall-optic-allogicgate,themoresensitiveandmorestableitsperformance.Theresponsetime,alsoknownastheadjustmenttime,isthedurationrequiredfromthebeginning of the output to stable output.Uponreachingthestableoutput,therewillbeacertainer-ror,knownastheerrorband,withavalueof5%ofthestableoutputvalu
25、e16.3Designandsimulation3.1NORAB=AB+AB=A+B+A+B=(A+B)1+(A+B)1(A+B)1(A+B)1=1Allcomplexlogiccanbeexpressedintheformofsimpleand,or,not.Thisprincipleisfullyreflec-tedinthedesignprocessofall-opticallogicgates.BytransformingXORlogicusingtheinver-siontheorem,itisobtainedthattheNORgatecanbe formed through ca
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