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161Vol.16,No.120041HIGHPOWERLASERANDPARTICLEBEAMSJan.,2004:100124322(2004)0120068205X,,,(,610054):MAFIA,,:;;;MAFIA:TN124:A,(PPM),,,,[1]PPM,PPM,,,,[2]PPM,,,,,1[36],Mendel[3]Mendel:1.,2.,3.PPMBz,Bz=B0cos[(2/L)z](1):B0PPM;L4.,,Mendel22Dd2dZ2+[1+cos(2Z)]-=0(2):=r/rp,rp;Z=2z/L;=L2B20/642U,,U;=L2P/16320r2p,,0,,PMendel(2),:(2),,=,B0=2Bb,,0.66,X:2003205213;:2003207216::(1973),,,CAD;E2mail:[e-mail]©1995-2005TsinghuaTongfangOpticalDiscCo.,Ltd.Allrightsreserved.,,,,,,,,,,,32DMAFIA[7](solutionofMAxwellsequationsbytheFinite2IntegrationAlgo2rithm)32D22DPPM,,[8]32D,[9],,,2MAFIAPPM,PPMV0=7600V,I0=200mA,r0=0.5mm,b=1mm,1Sm2Co17,DT4,8.75mm,1.65mm,L=12.4mmPPM,,,B2H[10]2PPMBz,B00.181T,1.07%,,,[1],,,,,Bz,,,514%,1.5r08.2%,,Fig.122Dsectiongeometryofperiodicpermanentfocusingstack1PPM22DFig.2SimulatedandanalyticalBzonthePPMcenteraxisvsz2PPM961:©1995-2005TsinghuaTongfangOpticalDiscCo.,Ltd.Allrightsreserved.3MAFIA3Dparticle2in2cell(PIC)PPMPIC,[7](101215cm-3),,CPU,(),,,Q200mA,7600V(=0.071)PPM5(),,,,,,=kTcCr/m(3):k;Tc;Cr=(rc/r95)2,rc,r9595%,,3,4,1,1.5,25Fig.322DbeamprofilesforseveralperiodsofPPMstackwithoutinitialtransversalvelocity(a)1Brillouinfield,(b)1.5Brillouinfield,(c)2Brillouinfield322D(a)1,(b)1.5,(c)2Fig.422DbeamprofilesforseveralperiodsofPPMstackwithinitialtransversalvelocity(a)1Brillouinfield,(b)1.5Brillouinfield,(c)2Brillouinfield422D(a)1,(b)1.5,(c)2,,,,,,,,,1,59%,1.08mm,,,100%1.5,,,,100%2,,,,0.3P,Cr=38.4,1.6,,,30716©1995-2005TsinghuaTongfangOpticalDiscCo.,Ltd.Allrightsreserved.Fig.5Beamcharacteristicswithout/withinitialtransversalvelocitiesusingseveraltimesBrillouinfield(a)themaximumandminimumradiuscontain95%current,(b)thepercentrippleofelectronbeams5((a),(b)),,1,,2(1caseC),,,,2(1caseD),(),,12Table1Beamcharacteristicswithout/withinitialtransversalvelocitiesusingtwiceBrillouinfieldforvariousentranceconditionsmagnetstrengthoffirst3magnetsRmax/mmRmin/mmripple/%conditionpercentofpeakstrength/%caseA:(100,100,100)0.700.1172.8caseB:(70,90,100)0.720.1369.4WithoutinitialtransversalcaseC:(50,100,100)0.680.1956.3velocitydistributioncaseD:(120,100,100)0.930.0786.0caseA:(100,100,100)0.750.0978.6caseB:(70,90,100)0.830.1569.4WithinitialtransversalcaseC:(50,100,100)0.850.1471.7velocitydistributioncaseD:(120,100,100)0.630.2248.24MAFIA,Bz,,,32DPIC,,,,,!171:©1995-2005TsinghuaTongfangOpticalDiscCo.,Ltd.Allrightsreserved.:[1].[M].:,1981.(ElectronicTubeDesignHandbookEditorialCommittee.Microwavetubeelectronopticssystemdesignhandbook.Beijing:NationalDefenseIndustryPress,1981)[2]KoryCL.Three2dimensionalsimulationsofPPMfocusedhelicaltraveling2wavetubes[D].ClevelandStateUniv,Cleveland,OH,2000.[3]MendelJT,QuateCF,YocomWH.Electronbeamfocusingwithperiodicpermanentmagnetfields[J].ProcIRE,1954,42:800810.[4]ClogstonAM,HeffnerHH.Focusingofanelectronbeambyperiodicfields[J].JApplPhys,1954,25:436447.[5]WangCC.Electronbeamsinaxiallysymmetricelectricandmagneticfields[J].ProcIRE,1950,38(2):135147.[6],,,.[J].,2002,14(5):739742.(YangJH,ZhangYZ,ZhangJD,etal.PropagationofannularIREBinperiodicpermanentmagneticfield.HighPowerLaserandParticleBeams,2002,14(5):739742)[7]TheMAFIACollaboration.MAFIAusermanualversion4.0.25[M].Germany:CSTInc,2000.[8],,.[J].1997,25(6):9497.(SunY,QuX,TangTT.ComputersimulationoffocusingperformanceofPPMsfocusingsystemindirectcurrentstate.ActaElectronicaSinica,1997,25(6):9497)[9]KoryCL.EffectofgeometricazimuthalasymmetriesofPPMstackonelectronbeamcharacteristics[J].IEEETransElectronDevices,2001,48(1):3844.[10].[M].:,1981.(ElectronicTubeDesignHandbookEditorialCommit2tee.Microwavetubemagnetcircuitdesignhandbook.Beijing:NationalDefenseIndustryPress,1981)ComputersimulationofelectronbeamcharacteristicsfocusedbyperiodicpermanentmagnetsLIAOPing,YANGZhong2hai,LEIWen2qiang,LIAOLi(SchoolofPhysicalElectronics,UniversityofElectronicScienceandTechnologyofChina,Chengdu610054,China)Abstract:Afullythree2dimensional(32D)ofanelectronbeamopticalmodelfocusedbyaperiodicpermanentmagnet(PPM)stackhasbeendevelopedusing32Dparticle2in2cell(PIC)codeofMAFIA,thestaticmagneticfieldandelectronbeamtransmissionchar2acteristicsweresimulatedusingstaticsolverandPICmodule.ThecharacteristicsoftheelectronbeamconfinedbythePPMstackarean2alyzedandtheeffectsofthepeakmagneticfluxdensity,magnetictapering,initialtransversalvelocitydistributionaremainlydiscussed.SomeusefuldataareobtainedforthePPMstackengineeringdesignandoptimization.Keywords:PPMfocusing;Beamtransmissioncharacteristics;32DPICsimulation;MAFIA2716©1995-2005TsinghuaTongfangOpticalDiscCo.,Ltd.Allrightsreserved.