SuperKEKBLa,cetransla2on

DeminZhou

Acknowledgements:M.Biagini(INFN),E.Forest,S.M.Liuzzo(ESRF),D.

Sagan(CornellUniv.),L.Deniau(CERN)

MAD-XmeeHng,CERN,Sep.22,2016

Outline

2

➤Introduc2on➤Currentstatus●La,cetransla2onwithoutsolenoid➤SuperKEKBla,cetransla2on●Withsolenoid●Withoutsolenoid➤Summary

1. Introduction

3

➤Mo2va2on●AcceleratorphysicschallengesinSuperKEKB:DA,life2me,luminosity,background,etc.

0

0.5

1

1.5

2

2.5

3

0 0.4 0.8 1.2 1.6 2 2.4

Spec

ific

Lum

. [10

32cm

-2s-1

mA-2

]

Ibunch(e+)×Ibunch(e-) [mA2]

BBWSSAD+BB

BBWS+Chrom.Design

Ref.D.Zhouetal.,IPAC’13,TUPME016.

1. Introduction

4

➤Mo2va2on●SuperKEKBasademonstratorforFCC-ee

Ref.F.Zimmermannetal.,IPAC’14,MOXAA01.

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➤AdvantagesofSAD●Symplec2cintegrator,op2csmatching,beamenvelope,…●Advancedprogrammingusingmathema2ca-likescriptlanguage●HandlingcomplicatedIR(MULTelements,Arbitrarymap,etc.)●Collec2veeffects(IBS,beam-beam,beamstrahlung,etc.)●Otherfancyfeatures(refertoh]p://acc-physics.kek.jp/SAD/index.html)

1. Introduction

2. Current status

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➤La,cetransla2on:MAD-XtoSAD●MAD-XinputandsequencetoSADinput●Variouselements:Mostlystraighcorward(personalunderstanding)●Transla2ngaCLICFFSbeamlinetoSADlookssuccessful(WorkingwithPaulThrane).Othercases:BEPC,ILCDR,etc.●Forlargefiles,weneedatranslator.SADscriptfromH.Koisoisavailable,buttobegeneralisedandimproved

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➤AcomparisonofMAD-XandSAD:CLICFFS●LinearTwissfunc2onsperfectlyagree●MomentumdependenceofTwissfunc2ons

CourtesyofPaulThrane

2. Current status

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➤AcomparisonofMAD-XandSAD:CLICFFS●Tracking:CoordinatesatIPasaresponsetotheini2aloffset(byPaulThrane)●Nonlineartransforma2onsfornormalcomponentsdiffer?●Fringefieldeffectsmaymakedifference(myunderstanding)

CourtesyofPaulThrane

2. Current status

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➤La,cetransla2on:SADtoMAD-X●Atranslatorwri]eninSADscriptisavailable,andusedtopublishFCC-eela,ces.Tobeextended(K.Oide)●MULTelementwithKn(n=1,2,…)superimposedbysolenoidfieldisthemostdifficult(A.Morita).NotsuccessfulinthecaseofKEKB/SuperKEKB●Withoutsolenoidfield:mostlystraighcorward.SucceededinFCC-ee(K.Oide)➤SADmanualisunderprepara2on●Noteasybutshouldbeavailablein2017●Requestsfromusersarealwayswelcome

2. Current status

3. SuperKEKB lattice translation

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➤Normalcomponents●IfL=0,Kn(SAD)=Kn(MAD-X)●IfL≠0,Kn(SAD)=Kn(MAD-X)*L➤DRIFT●SADusesexactHamiltonian/transforma2onfortracking●MAD-Xusessecond-ordermap(?)●NeedextraMATRIXelementforbe]erapproxima2onwhentheangleoftheclosedorbitislarge.Forlargeamplitudepar2cles,thiss2llhaslimita2ons➤BENDelement●BENDwithANGLE≠0defineslayout,equivalenttoRBENDorSBENDinMAD-X●BENDwithANGLE=0butK0≠0worksasakickerorsteeringmagnet.HybridcomponentwithK0≠0andKn≠0(n≥1)needspecialtreatment

3. SuperKEKB lattice translation

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➤Fringefields●Hard-(orMaxwellianfringefield)andsoo-edgefringes(inducelinearandnonlineareffects)areimportantinSuperKEKB●TreatmentsofMAD-XaredifferentfromSAD●PTCinMAD-XissimilartoSADbuthas2nydifferences.➤SOLelement●Tiltedwithcrossingangle●Fringefields●Referencetrajectoryisalignedwiththesolenoidaxistosimplifythetransforma2on➤SADMULTelement●Verygeneraltype:includefieldcomponentsofsolenoid,mul2pole(K0toK21,SK0toSK21),fringes,andevenRFfields.●NoequivalentelementinMAD-X●VeryimportantinSuperKEKB(superimposedfieldsofdetectorsolenoids,FFquadsandothers)

3. SuperKEKB lattice translation

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➤Shioinlongitudinalzcoordinateofapar2cle●Automa2callydoneinSADtocounteractadifferencebetweenthelengthofthereferenceorbitandtheclosedorbit●LikelynosimilartreatmentinMAD-X(?)➤Forphase-3la,ce(w/IR)●D.SagantriedSAD=>Bmad=>MAD-X●UseMAD-XMATRIXelement(containsnonlinearmapinsecondorderofphasespacecoordinates?)toapproximatefringesandSADMULTcomponents●NeedPTCintegratedintoBmadtoconstructtheMAD-XMATRIXelement➤Forphase-1la,ce(w/oIR)●S.M.Liuzzo(ESRF)triedSAD=>AT=>MAD-X●AlmostOKexcepttreatmentofquadsoo-edgefields●DirectSAD=>MAD-Xispossible(nottriedyet)

3. SuperKEKB lattice translation

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➤MAD-Xmodelofphase-1la,ce(w/oIR)●ClosetoSAD●Expectedbe]eragreementifquadsoo-edgefringesincluded

CourtesyofS.M.Liuzzo

3. SuperKEKB lattice translation

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➤MAD-Xmodelofphase-3la,ce(w/IR)●ClosetoBmad(≈SAD)asabeamline(notaring)●Notgoodforaringtodoop2cstuningandadvancedstudies

CourtesyofD.SaganandM.Biagini

4. Summary

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➤MAD-X<=>SADla,cetransla2on●Mul2-purpose:tosupportcollabora2onsbetweenlabs(KEK,CERN,INFN,IHEP,etc.)ondifferentprojects(SuperKEKB,FCC-ee,CEPC,LHC,etc.)●Undergoingsmoothly●Welcomerequestsandcollaborators(GreatforPhDcandidatesandpostdocstoimprovefuturecommunica2ons)●NeedhelpfromMAD-Xexpertsforspecialelements(fringes,solenoid,etc.)➤SuperKEKBla,cetransla2on●Looksgoodw/osolenoid(exceptquadsoo-edgefringes)●Notsa2sfyingw/solenoid