High Brightness Electron Beam Diagnostics and their ... - CASA
High Brightness Electron Beam Diagnostics and their ... - CASA High Brightness Electron Beam Diagnostics and their ... - CASA
FromthesebothmeasurementitispossibletodeducetheR56oftheby-passchicanes:Usingthe nominalsettingsmeasurementwend:Rchic trimquadrupoleinarc1bothpoweredandturnedo.Itisseenthelevelofagreementisexcellent. TypicalR56measuredandexpectedforthewholerecirculation,i.e.fromthecryomoduleexitup toitsentranceisapproximately-20cmforthenominalsetupusedatthattime(February1999). themagneticopticcodedimad.Wehaveperformedthemeasurementatbothlocationwiththe formedandiscomparedinthisgurewiththeexpectedmomentumcompactioncomputedusing mentumcompactionfromthelinacexituptothepickupcavity#3.Theresultsarepresentedinexcitationbysystematicallyvaryingthequadrupolesstrengthandeachtimemeasuringthemo- valuesof28cm.WehaveattemptedtoquantifytheR56dependenceonthetrimquadrupoles thecodeseemstobeaverygoodtooltopredicttheR56evolutionaroundtherecirculation. theverygoodagreement,with2cmbetweenthemeasuredR56forthechicanesanditsdesign gure3.19wherewecomparedthemeasurementwithnumericalsimulationusingthedimadcode; 56'29:60cmandRarc 56'23:51cm,againwecannote Wehavecarriedaqualitativestudyofthesextupoleeectontheenergy-phasetransferfunction. EectsoftheSextupoles Theexperimentconsistedofmeasuringthehinjoutitransferfunctionusingthepickupcavity number3.Duringthemeasurementthetrimquadareun-powered.Ingure3.20,wepresentthe 3.4.8ConcludingRemarksontheLongitudinalResponseMeasurement tointroducedapositivenon-linear(quadratic)curvature.Againonecanusethesameschemeas weusedbeforeandcomparenottheabsolutetransfermap,butrelativetransfermapi.e.compare thealgebraicdierencehinjoutionhinjoutioffforthesimulatedandmeasuredset. measuredtransferfunctions.Quantitativelythereissomedisagreementbetweenthesimulatedand measureddata.Howeveritisseenthatthesextupolehavethesameeect:whenturnontheytend Inthissectionwehaveshowedthat: 2.phase-phasemapcanbeusedtosetthelatticei.e.tooperateinisochronousmode,e.g.by 1.phase-phaserstordermapandnonlinearitiesmeasuredcanberatherwellreproducedwith spacechargeforce. makingsurethemapbeforeandafterasectionisapproximatelythesame latticecompressionrate,practically,andespeciallyinthelowenergyregion,wherethebeam isinaspace-charge-dominatedregime,thecompressionisstronglyinuencedbycollective theparmelacode.Alsoitcanbeusedtodeduceboththecompressionratebetweenthepoint ofmeasurement(pickupcavitylocations)andthephoto-cathodesurface;ofcoursethisisa 4.energy-phasetransfermapcanalsobeusedtocharacterize,withhighaccuracytheeect 3.energy-phasetransfermap,cangivewithfairlygoodaccuracythemomentumcompactionofa ofthesextupoleonthelongitudinaldynamics,alsointhepresentworkwewerenotable R56'12cmfromthecryomoduleexittothearc3F.Whichgivetheforthesectionwiggler tolinacentranceR56'+16cmveryclosetothedesiredvalueof20cm. section.Wehavemeasuredthemomentumcompactionoftherecirculationtoapproximately
topreciselyextracttheT566termprobablybecauseofmis-centeringinthearcstransport, itcouldbeuseforsuchpurposetoeasethepathlengthcorrectionrequiredbyintroducing linearandhighorderenergychirp.
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topreciselyextracttheT566termprobablybecauseofmis-centeringinthearcstransport,<br />
itcouldbeuseforsuchpurposetoeasethepathlengthcorrectionrequiredbyintroducing<br />
linear<strong>and</strong>highorderenergychirp.
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