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High Brightness Electron Beam Diagnostics and their ... - CASA

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To Linac entrance<br />

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Figure3.1:Dispersedoverviewofthemainringofthedriveracceleratorcorrespondingtog-<br />

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Quadrupole<br />

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ure2.11.Thepathoftheelectronbeamisindicatedwitharrows.<br />

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180 deg<br />

dipole<br />

Reinjection Line<br />

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dipole<br />

Sextupole<br />

Quadrupole<br />

Sextupole<br />

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To Backleg To Arc 2 (5F)<br />

innitelylongwigglerw=w=(2p2K),withwthewigglerperiod<strong>and</strong>Ktheundulator thebetatronfunctionsarematchedtothewiggler\natural"betatronfunctioneigenvalueofan insuresthebeamlatticefunctionsareproperlymatchedtothedesiredvalueattheundulatorcenter.<br />

parameter(seeChapter2).The\upstream"by-passchicaneprovidefurtherlongitudinalphase Thisregionconsistsoftwoquadrupoletelescopesdisposedupstream<strong>and</strong>downstreamanachromatic chicane.Thetelescopesconsisteachofthreequadrupoles.Thesetwotelescopesprovidesixfree whileinsuringthebeamsizecanstillbecontainedwithinthevacuumchamberwithacceptablylow particlelossviascraping.The-functionsaresupposedtobezeroatthewigglercenterwhereas parameters(thestrengthofthequadrupoles)toadjustthefourTwissparameters(x,y,x,y)<br />

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Afterthewiggler,twoadditionaltelescopeseachcomposedofquadrupoletripletsareusedtomatch theopticallatticefunctionstothedesiredvaluesattheinjectionpoint.Longitudinally,further spacerotationbecauseofitsnonisochronicity(momentumcompaction1R56=28cm).<br />

whereitisdenedastheratioofrelativepathlengthchangeforarelativeenergychange=L=L transportformalism.Thisdenitionisdierentfromtheusualdenition(generallyforclosedorbitaccelerator) phasespacerotationisprovidedbythe\downstream"by-passchicanewhichisidenticaltothe upstreamchicane. Therecirculationloopiscomposedoftwoarcslinkedbyastraightlinesection,termed\backleg" 1ThroughoutthisreportthemomentumcompactionisdenedasthetransfermatrixelementR56=z E=EE=Einthe<br />

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first Telescope<br />

To dump<br />

Fourth Telescope<br />

To Arc 1 (3F)<br />

SRF Linac<br />

<strong>Beam</strong> Direction<br />

Third Telescope<br />

Undulator Magnet<br />

Second Telescope<br />

<strong>Beam</strong> from Injector<br />

Quadrupole<br />

Sextupole<br />

Quadrupole<br />

Sextupole

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