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EEXs for Bunch Compression

EEXs for Bunch Compression. A. Meseck. Motivation: avoid correlated energy deviation Idea:. Electron. beam. metamorphose. EEX1 Exchange Z↔X. EEX2 Exchange X↔Z. Quad focuses X Before EEX2. A. Meseck. Horizontal phase space. Beam energy= 7.5 GeV Horzontal : Norm.emitt =0.3mm mrad

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EEXs for Bunch Compression

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  1. EEXs for Bunch Compression A. Meseck

  2. Motivation: avoid correlated energy deviationIdea: Electron beam metamorphose EEX1 Exchange Z↔X EEX2 Exchange X↔Z Quad focuses X Before EEX2 A. Meseck

  3. Horizontal phase space Beam energy= 7.5 GeV Horzontal: Norm.emitt=0.3mm mrad Betax=30m Alphax=0 Longitudinal: 2ps rms pulse duration 2e-4 rms relative energy spread 100 pC Exchanged L L L Exchanged L1 L1 L Horzontal: Norm.emitt=1.7mm mrad Betax=86m + ISR BUT NO CSR Longitudinal: 0.25ps rms pulse duration 1.63e-3 rms relative energy spread 100 pC beam.in 2m ; ~30MeV L L 2m; ~30MeV L Quad=> Lquad=0.5m G=2-3T/m Large Aperture ~ 10cm L L=20m L1=10m Dipole=> Ldipol=15m, r=90m ~ 280m Longitudinal phase space

  4. BMAD-STANDARD X’ [rad] X’ [rad] X’ [rad] X [m] X [m] X [m] Horzontal: Norm.emitt=0.3mm mrad Betax=30m Alphax=0 Horzontal: Norm.emitt=1.7 mm mrad Due to ISR! Can not be reduced as there are larger beta-amplitudes involved in the exchange process Betax=86m (at the end) Horizontal phase space

  5. BMAD-STANDARD σγ/γ σγ/γ σγ/γ σz [m] σz [m] σz [m] Longitudinal: 2ps rms pulse duration 2e-4 rms relative energy spread 100 pC Longitudinal: 0.25ps rms pulse duration 1.63e-3 rms relative energy spread No way to avoid this! 100 pC Longitudinal phase space

  6. Taylor map 1 order More realistic phase space distribution + NO ISR NO CSR X’ [rad] X’ [rad] σγ/γ σγ/γ Horzontal: Norm.emitt=0.3mm mrad Betax=24m Horzontal: Norm.emitt=0.3mm mrad Betax=30m Alphax=0 X [m] X [m] σz [m] σz [m] + NO ISR, NO CSR Longitudinal: 0.23ps rms pulse duration 1.63e-3 rms relative energy spread 100 pC Longitudinal: 2ps rms pulse duration 2e-4 rms relative energy spread 100 pC

  7. Taylor map 3 order More realistic phase space distribution + NO ISR NO CSR σγ/γ X’ [rad] X’ [rad] σγ/γ Horzontal: Norm.emitt=0.315mm mrad Betax=23m Horzontal: Norm.emitt=0.3mm mrad Betax=30m Alphax=0 X [m] σz [m] σz [m] X [m] + NO ISR + NO CSR Longitudinal: 0.25ps rms pulse duration 1.63e-3 rms relative energy spread 100 pC Longitudinal: 2ps rms pulse duration 2e-4 rms relative energy spread 100 pC

  8. Taylor map 3 order More realistic phase space distribution + ISR NO CSR σγ/γ X’ [rad] X’ [rad] σγ/γ Horzontal: Norm.emitt=1.47mm mrad Betax=90m Horzontal: Norm.emitt=0.3mm mrad Betax=30m Alphax=0 X [m] σz [m] σz [m] X [m] + ISR BUT NO CSR Longitudinal: 0.25ps rms pulse duration 1.63e-3 rms relative energy spread 100 pC Longitudinal: 2ps rms pulse duration 2e-4 rms relative energy spread 100 pC

  9. Taylor map 3 order More realistic phase space distribution + NO ISR +CSR X’ [rad] X’ [rad] σγ/γ σγ/γ Horzontal: Norm.emitt=3.18 mm mrad Betax=68m Horzontal: Norm.emitt=0.3mm mrad Betax=30m Alphax=0 X [m] X [m] σz [m] σz [m] CSR but no ISR Longitudinal: 0.247ps rms pulse duration 1.63e-3 rms relative energy spread 100 pC Longitudinal: 2ps rms pulse duration 2e-4 relative energy spread 100 pC

  10. Taylor map 3 order More realistic phase space distribution Comparison ISR with CSR σγ/γ σγ/γ X’ [rad] X’ [rad] Horzontal: Norm.emitt=0.3mm mrad Betax=30m Alphax=0 σz [m] σz [m] X [m] X [m] Longitudinal: 2ps rms pulse duration 2e-4 relative energy spread 100 pC

  11. Taylor map 3 order More realistic phase space distribution ISR + CSR X’ [rad] X’ [rad] σγ/γ σγ/γ Horzontal: Norm.emitt=3.66 mm mrad Betax=65m Horzontal: Norm.emitt=0.3mm mrad Betax=30m Alphax=0 X [m] X [m] σz [m] σz [m] CSR and ISR Longitudinal: 0.247ps rms pulse duration 1.63e-3 relative energy spread 100 pC Longitudinal: 2ps rms pulse duration 2e-4 relative energy spread 100 pC

  12. 7.5 GeV beam (rf curvature included): norm_emitt _x beta_x rms pulse length rms energy spread Initial 3.00000000E-07 3.00000000E+01 5.99585000E-04 2.00000000E-04 Final-thridorder 3.14928525E-07 2.30628088E+02 7.46578955E-05 1.63872330E-03 Final-ISR-noCSR 1.46982166E-06 9.00624160E+01 7.48045872E-05 1.63882406E-03 Final-ISR-CSR 3.66210475E-06 6.53924997E+01 7.41145508E-05 1.63599854E-03 1GeV beam (rescaled EEX Compressor ; rf curvature not included, BMAD-STANDARD): norm_emitt _x beta_x rms pulse length rms energy spread Initial 3.00000000E-07 3.00000000E+01 5.99585000E-04 5.00000000E-05 Final-ISR-noCSR 3.07024662E-07 1.42481898E+02 2.93357319E-05 1.03152631E-03 Final-ISR-CSR 4.49764204E-06 2.69827366E+01 3.24663673E-05 1.00185760E-03 According to Zholents (PAC2011), there is a chance that an increase in initial betafuction reduces the 2D CSR.

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