WIXLIB

Options for the LHeC ERL –Performance OptimizationAlex BogaczThomas Jefferson National Accelerator FacilityOperated by JSA for the U.S. Department of EnergyAlex BogaczElectrons for the LHC Workshop, LAL - Orsay, June 27-29, 20181

Overview60 GeV Baseline ERL DesignSynchrotron radiation effects on beam dynamicsChoice of Arc Optics - Emittance preserving latticesBalanced emittance dilution & quasi-isochronicityERL performance - End-to-end simulation50 GeV ERL Options - OptimizationsEmittance dilution due to quantum excitationsCircumference considerationsLattice modularity and scalabilityStaged approachSummaryThomas Jefferson National Accelerator FacilityOperated by JSA for the U.S. Department of EnergyAlex BogaczElectrons for the LHC Workshop, LAL - Orsay, June 27-29, 20182

LHeC Recirculator with Energy Recoveryinjector0.5 GeVLinac 110 GeV/passArc1, 3, 5dump0.5 GeVLinac 210 GeV/passLHCArc 2, 4, 6 l/2IP60 GeVThomas Jefferson National Accelerator FacilityOperated by JSA for the U.S. Department of EnergyAlex BogaczElectrons for the LHC Workshop, LAL - Orsay, June 27-29, 20183

LHeC Recirculator with Energy Recoveryinjector0.5 GeVLinac 110 GeV/passArc1, 3, 5dump0.5 GeVLinac 210 GeV/passLHCArc 2, 4, 6 l/2IP60 GeVThomas Jefferson National Accelerator FacilityOperated by JSA for the U.S. Department of EnergyAlex BogaczElectrons for the LHC Workshop, LAL - Orsay, June 27-29, 20184

LHeC Recirculator with Energy Recoveryinjector0.5 GeVLinac 110 GeV/passArc1, 3, 5dump0.5 GeVLinac 210 GeV/passLHCArc 2, 4, 6 l/2IP60 GeVThomas Jefferson National Accelerator FacilityOperated by JSA for the U.S. Department of EnergyAlex BogaczElectrons for the LHC Workshop, LAL - Orsay, June 27-29, 20185

Synchrotron Radiation EffectsSynchrotron radiated energy:2D E r0 mc2 g 4 I 23I3 ò1Lr0ds 2q,rNatural energy spread due to quantum excitations:Ds E2 55a48 3( hc) g 7 I32I3 ò1Lr0ds 3q,2rEmittance dilution due to quantum excitations:55r0 hc 5De g I52mc24 3I5 Lò0Hr3ds q Hr2,H g D 2 2a DD ' b D '2Thomas Jefferson National Accelerator FacilityOperated by JSA for the U.S. Department of EnergyAlex BogaczElectrons for the LHC Workshop, LAL - Orsay, June 27-29, 20186

Arc Optics – Beam Dynamics IssuesEmittance dilution due to quantum excitations:L55r0 hc 5De g I52mc24 3I5 ò0q Hds ,32rrHH g D 2 2a DD ' b D '2Momentum Compaction – synchronous acceleration in the linacs:L1M 56 I1CI1 ò0Drds q DThomas Jefferson National Accelerator FacilityOperated by JSA for the U.S. Department of EnergyAlex BogaczElectrons for the LHC Workshop, LAL - Orsay, June 27-29, 20187

Arc Optics – Emittance preserving FMC cells55r0 hc 6pgHx2r224 3 mcBETA XBETA YDISP X52.36H 8.8 10-3 m0BETA XBETA YDISP X52.360H 2.2 10-3 mDISP X&Y[m]TME-like Optics-0.50.5500DISP X&Y[m]BETA X&Y[m]-0.5DBA-like OpticsArc 5, Arc 60BETA X&Y[m]0500DISP X&Y[m]00-0.5Quasi-Isochronous Optics0.5Arc 3, Arc 4BETA X&Y[m]500Arc 1 , Arc2H x g x Dx2 2a x Dx Dx' b x Dx'20.5De xN BETA XBETA YDISP X52.36H 1.2 10-3 mThomas Jefferson National Accelerator FacilityOperated by JSA for the U.S. Department of EnergyAlex BogaczElectrons for the LHC Workshop, LAL - Orsay, June 27-29, 20188

Energy Loss and Emittance Dilution in ArcsD arcs D E / EDs D E / 61.1E-041.9E-04Arc 550.53874.6E-067.4E-062.0E-043.9E-04Arc 660.57971.4E-052.1E-053.1E-047.0E-04Arc 550.53874.6E-062.5E-052.0E-048.9E-04Arc 440.51602.2E-062.8E-051.1E-041.0E-03Arc 330.5514.1E-072.81E-055.6E-051.06E-03Arc 220.5111.5E-072.82E-052.1E-051.08E-03Arc 110.512.7E-092.825E-053.9E-061.09E-03Dump0.5arcDe N[m rad ] De N [m rad ]E [GeV]DE [MeV]Arc 110.512.7E-09Arc 220.511Arc 330.5Arc 42.825E-051.09E-03Total Energy Loss [GeV]2.0Normailzed Emittance Dilution before IP [mm mrad]7.4R [m]1000.028.2r [m]743.6Net Normailzed Emittance Dilution [mm mrad]Net Natural Momentum Spread0.001Thomas Jefferson National Accelerator FacilityOperated by JSA for the U.S. Department of EnergyAlex BogaczElectrons for the LHC Workshop, LAL - Orsay, June 27-29, 20189

End-to-End ERL Tracking (Placet 2)*Thomas Jefferson National Accelerator FacilityOperated by JSA for the U.S. Department of EnergyAlex BogaczElectrons for the LHC Workshop, LAL - Orsay, June 27-29, 201810

BETA X&Y[m]1605Cryo Unit Layout/Optics - Half-Cell 1300 FODO 34802 MHz RF, 5-cell cavity:Lc 93.45 cm0quadBETA XBETA YDISP X00LcDISP Y29.6Cavity Cryo: 8 RF cavitiesCavity Cryo: 8 RF cavitiesTop energy [GeV]60Linac energy [GeV]10Cavity gradient [MV/m]20.0Cryo-unit length [m]29.6Energy gain /cryo-unit [MeV]Number of h[m] National Accelerator1006.4Operated by JSA for the U.S. Department of EnergyAlex BogaczElectrons for the LHC Workshop, LAL - Orsay, June 27-29, 201811

BETA X&Y[m]1605Linac for 50 GeV 3-pass ERL 28802 MHz RF, 5-cell cavity:Lc 93.45 cm0quadBETA XBETA YDISP X00LcDISP Y29.6Cavity Cryo: 8 RF cavitiesTop energy [GeV]Cavity50 Cryo: 8 RF cavitiesLinac energy [GeV]Cavity gradient [MV/m]Cryo-unit length [m]Energy gain /cryo-unit [MeV]Number of yLinac length[m] National Accelerator828.8Operated by JSA for the U.S. Department of EnergyAlex BogaczElectrons for the LHC Workshop, LAL - Orsay, June 27-29, 201812

50 GeV ERL Optimized for Synchrotron RadiationE [GeV] DE [MeV] De Narc [m rad ] De N [m rad ]D arcs D E / EDs D E / EArc 18.712.7E-092.7E-094.2E-064.2E-06Arc 217.191.5E-071.5E-072.3E-052.7E-05Arc 325.4434.1E-075.6E-076.1E-058.8E-05Arc 433.71332.2E-062.8E-061.2E-042.1E-04Arc 542.13224.6E-067.4E-062.2E-044.3E-04Arc 650.46641.4E-052.1E-053.4E-047.6E-04Arc 542.13224.6E-062.5E-052.2E-049.8E-04Arc 433.71332.2E-062.8E-051.2E-041.1E-03Arc 325.4434.1E-072.81E-056.1E-051.16E-03Arc 217.191.5E-072.82E-052.3E-051.19E-03Arc 051.19E-03Total Energy Loss [GeV]1.7Normailzed Emittance Dilution before IP [mm mrad]7.4R [m]57828.2r [m]429.8Net Normailzed Emittance Dilution [mm mrad]Net Natural Momentum Spread0.001Thomas Jefferson National Accelerator FacilityOperated by JSA for the U.S. Department of EnergyAlex BogaczElectrons for the LHC Workshop, LAL - Orsay, June 27-29, 201813

0BETA XBETA YDISP XDISP Yvert. 2-step doglegs dis. sup. cellspreader2300.6DISP X&Y[m]600BETA X&Y[m]03060-0.60.6DISP X&Y[m]-0.60BETA X&Y[m]600Arc 3 Optics (25.4 GeV)BETA XBETA YDISP X34 FMC cellsDISP Ydis. sup. cell1998.71doglegsvert. 2-steprecombiner180 deg. ArcArc dipoles: Lb 400 cm B 1.97 kGaussThomas Jefferson National Accelerator FacilityOperated by JSA for the U.S. Department of EnergyAlex BogaczElectrons for the LHC Workshop, LAL - Orsay, June 27-29, 201814

2-nd Harmonics RF Compensation of SR Losses802 MHz RFE [GeV] DE [MeV] comp. cryos90Arc 325.4431Arc 433.71331Arc 542.13223Arc 650.46645Arc 542.13223Arc 433.71331Arc 325.4431Arc 217.190Arc 18.710Dump0.41604 MHz RF0.617.1DISP X&Y[m]Arc 2-0.606001BETA X&Y[m]8.70Arc 10BETA XBETA YSpreaderDISP XDISP Y90RF CompensationThomas Jefferson National Accelerator FacilityOperated by JSA for the U.S. Department of EnergyAlex BogaczElectrons for the LHC Workshop, LAL - Orsay, June 27-29, 201815

60 vs 50 GeV ERL Options – Layout0.5 GeV10.5 GeV30.5 GeVE [GeV]20.5 GeV10 GeV linac0.5 GeV50.5 GeV40.5 GeV60.5 GeVIP10 GeV linac60.0R [m]1000.0Arc [m]3141.6Straight [m]1298.4Circumference [m]8880.060.5 GeV0.4 GeV8.7 GeV25.4 GeV8.3 GeV linac0.4 GeVE [GeV]17.1 GeV33.7 GeV50.4 GeV42.1 GeV8.3 GeV linacIPR [m]50.0578.0Arc [m]1815.8Straight [m]1120.8Circumference [m]5873.350.4 GeV27000/3 900027000/4 675027000/5 5400Thomas Jefferson National Accelerator FacilityOperated by JSA for the U.S. Department of EnergyAlex BogaczElectrons for the LHC Workshop, LAL - Orsay, June 27-29, 201816

50 GeV ERL Small Emittance OptionE [GeV] DE [MeV] De Narc [m rad ] De N [m rad ]D arcs D E / EDs D E / EArc 18.701.8E-091.8E-093.5E-063.5E-06Arc 217.171.0E-071.0E-071.8E-052.2E-05Arc 325.4352.7E-073.8E-075.0E-057.2E-05Arc 433.71091.5E-061.9E-061.0E-041.7E-04Arc 542.12643.1E-064.9E-061.8E-043.5E-04Arc 650.45449.1E-061.4E-052.8E-046.3E-04Arc 542.12643.1E-061.7E-051.8E-048.0E-04Arc 433.71091.5E-061.9E-051.0E-049.1E-04Arc 325.4352.7E-071.89E-055.0E-059.55E-04Arc 217.171.0E-071.90E-051.8E-059.74E-04Arc 18.701.8E-091.899E-053.5E-069.77E-04Dump0.4E [GeV]1.899E-059.77E-0450.0R [m]705.0Arc [m]2214.8R [m]705Straight [m]1120.8r [m]524.2Circumference [m]6671.227000/4 6750Thomas Jefferson National Accelerator FacilityOperated by JSA for the U.S. Department of EnergyAlex BogaczElectrons for the LHC Workshop, LAL - Orsay, June 27-29, 201817

50 GeV ERL Small Emittance OptionE [GeV] DE [MeV] De Narc [m rad ] De N [m rad ]D arcs D E / EDs D E / EArc 18.701.8E-091.8E-093.5E-063.5E-06Arc 217.171.0E-071.0E-071.8E-052.2E-05Arc 325.4352.7E-073.8E-075.0E-057.2E-05Arc 433.71091.5E-061.9E-061.0E-041.7E-04Arc 542.12643.1E-064.9E-061.8E-043.5E-04Arc 650.45449.1E-061.4E-052.8E-046.3E-04Arc 542.12643.1E-061.7E-051.8E-048.0E-04Arc 433.71091.5E-061.9E-051.0E-049.1E-04Arc 325.4352.7E-071.89E-055.0E-059.55E-04Arc 217.171.0E-071.90E-051.8E-059.74E-04Arc 059.77E-04Total Energy Loss [GeV]1.4Normailzed Emittance Dilution before IP [mm mrad]4.9R [m]70519.0r [m]524.2Net Normailzed Emittance Dilution [mm mrad]Net Natural Momentum Spread0.001Thomas Jefferson National Accelerator FacilityOperated by JSA for the U.S. Department of EnergyAlex BogaczElectrons for the LHC Workshop, LAL - Orsay, June 27-29, 201818

25 to 50 GeV ERL – Staging0.4 GeV4.15 GeV linac1:3:54.6 GeV8.7 GeV12.9 GeV0.4 GeV21.3 GeV4.15 GeV linac17.1 GeV25.4 GeV1:2:3IP25.4 GeV0.4 GeV8.3 GeV linac1:3:58.7 GeV25.4 GeV17.1 GeV0.4 GeV42.1 GeV33.7 GeV50.4 GeV1:2:38.3 GeV linacIP50.4 GeVThomas Jefferson National Accelerator FacilityOperated by JSA for the U.S. Department of EnergyAlex BogaczElectrons for the LHC Workshop, LAL - Orsay, June 27-29, 201819

Vertical Switchyard ArchitectureEnergies1:3:5Energies1:2:3Thomas Jefferson National Accelerator FacilityOperated by JSA for the U.S. Department of EnergyAlex BogaczElectrons for the LHC Workshop, LAL - Orsay, June 27-29, 201820

25 GeV ERL Synchrotron Radiation EffectsE [GeV] DE [MeV] De Narc [m rad ] De N [m rad ]D arcs D E / EDs D E / EArc 14.402.8E-112.8E-116.2E-076.2E-07Arc 28.501.6E-091.6E-093.3E-063.9E-06Arc 312.724.3E-095.9E-098.9E-061.3E-05Arc 416.972.4E-083.0E-081.8E-053.1E-05Arc 521.0174.8E-087.8E-083.1E-056.2E-05Arc 625.2341.4E-072.2E-074.9E-051.1E-04Arc 521.0174.8E-082.7E-073.1E-051.4E-04Arc 416.972.4E-082.9E-071.8E-051.6E-04Arc 312.724.3E-092.98E-078.9E-061.70E-04Arc 28.501.6E-092.99E-073.3E-061.73E-04Arc 071.73E-04Total Energy Loss [GeV]0.09Normailzed Emittance Dilution before IP [mm mrad]0.08R [m]702Net Normailzed Emittance Dilution [mm mrad]0.30r [m]522.0Net Natural Momentum Spread0.0002Thomas Jefferson National Accelerator FacilityOperated by JSA for the U.S. Department of EnergyAlex BogaczElectrons for the LHC Workshop, LAL - Orsay, June 27-29, 201821

Summary60 GeV Baseline ERL OptionWell studied design All lattice building blocks are availableHigh modularity and scalability of latticesERL performance validated by End-to-end simulation50 GeV ERL Options - OptimizationsSame performance in terms of synchrotron radiation effectsViable 6.7 km circumference ERL with enhanced performanceStaged approach: ‘adding RF to both linacs’Linear scaling of all magnetsThomas Jefferson National Accelerator FacilityOperated by JSA for the U.S. Department of EnergyAlex BogaczElectrons for the LHC Workshop, LAL - Orsay, June 27-29, 201822

Special Thanks to:Max KleinandOliver BrüningThomas Jefferson National Accelerator FacilityOperated by JSA for the U.S. Department of EnergyAlex BogaczElectrons for the LHC Workshop, LAL - Orsay, June 27-29, 201823

Thank you for yourAttention!Questions?Thomas Jefferson National Accelerator FacilityOperated by JSA for the U.S. Department of EnergyAlex BogaczElectrons for the LHC Workshop, LAL - Orsay, June 27-29, 201824

Backup SlidesThomas Jefferson National Accelerator FacilityOperated by JSA for the U.S. Department of EnergyAlex BogaczElectrons for the LHC Workshop, LAL - Orsay, June 27-29, 201825