Operated by JSA for the U.S. Department of Energy Thomas Jefferson National Accelerator Facility 1 LHeC Workshop, Chavennes-de-Bogis, June 26, 2015 LHeC ERL – Lattice Design Alex Bogacz – Jefferson Lab Dario Pellegrini – EPF Lausanne/CERN Andrea Latina and Daniel Schulte – CERN

Operated by JSA for the U.S. Department of Energy Thomas Jefferson National Accelerator Facility 2 60 GeV ERL Recirculator Complex LHeC Workshop, Chavennes-de-Bogis, June 26, 2015 TOTAL CIRCUMFERENCE ~ 8.9 km (20 GeV per pass)

Operated by JSA for the U.S. Department of Energy Thomas Jefferson National Accelerator Facility 3 60 GeV ERL Recirculator Complex LHeC Workshop, Chavennes-de-Bogis, June 26, 2015 Arc6:  s = /2 TOTAL CIRCUMFERENCE ~ 8.9 km (20 GeV per pass)

Operated by JSA for the U.S. Department of Energy Thomas Jefferson National Accelerator Facility 4 60 GeV ERL Recirculator Complex LHeC Workshop, Chavennes-de-Bogis, June 26, 2015 TOTAL CIRCUMFERENCE ~ 8.9 km (20 GeV per pass)

Operated by JSA for the U.S. Department of Energy Thomas Jefferson National Accelerator Facility 5 Cryo Unit Layout/Optics  Half-Cell FODO 802 MHz RF, 5-cell cavity: = cm L c = 5  cm Grad = 18 MeV/m (16.8 MeV per cavity)  E= MV per Cryo Unit BETA_X&Y[m] BETA_XBETA_YDISP_XDISP_Y Cavity Cryo: 8 RF cavities LcLc ×38 quad Cavity Cryo: 8 RF cavities LHeC Workshop, Chavennes-de-Bogis, June 26, 2015

Operated by JSA for the U.S. Department of Energy Thomas Jefferson National Accelerator Facility 6 10 GeV Linac Optics - Focusing Profile 19 FODO cells (19 × 2 × 16 = 608 RF cavities) E = 0.5  10.5 GeV BETA_X&Y[m] DISP_X&Y[m] BETA_XBETA_YDISP_XDISP_Y quad gradient scaled with momentum LHeC Workshop, Chavennes-de-Bogis, June 26, 2015

Operated by JSA for the U.S. Department of Energy Thomas Jefferson National Accelerator Facility 7 Linac 1  Multi-pass ER Optics LHeC Workshop, Chavennes-de-Bogis, June 26, 2015

Operated by JSA for the U.S. Department of Energy Thomas Jefferson National Accelerator Facility 8 Linac 1 and 2  Multi-pass ER Optics LHeC Workshop, Chavennes-de-Bogis, June 26, 2015

Operated by JSA for the U.S. Department of Energy Thomas Jefferson National Accelerator Facility 9 Vertical Separation of Arcs Arc 1 (10 GeV) Arc 3 (30 GeV) Arc 5 (50 GeV) LHeC Workshop, Chavennes-de-Bogis, June 26, 2015

Operated by JSA for the U.S. Department of Energy Thomas Jefferson National Accelerator Facility 10 Vertical Separation of Arcs Arc 1 (10 GeV) Arc 3 (30 GeV) Arc 5 (50 GeV) LHeC Workshop, Chavennes-de-Bogis, June 26, 2015

Operated by JSA for the U.S. Department of Energy Thomas Jefferson National Accelerator Facility 11 Vertical Spreaders (20 GeV)  Optics Two-step Spreader One-step Spreader Bends (4): $ang= 3 deg. $Lb=400 cm $B=0.9 Tesla Bends (2): $ang= 1.86 deg $Lb=400 cm $B=0.54 Tesla Quads (3): $G=14 Tesla/m Quads (7): $G=22-43 Tesla/m LHeC Workshop, Chavennes-de-Bogis, June 26, BETA_X&Y[m] DISP_X&Y[m] BETA_XBETA_YDISP_XDISP_Y BETA_X&Y[m] DISP_X&Y[m] BETA_XBETA_YDISP_XDISP_Y

Operated by JSA for the U.S. Department of Energy Thomas Jefferson National Accelerator Facility 12 Natural momentum spread due to quantum excitations: Emittance dilution due to quantum excitations: Momentum Compaction – synchronous acceleration in the linacs: Arc Optics – Beam Dynamics Issues LHeC Workshop, Chavennes-de-Bogis, June 26, 2015

Operated by JSA for the U.S. Department of Energy Thomas Jefferson National Accelerator Facility BETA_X&Y[m] DISP_X&Y[m] BETA_XBETA_YDISP_XDISP_Y BETA_X&Y[m]DISP_X&Y[m] BETA_XBETA_YDISP_XDISP_Y BETA_X&Y[m] DISP_X&Y[m] BETA_XBETA_YDISP_XDISP_Y Arc Optics – Emittance preserving FMC cell total emittance increase in Arc 1- 5:   x N = 4.9  m rad Arc 1, Arc2 TME-like Optics DBA-like Optics Imaginary  t Optics Arc 3, Arc 4 Arc5, Arc 6 factor of 20 smaller than FODO LHeC Workshop, Chavennes-de-Bogis, June 26, 2015 Emittance dilution due to quantum excitations:

Operated by JSA for the U.S. Department of Energy Thomas Jefferson National Accelerator Facility 14 Arc 1 Optics (10 GeV) doglegs 58 FMC cells dis. sup. cell 180 deg. Arc dis. sup. cell vert. 2-step spreader vert. 2-step recombiner doglegs Arc dipoles: $Lb=400 cm $B=0.47 kGauss LHeC Workshop, Chavennes-de-Bogis, June 26, 2015

Operated by JSA for the U.S. Department of Energy Thomas Jefferson National Accelerator Facility 15 Arc 3 Optics (30 GeV) doglegs 58 FMC cells dis. sup. cell 180 deg. Arc dis. sup. cell vert. 2-step spreader vert. 2-step recombiner doglegs Arc dipoles: $Lb=400 cm $B=1.37 kGauss LHeC Workshop, Chavennes-de-Bogis, June 26, 2015

Operated by JSA for the U.S. Department of Energy Thomas Jefferson National Accelerator Facility 16 Arc 4 (with bypass) Optics (40 GeV) LHeC Workshop, Chavennes-de-Bogis, June 26, 2015 Arc cells FMC dis. sup. bypass Rec doglegs BETA_X&Y[m] DISP_X&Y[m] BETA_XBETA_YDISP_XDISP_Y BETA_X&Y[m]DISP_X&Y[m] BETA_XBETA_Y Spr dis. sup.

Operated by JSA for the U.S. Department of Energy Thomas Jefferson National Accelerator Facility 17 Vertical Stack  Combined Aperture Arc Dipole × T 60 GeV T 40 GeV T 20 GeV × × × ∙ ∙ ∙ ∙ A. Milanese LHeC Workshop, Chavennes-de-Bogis, June 26, 2015

Operated by JSA for the U.S. Department of Energy Thomas Jefferson National Accelerator Facility 18 SR Energy Loss and RF Compensation LHeC Workshop, Chavennes-de-Bogis, June 26, MHz RF 1604 MHz RF

Operated by JSA for the U.S. Department of Energy Thomas Jefferson National Accelerator Facility 19 SR Energy Loss and RF Compensation LHeC Workshop, Chavennes-de-Bogis, June 26, MHz RF 1604 MHz RF BETA_X&Y[m]DISP_X&Y[m] BETA_XBETA_YDISP_XDISP_Y Spreader RF Compensation

Operated by JSA for the U.S. Department of Energy Thomas Jefferson National Accelerator Facility 20 End-to-End ERL Optics LHeC Workshop, Chavennes-de-Bogis, June 26, 2015

Operated by JSA for the U.S. Department of Energy Thomas Jefferson National Accelerator Facility 21 LHeC Workshop, Chavennes-de-Bogis, June 26, 2015

Operated by JSA for the U.S. Department of Energy Thomas Jefferson National Accelerator Facility 22 LHeC Workshop, Chavennes-de-Bogis, June 26, 2015

Operated by JSA for the U.S. Department of Energy Thomas Jefferson National Accelerator Facility 23 LHeC Workshop, Chavennes-de-Bogis, June 26, 2015

Operated by JSA for the U.S. Department of Energy Thomas Jefferson National Accelerator Facility 24 LHeC Workshop, Chavennes-de-Bogis, June 26, 2015

Operated by JSA for the U.S. Department of Energy Thomas Jefferson National Accelerator Facility 25 LHeC Workshop, Chavennes-de-Bogis, June 26, 2015

Operated by JSA for the U.S. Department of Energy Thomas Jefferson National Accelerator Facility 26 LHeC Workshop, Chavennes-de-Bogis, June 26, 2015

Operated by JSA for the U.S. Department of Energy Thomas Jefferson National Accelerator Facility 27 LHeC Workshop, Chavennes-de-Bogis, June 26, 2015

Operated by JSA for the U.S. Department of Energy Thomas Jefferson National Accelerator Facility 28 LHeC Workshop, Chavennes-de-Bogis, June 26, 2015

Operated by JSA for the U.S. Department of Energy Thomas Jefferson National Accelerator Facility 29 LHeC Workshop, Chavennes-de-Bogis, June 26, 2015

Operated by JSA for the U.S. Department of Energy Thomas Jefferson National Accelerator Facility 30 LHeC Workshop, Chavennes-de-Bogis, June 26, 2015

Operated by JSA for the U.S. Department of Energy Thomas Jefferson National Accelerator Facility 31 LHeC Workshop, Chavennes-de-Bogis, June 26, 2015

Operated by JSA for the U.S. Department of Energy Thomas Jefferson National Accelerator Facility 32 LHeC Workshop, Chavennes-de-Bogis, June 26, 2015

Operated by JSA for the U.S. Department of Energy Thomas Jefferson National Accelerator Facility 33 LHeC Workshop, Chavennes-de-Bogis, June 26, 2015

Operated by JSA for the U.S. Department of Energy Thomas Jefferson National Accelerator Facility 34 LHeC Workshop, Chavennes-de-Bogis, June 26, 2015

Operated by JSA for the U.S. Department of Energy Thomas Jefferson National Accelerator Facility 35 LHeC Workshop, Chavennes-de-Bogis, June 26, 2015

Operated by JSA for the U.S. Department of Energy Thomas Jefferson National Accelerator Facility 36 LHeC Workshop, Chavennes-de-Bogis, June 26, 2015

Operated by JSA for the U.S. Department of Energy Thomas Jefferson National Accelerator Facility 37 LHeC Workshop, Chavennes-de-Bogis, June 26, 2015

Operated by JSA for the U.S. Department of Energy Thomas Jefferson National Accelerator Facility 38 LHeC Workshop, Chavennes-de-Bogis, June 26, 2015

Operated by JSA for the U.S. Department of Energy Thomas Jefferson National Accelerator Facility 39 LHeC Workshop, Chavennes-de-Bogis, June 26, 2015

Operated by JSA for the U.S. Department of Energy Thomas Jefferson National Accelerator Facility 40 LHeC Workshop, Chavennes-de-Bogis, June 26, 2015

Operated by JSA for the U.S. Department of Energy Thomas Jefferson National Accelerator Facility 41 LHeC Workshop, Chavennes-de-Bogis, June 26, 2015

Operated by JSA for the U.S. Department of Energy Thomas Jefferson National Accelerator Facility 42 LHeC Workshop, Chavennes-de-Bogis, June 26, 2015

Operated by JSA for the U.S. Department of Energy Thomas Jefferson National Accelerator Facility 43 LHeC Workshop, Chavennes-de-Bogis, June 26, 2015

Operated by JSA for the U.S. Department of Energy Thomas Jefferson National Accelerator Facility 44 LHeC Workshop, Chavennes-de-Bogis, June 26, 2015

Operated by JSA for the U.S. Department of Energy Thomas Jefferson National Accelerator Facility 45 Summary Multi-pass linac Optics in ER mode Choice of linac Optics  FODO): 3-pass ‘up’ + 3-pass ‘down’ Arc Optics Choice  Emittance preserving lattices Flexible Momentum Compaction Optics Balanced emittance dilution & quasi-isochronicity Complete Racetrack Lattice Architecture Vertical switchyard Matching sections & path-length correcting ‘doglegs’ Bypasses around the IR SR Compensation with second harmonics RF Impact of Synchrotron Radiation – End-to-end simulation Next step… Integrate ERL lattice with the interaction region LHeC Workshop, Chavennes-de-Bogis, June 26, 2015

Operated by JSA for the U.S. Department of Energy Thomas Jefferson National Accelerator Facility 46 Frank Zimmermann Oliver Brüning and Max Klein LHeC Workshop, Chavennes-de-Bogis, June 26, 2015 and special thanks to: Thanks for your attention!