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Free-Electron Laser at the TESLA Test Facility XFEL simulations with GENESIS [email protected] Outline: •Undulator layout (real/simulated) •Matching •Genesis input files •Post-processing •Genesis output B. Faatz S2E workshop, August 18-22, 2003 1 Free-Electron Laser at the TESLA Test Facility Undulator description: real Matching section Ls L Undulator segment c Phase shifter combined with horizontal corrector Focusing Defocusing quadrupole Parameters Symbol Value Unit Undulator segment length Ls 5 m Undulator cell length Lc 6.1 m Undulator gap g 10 mm lu 48 mm 192 mm 20 T/m Undulator period (SASE1) Quadrupole optical length Quadrupole gradient at 20 GeV B. Faatz Vertical corrector Q S2E workshop, August 18-22, 2003 2 Free-Electron Laser at the TESLA Test Facility Undulator description: simulated Undulator segment Focusing Defocusing quadrupole • Increased quadrupole length in order to increase stepsize (adjusted gradient) • Automatic phase matching between undulators Actual undulator geometry is defined in the magnet lattice file B. Faatz S2E workshop, August 18-22, 2003 3 Free-Electron Laser at the TESLA Test Facility Matching at the undulator entrance Electron beam information starts with output from Elegant (In this example until the undulator entrance with 200k particles) Elegant2genesis (SDDS toolkit)* •Check # slices/# particles per slice •Adjust initial a and b for optimal slice •Adjust initial offset and angle for optimal slice •Add wakefield along the undulator 1e-9 100 *elegant2genesis <input.file> <output.file> -totalCharge= <charge> -slices= <#slices> B. Faatz S2E workshop, August 18-22, 2003 4 Free-Electron Laser at the TESLA Test Facility Genesis input •E-beam slice file (Elegant2genesis+match) •“Elegant2genesis” produces global beam parameters for each slice •“match” adjusts <x>, <y> and <x’>, <y’> for slice with maximum current •Magnetic lattice file •Genesis namelist input (Numerical and IO-parameters, …) From global parameters, Genesis fills the 5D+1 phase space with a Gaussian distribution B. Faatz S2E workshop, August 18-22, 2003 5 Free-Electron Laser at the TESLA Test Facility 20 40 12 60 80 Input distribution 100 Normalized emittance (mm mrad) 0 Slice number Current (A) 10 8 6 4 Tail of the bunch 2 0 -150 -125 -100 -75 -50 -25 0 25 50 4 x 2 1 0 -150 75 y 3 -125 -100 -75 s (m) -50 -25 0 25 50 75 s (m) 20.536 <x> <y> 20.534 Large betatron oscillation 1.5 20.532 Energy (GeV) 150 2.0 100 50 0 20.530 1.0 20.528 20.526 0.5 20.524 20.522 -50 0.0 20.520 -100 -150 -125 -100 -75 -50 -25 0 25 50 75 -150 -125 -100 -50 -25 0 25 50 75 s (m) s (m) B. Faatz -75 S2E workshop, August 18-22, 2003 6 Energy spread (MeV) Beam centroid position (m) 200 Free-Electron Laser at the TESLA Test Facility Post-processing •Xgenesis (IDL) •Interactive (GUI) •Gen2Spread: Separate Genesis output file •In slices along undulator •At different undulator position temporal profile B. Faatz S2E workshop, August 18-22, 2003 7 Free-Electron Laser at the TESLA Test Facility Steady state results: no wakefields Unmatched angle/offset Matched angle/offset 20 0.020 10 18 1 0.1 16 0.015 0.01 1E-3 14 1E-4 Power (GW) Power (GW) 1E-5 0.010 0.005 12 0 20 40 60 80 100 10 8 6 4 2 0 10 20 30 40 50 60 70 80 90 0 100 110 10 20 30 40 50 60 70 80 90 100 110 slice number slice number 2 10 0.30 1 10 0.25 0 Bunching Power (GW) 10 -1 10 -2 10 0.20 0.15 -3 10 0.10 -4 10 0.05 -5 10 0 50 100 150 200 0.00 0 z (m) B. Faatz 50 100 150 200 z (m) S2E workshop, August 18-22, 2003 8 Free-Electron Laser at the TESLA Test Facility Energy loss due to the wakefield* 12 0.1 0.0 8 6 -0.1 4 2 wake (MV/m) Current (A) 10 -0.2 0 -150 -125 -100 -75 -50 -25 0 25 50 75 s (m) assumed an inner radius of 4 mm copper coated stainless steel *resistive wall wake only B. Faatz S2E workshop, August 18-22, 2003 9 Free-Electron Laser at the TESLA Test Facility Steady state results: including wakefields (matched) Including taper Without taper 100 1.4 2 10 0 10 1 10 0 10 -1 10 1.2 -1 10 80 -2 10 -2 10 -3 10 -3 10 -4 1.0 10 -4 10 -5 10 -5 0 20 40 60 80 Power (GW) Power (GW) 10 100 0.8 0.6 0.4 -6 10 60 0 20 40 60 80 100 40 20 0.2 0.0 0 0 20 40 60 80 100 0 20 40 60 80 100 slice number slice number 2 10 0.35 1 10 0 0.30 -1 0.25 10 Bunching Power (GW) 10 -2 10 -3 10 -4 10 0.20 0.15 -5 0.10 -6 0.05 10 10 -7 10 0 50 100 150 200 0.00 0 z (m) B. Faatz 50 100 150 200 z (m) S2E workshop, August 18-22, 2003 10 Free-Electron Laser at the TESLA Test Facility Time dependent simulations: no wakefields 12 NSLICE Current (A) 10 8 6 4 NTAIL 2 0 -150 -125 -100 -75 -50 -25 0 25 50 75 s (m) Part of the bunch selected for time dependent simulations Simulate 20000 photon slices to assure overlap, 8000 particles each B. Faatz S2E workshop, August 18-22, 2003 11 Free-Electron Laser at the TESLA Test Facility 70 GW power, 3m FWHM pulse (10 fs) 280 100 10 240 1 0.1 Power (GW) 200 0.01 0 10 20 30 40 50 160 120 80 40 0 0 10 20 30 40 50 s (m) B. Faatz S2E workshop, August 18-22, 2003 12 Free-Electron Laser at the TESLA Test Facility Frequency spectrum ? B. Faatz S2E workshop, August 18-22, 2003 13 Free-Electron Laser at the TESLA Test Facility 17000 Beam centroid position (m) 12 10 Current (A) 40 8 6 4 2 0 -150 -125 -100 -75 -50 -25 0 25 50 32 <x> <y> 24 16 8 0 -8 -16 -24 -32 -40 75 0 s (m) 50 150 50 80 40 Beam size (m) 100 60 40 30 20 xrms yrms 20 10 0 0 50 100 z (m) 200 z (m) 120 Power (GW) 100 150 200 0 0 50 100 150 200 z (m) B. Faatz S2E workshop, August 18-22, 2003 14 Free-Electron Laser at the TESLA Test Facility 17500 Beam centroid position (m) 12 10 Current (A) 8 6 4 2 0 -150 -125 -100 -75 -50 -25 0 25 50 75 4 <x> <y> 2 0 -2 -4 s (m) 0 50 100 150 200 z (m) 120 50 80 Beam size (m) Power (GW) 100 60 40 20 0 40 30 20 xrms yrms 10 0 50 100 z (m) B. Faatz 150 200 0 0 50 100 150 200 z (m) S2E workshop, August 18-22, 2003 15 Free-Electron Laser at the TESLA Test Facility 18000 12 Beam centroid position (m) Current (A) 10 8 6 4 2 0 -150 -125 -100 -75 -50 -25 0 25 50 75 s (m) 50 100 150 200 z (m) 100 50 80 Beam size (m) Power (GW) <x> <y> 0 120 60 40 20 0 28 24 20 16 12 8 4 0 -4 -8 -12 -16 -20 -24 -28 40 30 20 xrms yrms 10 0 50 100 150 200 0 0 z (m) B. Faatz 50 100 150 200 z (m) S2E workshop, August 18-22, 2003 16 Free-Electron Laser at the TESLA Test Facility Conclusion Much more work needs to be done Extend time window Get frequency information Include all wakes, quantum fluctuations, … B. 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