Attosecond Diagnostics of Muti GeV Electron Beams Using W Band Deflectors

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Attosecond Diagnostics of Muti GeV Electron Beams Using W Band Deflectors V.A. Dolgashev, P. Emma, M. Dal Forno, A. Novokhatski, S. Weathersby SLAC National Accelerator Laboratory FEIS 2: Femtosecond Electron Imaging and Spectroscopy Michigan State University, Lansing/East Lansing, Michigan, May 6 9th, 2015

Measurement of 4 14 GeV LCLS bunch 1 km linac, 4 14 GeV Schematic layout of LCLS X band deflector rf system Deflector off Deflector on Beam profile with absolute units after applying the measured calibration factor. V.A. Dolgashev et al.,phys. Rev. ST Accel. Beams 17, 102801,2014 C.Behrens, et al., Nat. Commun. 5, 3762 (2014).

Outline MeV scale X band deflectors at SLAC 100 GHz Accelerating structures W band deflectors Kick with external rf source Kick with bunch short range wake field

Motivation Performance of the LCLS and LCLS II is determined by the properties of the extremely short electron bunch. Multi GeV electron bunches in LCLS are less than 100 fs long. Optimization of beam properties and understanding of freeelectron laser operation requires electron beam diagnostics with time resolution of less than 10 fs. These were achieved with the X band RF deflector. We propose the next generation of this time resolved beam diagnostic with improvements in resolution by an order of magnitude, possibly resolving to a few hundred attoseconds at 15 GeV. We expect that, as with the current X band deflector, it will allow smooth commissioning, operation and further improvement of LCLS II performance. This 8 fold increase of the timing resolution could, in principal, be achieved by scaling the existing X band system, which would be ~16 meter long and powered by 8 SLAC 50 MW XL 4 X band klystrons. We see this as an impractical solution and instead propose to increase the operating frequency of the deflector from 11 GHz to 90 GHz. Two 1 meter long deflectors might be located about 10 meters after the FEL undulator for diagnostics for the electron bunch and the FEL x ray pulse, but providing 8 times better temporal resolution down to about 0.5 fs, and less.

RF deflector resolution the higher frequency the better rf wavelength peak deflecting voltage a crest phase normalized emittance of the beam beta function at the deflector betatron phase advance from deflector to screen relativistic factor of the beam

SLAC X band deflectors LCLS Linac Coherent Light Source X ray Free Electron Laser, uses 14 GeV SLAC Linac FACET Facility for Advanced Accelerator Experimental Tests, use 20 GeV SLAC Linac NLCTA Next Linear Collider Test Accelerator X band linac with S band photo gun, 120 MeV XTA X Band Test Area, compact X band linac with X band photo gun, 75 MeV Parameter LCLS FACET NLCTA XTA Unit Beam Energy 4,000 14,000 20,000 120 75 MeV Beam emittance 0.5 40 2 0.55 um Structure length (with beam pipes) 2*1.185 1.185 0.432 0.293 m Number of regular cells (including 2*113 113 27 11 joining ring) Input power 17.5+17.5 35 20 2 MW On crest deflecting voltage 45 30 6 0.9 MeV Resolution achieved 1 4 70 30 30 rmsfs Distance deflector screen 32 14.75 3 2.5 m Beta functions at RF deflector 120@14 GeV 150 5 11 m Beta functions at the screen 22@14 GeV 0.41 8 2 m Quadrupole focusing after deflectors Yes Yes Yes Yes Dipoles after deflectors Yes Yes No No

X band RF deflector system installed at the LCLS undulator beamline directional couplers 2nd deflector output waveguide input waveguide 1st deflector P. Krejcik et al., SLAC

XTCAV: x ray beams temporal diagnostics e 2 1 m V(t) RF streak Dipole z XTCAV streaks horizontally; Dipole bends vertically. X band TCAV d 90 Dy s energy XTCAV for x ray temporal diagnostics: High resolution, ~ few fs; Applicable in all FEL wavelength; Wide range, ~ 1 fs to ~100s fs; Beam profiles, single shot; No interruption with operation; Both e beam and x ray profiles. Project started in 2011, and took about two years to complete, total cost ~$5M, and now routine diagnostics Screen, FEL OFF Reconstruction e beam profile Screen, FEL ON Reconstruction x ray profile Y. Ding et al., Phys. Rev. STAB.14.120701 (2011) P. Krejcik et al., in Proceedings of IBIC2013 (Oxford, UK) 8

SLAC X band deflectors As for now, LCLS 2 m X band deflector has unprecedented performance. Planned upgrade with rf pulse compressor will improve the resolution more. It is instrumental in advancing physics of FELS, see for example: D. Ratner et al., Time resolved imaging of the microbunching instability and energy spread at the Linac Coherent Light Source, Phys. Rev. ST Accel. Beams 18, 2015 A. Marinelli et al., High intensity double pulse X ray free electron laser, Nature Communications 6, 6369, March 2015

Toward W band deflectors: 100 GHz traveling wave accelerating structures Questions: Can we build practical ~100 MV/m W band structures? At what field gradients and pulse length W band structures could operate without faults?

Goals of the E204 experiment Determine statistical properties of rf breakdown in metal structures vs. structure geometry, accelerating gradient and pulse length at 100 GHz frequencies Material test: find difference of performance between copper and stainless steel. Method: We use open traveling wave structures excited by the few nc 20 GeV FACET beam.

100 GHz copper and stainless steel traveling wave accelerating structures, as received from vendor Manufacturing: EDM Department Inc.

Geometry of one quarter of one period of metallic THz structure for FACET experiment, rounded geometry version 6February 2013 R0.1 mm R0.1 mm 0.85 mm R0.3 mm 0.1 mm 0.6 mm R0.3 mm 0.8 mm 0.7 mm 0...1 mm > 3 mm V.A. Dolgashev, 13 March 2012

First experiment: alignment camera view 0.3 0.9 mm right forward rf horn ~30 mm rf out mark for structure axis alignment phosphor screen for beam alignment

FACET experiment with copper structure in vacuum chamber vertical moving stage right forward rf horn upper half of accelerating structure, transparent for RF vacuum window 30 32.5 mm phosphor screen for beam alignment

100 GHz Traveling Wave Accelerating Structure RF output coupler matched at gap=0.3 mm and with more than 80% power transmission at other apertures

Matched coupler 0...1 mm 0.55 mm 0.726 mm R0.1 mm R0.1 mm R0.1 mm D0.6 mm 0.6 mm 0.2 mm regular cell A 2xR0.2 mm R0.3 mm V.A. Dolgashev, 6 February 2013

Output coupler of traveling wave accelerating structure, aperture 2a = 0.3 mm, synchronous frequency 136 GHz, fields normalized to 10 MW of input power, coupler reflection R=0.09 V.A. Dolgashev, SLAC, 7 January 2013

Power coupler of the 100 GHz structure rf out rf out output waveguide coupler cell first regular cell electron beam 1.7 mm coupler iris

Electron beam Schematic layout of 100 GHz TW structure test signal to scope remotely controlled rf beam shutter vacuum chamber laser alignment mirror 10 cm left forward rf horn phosphor crystal detector List of remote controls and diagnostics: 1. Video camera 2. RF beam shutter 3. X Y stage motor 4. Structure beam gap motor 5. Scope signals: crystal and pyro detector right reflected rf horn signal to scope rf window output rf beam pyro detector video camera for electron beam structure alignment and rf breakdown diagnostics V.A. Dolgashev, SLAC, 31 March 2014

100 GHz signals Pyro [V] 1 0.9 0.8 0.7 0.6 0.5 0.4 0.3 0.2 0.1 0.6 mm 1st 0.5 mm 0.4 mm 0.3 mm 0.2 mm 0.6 mm 2nd 0 1.5 2 2.5 3 3.5 4 4.5 5 5.5 Horizontal [mm] Pyro signal vs. horizontal structure position for different gaps Peak pyro signal [V] 0.8 0.6 0.4 0.2 0 30.8 31 31.2 31.4 31.6 Vertical position [mm] Peak pyro signal (@3.2mm horizontal position) vs. Vertical structure position

Fields in copper traveling wave structure at 140 GHz, excited by 3.2 nc bunch E [GV/m] 0.64 0.42 0.21 0 H [MV/m] 1.3 0.86 0.43 0 Surface electric fields with E max = 0.64 GV/m Surface magnetic fields with H max = 1.3 MA/m Parameter Value Gap (2a) 0.2 mm Synchronous frequency 140.29 GHz Phase per cell 133.46 deg RF Power @ 3.2 nc 0.3 MW Acc. Gradient @ 3.2 nc 0.3 GV/m E max @ 3.2 nc 0.64 GV/m H max @ 3.2 nc 1.3 MA/m v g /c 0.22% Att. Length 1.56 mm Att. Length/v g 2.3 ns L/v g (20 cells) 24 ns

Current status At FACET, we have tested tree 100 GHz traveling wave metal accelerating structures: two copper and one stainless steel. From SEM inspection, we estimate following no damage pulse parameters Parameter Acc. Gradient E max Pulse length Traveling Wave, Copper 0.3 GV/m 0.64 GV/m ~2.3 ns With these experiments we are developing understanding, tools, techniques, diagnostics, etc. which we can use for W band deflector

W band deflectors powered by rf source http://www.calcreek.com/hardware.html: Calabazas Creek Research, Inc., in association with the University of Maryland, developed a 10 MW gyroklystron at 91.392 GHz for W Band accelerator research. The device is designed to produce 1 microsecond pulses at 120 Hz with an efficiency of approximately 40% and a gain of 55 db. A magnetron injection gun produces a high quality, 55 A beam at 500 kv that interacts with a six cavity, frequency doubling microwave circuit. A super conducting magnet produces a 28 kg magnetic field in the gun region with a separate coil for controlling the field in the gun region.

Scaling of X band deflector to W band 11.424 GHz 91.329 GHz X band W band aperture 10 mm 1.25 mm diameter Kick@1MW 7.07 MV/m 56.5 MV/m Hpeak: 76 ka/m Q0 6296 2226 Epeak @1MW 21.7 MV/m 172 MV/m Hpeak: 610 ka/m Hpeak@1MW 76 ka/m 610 ka/m Att. Length 84 cm 3.7cm Epeak: 21.7 MV/m Cell of X band deflector, fields normalized to 1 MW of transmitted power Group velocity/c 3.2% 3.2% Epeak: 172 MV/m Cell of W band deflector, fields normalized to 1 MW of transmitted power

Open W band accelerator as deflector Hpeak: 163 ka/m Nominal aperture Reduced aperture aperture 1.5 mm 1.3 mm diameter Kick@1MW 7.8 MV/m 11.1 MV/m Q0 2480 2285 Hpeak: 200 ka/m Epeak @1MW 91 MV/m 99 MV/m Hpeak@1MW 163 ka/m 200 ka/m Att. Length 25 cm 16 cm Epeak: 91 MV/m Group velocity/c W band acclerator, aperture 1.5mm, fields normalized to 1 MW of transmitted power 19.4% 13.4% Epeak: 99 MV/m W band acclerator, aperture 1.3 mm, fields normalized to 1 MW of transmitted power

2100 020 12Deflection in open accelerating structure: moving beam off axis2 1 00off-axis [mm] acceleration E [MV/m] deflection 1

Open W band deflectors Nominal aperture Reduced aperture aperture diameter 1.5 mm 1.84 mm Hpeak: 250 ka/m Kick@1MW 10.83 MV/m 31 MV/m Q0 2520 2230 Hpeak: 400 ka/m Epeak @1MW 97 MV/m 180 MV/m Hpeak@1MW 250 ka/m 400 ka/m Att. Length 10 cm 5 cm Epeak: 97 MV/m Group velocity/c W band deflector, aperture 1.5mm, fields normalized to 1 MW of transmitted power 7.7 % 4.6% Epeak: 180 MV/m W band deflector, aperture 1.84 mm, fields normalized to 1 MW of transmitted power

Example of open 12 GHz traveling wave accelerating structure, CLIC G OPEN Half Structure

Example of open traveling wave 12 GHz accelerating structure, CLIC G OPEN Half structure and full structure assembly

Example of open traveling wave 12 GHz accelerating structure, CLIC G OPEN View from beam pipe 1 mm gap

Now compare scaled X band deflector and open W band deflectors, field normalized to 1 MW of power flow050100150020406080frequency [GHz] Kick [MV/m]05010015002103 4103 6103 Frequency [GHz] Qo fw 050100150050100150200250Frequency [GHz] Epeak[MV/m]0501001500200400600800Frequency [GHz] Hpeak[kA/m]050100150101001103 Frequency [GHz] Att. length [mm] scaled X band accelerator, aperture 1.5mm accelerator, aperture 1.3mm deflector, aperture 1.5mm deflector, aperture 1.84 mm

Summary for rf source powered deflector One module, or 1 m long deflector powered by 10 MW will produce total kick of about 23 MV (for deflector with 1.84 mm aperture), other structures have total kick between 11 and 14 MV/m. We will need two modules to get 46 MV deflection for ~500 attosecond resolution at 14 GeV and ~120 attosecond at 4 GeV.

Wakefield powered deflector Electron beam shifted off axis 0.85 mm 100 GHz traveling wave accelerating structure

Wl MV nc m 150 100 50 0-50 -100 bunch Short range wakefields in 100 GHz accelerating structure, gap 0.3 mm, bunch length 50 µm -150 0.0 0.5 1.0 1.5 2.0 2.5 3.0 z mm Longitudinal wake, offset 0 mm Vz MV 30 20 10 0-10 -20-30 -1.0-0.5 0.0 0.5 1.0 Beam offset mm Loss factor Wl MV nc m 150 100 50 0-50 -100-150 0.0 0.5 1.0 1.5 2.0 2.5 3.0 z mm Longitudinal wake, offset 0.75 mm wt MV nc m 40 20 0-20 -40 0.0 0.5 1.0 1.5 2.0 2.5 3.0 z mm Transverse wake, offset 0 mm Vt MV 3 2 1 0-1 -2-3 -1.0-0.5 0.0 0.5 1.0 Beam offset mm Kick factor wt MV nc m 40 20 0-20 -40 0.0 0.5 1.0 1.5 2.0 2.5 3.0 z mm Transverse wake, offset 0.75 mm

wt MV nc m 60 40 20 0-20 -40 Short range transverse wakefield, 100 GHz accelerating structure, gap 0.3 mm 110 MV/nC/m@91GHz -60-0.2 0.0 0.2 0.4 0.6 0.8 1.0 z mm wt MV nc m 60 40 20 0-20 -40 160 MV/nC/m@91GHz -60-0.2 0.0 0.2 0.4 0.6 0.8 1.0 z mm Offset 0.8 mm, bunch length 50 µm Offset 0.76 mm, bunch length 25 µm

100 GHz accelerating structure, gap 0.9 mm, FACET shift 4 April 2015 Vt MV 3 2 1 0-1 -2-3 -1.0-0.5 0.0 0.5 1.0 Beam offset mm Energy Left edge Max. kick left Max. deceleration Max. kick right No kick, bunch head? ±0.75 mm shift = ~1 MeV kick of 20 GeV beam Beam Dump Screen x [mm] Projection at 97 th pixel row

Asymmetric geometry, gap 0.3 mm 155 MV/nC/m@91GHz Half geometry, no cavities on bottom On axis bunch, bunch length 50 µm

Summary for wakefield driven deflector With practical structures we should be able to produce chirp of transvers kick needed for few hundred attosecond timing resolution of ~200 pc bunch. We can clearly see the kick on 20 GeV FACET beam. Absolute calibration would be difficult. Head of the bunch is not kicked, so we need to understand how useful the diagnostics with this limitation.