Dielectric Based Accelerator: Subpicosecond Bunch Train Production and Tunable Energy Chirp Correction
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1 Presentation at EAAC, Elba, Italy June Dielectric Based Accelerator: Subpicosecond Bunch Train Production and Tunable Energy Chirp Correction A.Kanareykin for Euclid TechLabs LLC, Gaithersburg MD USA in collaboration with ANL/AWA, BNL/ATF, UCLA and Eltech Universtity LETI, St.Petersburg, Russia
2 Outline - Dielectric accelerator: brief history - Software development for the DLA - Materials available for the DLA - Key high gradient experiments - Energy chirp compensation - Subpicosecond bunch train production - Beam based undulator - Summary
3 History, 1947 first DLA linac paper Frankel S. TM1 Mode in Cylindrical Waveguide with Two Dielectrics // J. App. Phys V.18. P. 65. First electron linac at Stanford (1947)
4 Mind the gaps, mind the steps! Papers on Dielectric Accelerator published before 196 Frankel S. TM1 Mode in Cylindrical Waveguide with Two Dielectrics // J. App. Phys V.18. P Bruck G.C., E.R.Wicher Slow Transverse Magnetic Modes in Cylindrical Waveguides // J. App. Phys V. 18. P Shersby-Harvie R. B. R. A Proposed New Form of Dielectric-loaded Wave-Guide for Linear Electron Accelerators // Nature V P Oliner A.A., Remarks of Slow Wave Cylindrical Waveguides // J. App. Phys V. 19. P Flesher G., Cohn G. Dielectric Loading for Waveguide Linear Accelerator // AIEE Transactions V.7. P Shersby-Harvie R. B. R. et al. Theoretical and Experimental Investigation of Anisotropic Dielectric Loaded Linear Electron Accelerator // Proceedings of the IEE - Part B: Radio and Electronic Engineering V. 14. P Walker G. B. and West N.D. Mode Separation at the π-mode in a Dielectric Waveguide Cavity // Proceedings of the IEE - Part C: Monographs V. 14. P Walker G. B., Lewis E. L. Vacuum Breakdown in Dielectric-loaded Wave-guides // Nature V P
5 Again some history: now 1988 But before in Russia: theory of Cherenkov radiation in waveguide: B. M. Bolotvskii, Usp. Fiz. Nauk., 75, 295 (1961) [Sov. Phys. Usp. 4, 781 (1962)] Finally Wakefields!
6 Finally it s today Cherenkov Wakefields in Dielectric Structures 2b 2a Q e W ( z) Direct Wakefield Acceleration: Z 2 Q z exp 2 cos( kz) 2 a n Cu 1 2 e N r Dielectrics: e = 4.4 (cordierite-1 (alumina) low-loss ceramic, e = 5.7 diamond, e = quartz Electron beam for GHz (AWA): z = 1-2 mm, Q = 1-1 nc, yielding ~ 2-3 MV/m at 2-3 GHz Electron beam for THz (FACET): z = 2-3 um, Q = 1-3 nc,,5-1, THz frequency, 1-1 GV/m gradient
7 Ez, Er, В/м Why Dielectric Based Accelerator? Dielectric based accelerator advantages: design simplicity: no tight tolerances; maximal field magnitude at the structure center; GHz,THz structures at ~.5-1. GV/m gradient enables tuning; reduced sensitivity to the beam break-up (BBU) instability; thermal conductivity better than metal (if diamond) E z R c R w E r r, cm
8 Wakefield, MV/m Amplitude, MV/m Spectra and Accelerating Fields, e=16. ТМ 1 f= 13.6 GHz frequency, GHz МВ/м frequency, GHz 4 5 Частота, ГГц Distance behind the bunch, cm Distance behind the bunch, cm 25 5 nc, z =.1cm 5 nc z=.1 cm
9 Ez, Er, В/м H, A/м The longitudinal (accelerating) fields for the three positions of the driver and witness beams simulated with the ARRAKIS code (P.Schoessow). Driver Dielectric Witness Longitudinal and radial components of electric and magnetic fields in the cross-section Deceleration Acceleration E z R c R w R c R w E r H r, cm r, см f, vg c Pm Q w r s, rs Q w, Мода ГГц P d 1 м MОм м Ом м TM TM TM Accelerating structure parameters
10 spectrum Amplitude, MV/m Amplitude, V/m Amplitude, MV/m wake Wakefield, V/m Wakefield, V/m Wakefield, V/m FACET structures ID=8 μm (a=4 μm ) OD= 152 μm (b=76 μm) b - a= 3 μm (diamond thickness) 2a=8 μm, a= 4 μm, b= 7 μm; w= 3 μm b - a= 3 μm (diamond thickness) ID=8 μm (a=4 μm ) diamond thcknss= 3 μm alumina thcknss= 446 μm 2 GV/m/nC 2 GV/m/nC 2 GV/m/nC 1,,, 8,,, 6,,, 4,,, 2,,, -2,,, -4,,, 6,,, 4,,, 2,,, -2,,, Bunch Ez Ey Ex Fy Fx 1,,, 8,,, 6,,, 4,,, 2,,, -2,,, -6,,, -8,,, -1,,, -4,,, -6,,, -4,,, -6,,, -8,,, Distance behind the bunch, cm Distance behind the bunch, cm.4.5 Distance behind the bunch, cm 8, 7, 6, 5, 4, 3, 1THz 5,,, 4,5,, 4,,, 3,5,, 3,,, 2,5,, 2,,, 1THz THz 2, 1, 1, 2, 3, 4, frequency, GHz 5, 6, 1,5,, 1,,, 5,, 1, 1,2 1,4 frequency, GHz 1, , 2, 3, frequency, GHz 4, 5, double-layer / thick layer
11 Waveguide Rectangular Multibunch CST vs. Waveguide Annular Multizone. Beam Breakup (BBU) 11
12 Beam Breakup in the Planar and Cylindrical DLA 2b Q e 2a w
13 4,, 3,, 2,, 1,, -1,, -2,, -3,, -4,, -5,, -,1,1,2,3,4,5,6 Distance behind the bunch, cm,7,8 Euclid has developed in-house software for dielectric wakefield simulations - analytical/fast - accelerating and dipole modes - losses - BBU
14 BBU Simulation Beam: 23 GeV energy; 92 MeV spread 3 nc; σ r = 5 μ; offset = 5 μ σ z = 3 μ; Structure: ir = 62.5 μ, ID=125 μ, f = 1 THz or = 92.5 μ, ID=185 μ ε = 5.7 (diamond)
15 DLA Based Collider Concept AWA/Euclid proposed a 26GHz short pulse collider concept * - modular design with each module - 1 GeV GHz RF power extracted from the drive beam using a low impedance dielectric structure - the main linac based on high impedance high gradient DLA. - dielectric structures sustain high fields for short RF pulse 3ns T rf =28ns 3ns RF pulse structure fast rf rise time (<3ns) Broadband (>15MHz) less filling time Large (~1%c) Vg. brf 6.5A 267MV/m.3m I beam E P rf load L s T T 16ns beam rf 26% T f =9ns T beam =16ns 1.264GW 25ns * W. Gai, M. Conde, J.G.Power and C.Jing. 21, Proc.Int.Part. Accel.Conf. IPAC 1, Kyoto, p.3428.
16 DLA Based FEL * DLA is proposed to provide the electron beam to drive a CW x- ray FEL light source * - 1 MV/m loaded gradient, - 85 GHz dielectric DWA to generate the beam for the FEL - 1 parallel beams operating at 1 khz all driven by a single 1 khz beam. - A collinear DLA generates a beam of 8 GeV, 5 pc/bunch, ~1.2 ka of peak current, in less than 1 meters. * C. Jing, J. Power, and A. Zholents. ANL/APS LS-326, ** C.Jing, A. Kanareykin, J.G. Power, A. Zholents. Proceedings IPAC 11, 1485, (211).
17 MW/THz Materials for the Dielectric-Based Accelerator Materials e (f = 9,4 GHz) tan (f = 9.4 GHz) Cordierite Forsterite Alumina D D D D MCT % MCT % V % V % Diamond, ε~ 5.7, tanδ<1-4 Quartz, ε~ 3.75, tanδ~1-4 Linear MW/THz ceramic materials Nonlinear MW/THz ceramic materials BST+Mg based oxides, ε~ 5 1, tan<1 17-3
18 Dielectrics Tested as DWA Loading THz experiments at FFTB and ATF dielectric ε Tan δ (1 GHz) Frequency (GHz) Experiment, reference Quartz 3.8 < High Gradient Standing Wave Cordierite 4.7 < /3 7.8 GHz TBA Power Extractor High Gradient Standing Wave 21 GHz DL Power Extractor Two Channel High Transformer Ratio Diamond 5.7 < High Gradient Standing Wave Forsterite 6.3 < Traveling Wave DLA 26 GHz DL Power Extractor Alumina 9.8 < Dual Layer DLA (outer layer) MgTiO 3 - Mg 2 TiO 4 16 < Collinear High Transformer Ratio MCT (Mg,Ca)TiO 3 2 < Two Beam DLA Accelerator BaTi 4 O 9 37 < Dual Layer DLA (inner layer) CaTiO 3 -LaAlO < (multimode) Multimode DLA bunch train generation
19 The Facility will be up to 75 MeV the facility to 75 MeV Two additional Klystrons and associated RF components. 6 Additional Linac Tanks Reconfigured Tunnel and Beamlines The AWA Upgrade Plan 19
20 AWA Wakefield Measurements Goal: Direct test breakdown thresholds of dielectric structures under short RF pulses. E z > 1 MV/m!
21 THz DLA Structure FFTB/FACET Experiments UCLA Group High accelerating gradients: GV/m level Dielectric based, low loss, short pulse Higher gradient than optical? Different breakdown mechanism No charged particles in beam path 3-33 fs, 28 GV bunch; 1 um ID Si structure surface field of ~ 14 GV/m Determine field levels in experiment: breakdown Gives breakdown limit of > 5.5 GV/m deceleration field
22 FACET: Ultra-Short Intense Beams quartz, diamond z r energy charge 2 m < 1 m 25 GeV 3-5 nc - structure - breakdown study - observe acceleration - accelerated beam
23 Material Properties for DLA Quartz 1.3 W/(m K) charging? Cordierite 3 W/(m K) DC conductivity Alumina 18-3 W/(m K) DC conductivity Sapphire W/(m K) charging? Copper 41 W/(m K) metal Diamond 22 W/(m K). no charging * Monocrystalline synthetic diamond enriched in 12C isotope (99.9%) has the highest thermal conductivity of any known solid at room temperature: 33.2 W/(m K) CVD DIAMOND PROPERTIES: - DC BREAKDOWN THRESHOLD OF ~ 1 GV/m - LOSS FACTOR 5-9 x1-5 AT 3-14 GHz - HIGHEST THERMAL CONDUCTIVITY - MULTIPACTING CAN BE SUPPRESSED and CVD DEPOSITION NOW CAN BE USED TO FORM CYLINDRICAL WAVEGUIDES
24 Diamond Based Structures for DLA 35 GHz polycrystalline structures Diameter ~ 1 μm Diamond, single crystal, 427 μm ID, 755 μm, 3.99 mm; 24
25 High Gradient Breakdown Study of a Diamond Slab
26 Field Enhancement in the Scratch Diamonds (E6)...scratched 5nC 25 MV/m beam There will be a ~45% field enhancement in the scratch
27 field, V/m First Beam Test of the Diamond Accelerating Structure 6 cm 75 micron BNL/ATF & S.Antipov Copper 2 micron 1 mm Diamond (poly) Vacuum 1.5 x mm / 2pC z, cm Position of witness beam is adjusted to map wakefield
28 First Beam Test of the Diamond Accelerating Structure
29 Energy chirp correction example FACET beam From M. Hogan, J. England (SLAC) Passive device (beam selfaction) Can be tunable Ex. FACET 5% spread.75% using a 5cm device after 4.5 cm in silencer Initial energy spread
30 2mm Energy chirp correction demonstrated ATF measurement simulation.37%.12% Limited by spectrometer resolution Beam transmission SS housing tubes Quartz tubes (ε = 3.8) (Gold sputtered) Sizes (ID / OD): 1, 2 x 33 µ 1, 3 x 4 µ 2, 4 x 55 µ Linear chirp correction / energy 2um L modulation S. Antipov et al. Phys. Rev. Lett. 18, (212)
31 Self-wake energy modulation current profile normalized wake current profile normalized wake z,cm Chirp correction modulation z,cm Energy Antipov et al. Phys. Rev. Lett. (212)
32 Energy Modulation Experiment
33 High power beam-based THz source AWA (1nC / 6.3mm).5 GW peak,.3thz, 32ps pulse, Stage 1%BW, I 155mJ pulse Stage II Stage III S. Antipov, C. Jing et. al. Phys. Rev. Lett. 18, (212) Energy modulation via self-wakefield D. Xiang et. al. Phys. Rev. Lett. 18, 2482 (212) S. Antipov, et al. to be published Chicane energy modulation conversion to bunch train G. Andonian et. al. Appl. Phys. Lett. 98, 2291 (211) THz radiation wakefield structure THz Measured beam spectrum Energy chirped rectangular beam Measured beam spectrum Energy modulated rectangular beam Bunch train frequency content Tunable 1% source: Range: THz Pulse bandwidth: 1% Energy in pulse: ~ mj Flexible: each step has a tuning range S.Antipov et al. Phys. Rev. Lett.
34 Relative Amplitude A Beam Based Undulator - Undulator is based on an electron bunch train powering a microwave or mm-wave waveguide. - the drive bunch train propagates towards the undulating beam inside a dielectric loaded structure or corrugated waveguide generating high power RF. - The beam driven undulator provides strong phasing between the undulating beam and the RF wave Courtesy S.Tantawi Undulator Mechanical Structure Electric Field Distribution 1.2 Simulated Electric Field Simulated Magnetic Field c B Distance Along the Undulator Axes cm - The smart waveguide design and a proper bunch spacing of the drive beam train provide single mode generation. - for cylindrical and rectangular beam driven undulator waveguides, a parameter optimization in the range of K~1 for an undulator period of 2-4 mm
35 Undulator Parameters a train of 4 75 MeV bunches of 25 nc each. Structure parameters are: a=375 um, c= 2.1 mm, d=2.85 mm ; dielectric permittivity of the inner tube ε=35.7 and of the outer layer ε= 5.7. λ u =2.9 mm, B u =24kG K=1.1
36 SUMMARY We have studied various DLA structure configurations and tested the structures with the diamond, microwave ceramic and quartz loadings. Software have been developed for the comprehensive DLA analysis BBUs effects have been studied numerically and experimentally. Diamond structure is a promising solution because of the highest breakdown threshold and highest thermoconductivity. We have demonstrated energy chirp correction and subpicosecond bunch train production using dielectric based accelerator The dielectric beam based undulator has been proposed.
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