Wakefield Accelera,on: from Laboratory to Cosmos
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1 Wakefield Accelera,on: from Laboratory to Cosmos Toshiki Tajima* UC Irvine * 1973 JSPS fellow JSPS: 6 th Mul<disciplinary Science Forum (MSF- 6) UC Davis Sacramento, CA Nov. 6, 2015 Special thanks to JSPS for my fellowship in 1973 (the first year JSPS established it aser the Fulbright Fellowship was discon<nued for Japan) Collabora<on: G. Mourou, K. Nakajima, S. Bulanov, T. Esirkepov, J. Koga, M. Kando, A. Suzuki, M. Nozaki, T. Saeki, T. Ebisuzaki, A. Mizuta, X. Yan, M. Zhou, A. Chao, K. Abazajian, N. Canac, X. M. Zhang, D. Farinella, P. Taborek, F. Dollar, P. Grabowski, M. Spiro, R. Heuer, A. Caldwell, B. Holzer, F. Albert, L.M. Chen, P.S. Chen, N. Zamfir, C. Barty, M. Downer, J. Wheeler, Y.M. Shin, N. 70th Birthday Naumova
2 - Introduc<on: a disrup<ve idea - Ascent toward 100GeV and collider - Single- cycled laser and TeV on a chip - Nature s favorite accelera<on: cosmic wakefield 70th Birthday
3 Fermi PeV Accelerator Petawag Par<cle Accelerators
4 Plasma collec,ve accelerator vs conven,onal linear accelerator Collec<ve force ~N 2 ( ç linear force ~N) Coherent and smooth structure Plasma accelerator driven by laser compac<fica<on by ( even by 10 6 ) over conven<onal accelerators enabled by laser technology (intense ultrafast laser compression)
5 Accelera,on by plasma wake waves: History Collective acceleration suggested: Veksler (1956, CERN) Driven by electron beam (ion energy)~ (M/m)(electron energy) V. Veksler Many experimental attempts of plasma acceleration (~60 s - 70s, Rostoker s lab UCI included) led to no such amplification (ion energy)~ (2α+1)x(electron) N. Rostoker J. Dawson Tajima-Dawson (1979, UCLA) wakefield #2 electron acceleration possible with trapping (with the Tajima- Dawson field) with laser, more tolerant for sudden process
6 Laser Wakefield (LWFA): Wake phase velocity >> water movement speed Tsunami phase velocity becomes ~0, maintains coherent and smooth structure causes wavebreak and turbulence vs Strong beam (of laser / par<cles) drives plasma waves to satura<on amplitude: E = mωv ph /e No wave breaks and wake peaks at v c Wave breaks at v<c relativity regularizes (relativistic coherence) Relativistic coherence enhances beyond the Tajima-Dawson field E = mω p c /e (~ GeV/cm)
7 The late Prof. Abdus Salam At ICTP Summer School (1981), Prof. Salam summoned me and discussed about laser wakefield accelera<on. Salam: Scientists like me began feeling that we had less means to test our theory. However, with your laser acceleration, I am encouraged. (1981) He organized the Oxford Workshop on laser wakefield accelerator in Effort: many scien<sts over many years to realize his vision / dream High field science: spawned
8 Ascent toward 100GeV and collier 70th Birthday
9 Demonstra,on, realiza,on, and applica,ons of laser wakefield accelerators Laser compression method (CPA) invented in 1985 (Michigan) 4 GeV laser accelerator LBL ç 3GeV Synchrotron SOLEIL
10 Electron energy (MeV) 2 # ΔE 2m 0 c 2 a 2 0 γ 2 ph = 2m 0 c 2 2 n a cr 0 % $ n, 2 cr d = λpa0 π ne dephasing length L Theory of wakefield toward extreme energy TeV 1 GeV Plasma density (cm -3 ) theore<cal L p experimental 1 n cr = λpa0 3π ne pump deple<on length n e, & ( ', (when 1D theory applies) In order to avoid wavebreak, a 0 < γ 1/2 ph, where γ ph = (n cr / n e ) 1/2 n cr =10 21 (1eV photon) (10keV photon) n e = (gas) (solid)
11 100 GeV UV LWFA experiment at Livermore LWFA e- beam by courtesy of C.P.J. Barty
12 Laser driven collider concept a TeV collider Leemans and Esarey (Phys. Today, 09) ICFA-ICUIL Joint Task Force on Laser Acceleration(Darmstadt,10)
13 Density scalings of LWFA for collider (Nakajima, PR STAB, 2011) /cc (conven<onal) /cc 13
14 CAN Laser: Need to Phase 32 J/1mJ/fiber~ 3x10 4 Phased Fibers! Electron/positron beam Transport fibers G. Mourou: patent (2005) Mourou et al. patent (2012) ~70cm Length of a fiber ~2m Total fiber length~ km
15 Single- cycled laser and TeV on a chip 70th Birthday
16 Thin film compression and single- cycle op,cal and X- ray lasers G. Mourou et al. (2014)
17 X- ray LWFA in crystal suggested X- ray Laser Wakefield Accelerator in crystal: LWFA pump- deple<on length: L acc ~ a X (c/ω p ) (ω X /ω p ) 2, (a X = ee X /mcω X ) LWFA energy gain ε X = 2a X2 mc 2 (n cr /n e ), Here, n cr = 10 29, n e = 10 23, a X ~ 30 (pancake laser pulse with the Schwinger intensity, with focal radius assumed the same as op<cal laser radius. Could be greater if we further focus by op<cs, or nonlinearity, or if we not limit the intensity at Schwinger. see below) The vacuum self- focus power threshold P cr = (45/14) c E S 2 λ 2 α - 1, (E S : Schwinger field) Schwinger fiber accelera,on in vacuum: (no surface, no breakdown) Vacuum photon dispersion rela<on with focus ω =c (k z 2 + < k perp2 >), The vacuum dispersion rela<on with fiber self- modula<on ω / ( k z + k s ) = c, (k s = 2π / s) (Tajima and Cavenago, PRL, 1987)
18 Wakefield accelera,on in porous nanomaterials Carbon nanotube with Par<cle beam / X- ray pulse Porous nanomaterial Collabora<on (2015) with Fermilab / NIU Y. Shin et al.
19 Porous Nanomaterial Porous alimina on Si substrate Nanotech. 15, 833 (2004)
20 X- ray LWFA in a tube vs. uniform solid in nanotube in uniform solid A few- cycled 1keV X- ray pulse (a 0 ~ O(1)), causing 10TeV/m wakefield in the tube more strongly confined in the tube cf: uniform solid X. Zhang
21 Nature s wakefield accelerator in cosmos 70th Birthday
22 Ultrahigh Energy Cosmic Rays (UHECR) Fermi mechanism runs out of steam beyond ev due to synchrotron radia,on Wakefield accelera,on comes in rescue prompt, intense, linear accelera,on small synchrotron radia,on radia,on damping effects?
23 Cen A Op,cal Distance:3.4Mpc Radio Galaxy Nearest Brightest radio source Ellip<cal Galaxy Black hole at the center w/ rela<vis<c jets
24 Fermi s Stochas,c Accelera,on (large synchrotron radia<on loss) ê Coherent wakefield accelera,on (no limita<on of the energy) Nature s LWFA : Blazar jets extreme high energy cosmic rays (~10 21 ev) episodic γ-ray bursts observed consistent with LWFA theory Ebisuzaki- Tajima (2014); Canac, Abazajian, Tajima(2015)
25 Astrophysical wakefield accelera,on: Superintense Alfven Shock in the Blackhole Accre,on Disk toward ZeV Cosmic Rays ( a 0 ~ , large spa,al scale) a 0 = ee 0 / mcω 0 >> 1 E 0: : modest ω 0 : extremely small Ebisuzaki and Tajima, Astropart. Phys.(2014)
26 Comic ray accelera,on and γ- ray emission: Summary Ebisuzaki, Tajima EPJ 223, 1113(2014)
27 General Rela,vis,c MHD simula,on of accre,on disk + jets A. Mizuta, T. Ebisuzaki
28 General Rela,vis,c MHD simula,on of accre,on disk + jets t var ~ M A. Mizuta, T. Ebisuzaki
29 Blazar shows an,- correla,on between γ burst flux and spectral index Blazar: AO M ~ 10 8 M Sun index flux Rise <me < week (less than a unit), Period between bursts ~> 10 weeks Spectral index => 2 (~ Ebisuzaki/Tajima theory) à all quan<ta<vely consistent with Wakefield theory <me N. Canac, K. Abazajian
30 Conclusions Demonstrated: Using ultrafast pulses (of laser or par<cle beams), coherent collec<ve (robust) (broader sense of) wakefield (GeV/ cm) excitable, which includes both wakefield and ponderomo<ve accelera<ons With the emerging single- cycle compression technique and its X- ray laser pulse conversion, wakefield in nanostructure (TeV/m) may be accessible Ion ponderomo<ve accelera<on also possible in a certain regime of laser (par<cularly in single- cycle regime) Applica<ons: ultrafast radiolysis, intraopera<ve electron therapy, compact X- ray sources/xfel, compact proton therapy, radioisotope genera<on, ADS,. (broader sense of) Wakefield accelera<on: Nature s accelerators favored for extreme high energy comic rays, gamma ray bursts
31 Thank you! 有難うございました Y.Shin
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