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Studying and Applying Channeling at Extremely High
Bunch Charges
Dick CarriganFermilab
International Workshop on Relativistic Channeling and Related
Coherent PhenomenaMarch 23, 2004, Frascati, Italy
Relativistic Channeling - Frascati March 23, 2004Fermilab channeling (Carrigan)
The dream of crystal channeling
(Aarhus)
Relativistic Channeling - Frascati March 23, 2004Fermilab channeling (Carrigan)
Bob Hofstadter "The Atomic Accelerator" HEPL 560 (1968)
"To anyone who has carried out experiments with a large modern accelerator there always comes a moment when he wishes that a powerful spatial compression of his equipment could take place. If only the very large and massive pieces could fit in a small room!”
Relativistic Channeling - Frascati March 23, 2004Fermilab channeling (Carrigan)
Hofstadter wanted a crystal accelerator!
A table top accelerator ("miniac") The first solid state accelerator use channeling for focus maybe an after-burner scheme excite atoms coherently with 1 keV-xray
Problem-transit time
Get out 1 keV/Å in 1 cm would get 100 GeV
Need an x-ray laser (1968)
Relativistic Channeling - Frascati March 23, 2004Fermilab channeling (Carrigan)
Visionary possibilities for acceleration
Lasers R. Palmer, Particle Accelerators V11, 81 (1980). Recent
progress Kimura et al. PRL 92, 054801 (2004). See also LEAP at Stanford (Colby)
Would like much higher accelerating gradients
Two thoughts:
Plasmas Tajima and Dawson PRL 43, 267 (1979) E. Esarey, et al., IEEE Trans. On Plasma Sci, 24, 252 (1996). J. Dawson, Scientific American March, 1989 (p. 54)
Relativistic Channeling - Frascati March 23, 2004Fermilab channeling (Carrigan)
At least four groups see high energy ions, electrons from intense lasers hitting foils Livermore PRL 85, 2945 (2000) Michigan APL 78, 595 (2001) Rutherford PRL 90, 064801 (2003) – discussion of
mechanisms, target evolution LULI PRL 85 1654 (2002)
Pseudo solid state accelerators
3*1020 W/cm2, 1000 TW, 1013 proton beams with E to 58 MeV, electrons protons can be focused by curving targetprocess: electrostatic fields produced by ponderomotively accelerated hot electrons act on protons from absorbed hydrocarbons rear side (downstream)
+ -
+ -
+ -
Laser Debye Protons sheath
wedge
Livermore
Relativistic Channeling - Frascati March 23, 2004Fermilab channeling (Carrigan)
G= 0.96(n0)½ (V/cm) n0 is electron density
RF cavity 0.0005 GV/cmgaseous plasma 1 GV/cmsolid state plasma 100 GV/cm
Plasma wake field acceleration
Photo S. Carrigan
Relativistic Channeling - Frascati March 23, 2004Fermilab channeling (Carrigan)
A wakefield accelerator - E157 at SLAC
Head of beam generates plasma wakefield,
tail is accelerated by 80 MeV. Also do e+ - E162.
(E-164 later version , ne O(3*1015), 100 micron bunches
- see 2003 Particle Acc. Conf, p. 1530)M. Hogan Phys. Plasmas 7, 2241 (2000)
Relativistic Channeling - Frascati March 23, 2004Fermilab channeling (Carrigan)
Results from SLAC E-157
Barov and Rosenzweig (UCLA) see similar results at Fermilab. 100 MeV/m using A0 14 MeV photoinjector. 6-8 nC, ne ~ 1014/cc.
Acceleration
M. Hogan Phys. Plasmas 7, 2241 (2000)
Relativistic Channeling - Frascati March 23, 2004Fermilab channeling (Carrigan)
Basic Crystal Accelerator Concept
Big problems! blow away material dechanneling
excite plasma wake field in solid with density a thousand times gas use channeling to reduce energy loss, focus, and maybe even cool
Chen-Noble Tahoe (1996), p. 441
Positives very high power, femtosec lasers radiative damping (Huang, Ruth, Chen)
Relativistic Channeling - Frascati March 23, 2004Fermilab channeling (Carrigan)
The Fermilab A0 photoinjector
So what did the Fermilab A0 photoinjector do? studied channeling nearer extreme conditions needed for a channeling accelerator Could we make a crystal accelerator or do
unique channeling studies?
• built as Tesla injector prototype in the late 1990s by Helen Edwards’ group • essentially a gigantic phototube powered by a laser followed by a so-called 3.5 MeV warm RF gun and second stage of a Tesla superconducting nine-cell RF cavity• beam energy 14.4 MeV. • very large picosecond electron pulses of 10 nanocoulombs or 106 A/cm2
Relativistic Channeling - Frascati March 23, 2004Fermilab channeling (Carrigan)
Crystal survivability?
excite electronic plasmatunnel ionization
partial or total lattice ionization
piepi mm 2/1)/(
crystal disorder, fracture, or vaporizationlattice dissociation via
plasmon absorptionlifetime: (ion plasma frequency)-1
vaporization O(10-100 fs)hydrodynamic heating O(1-10 ps) [Livermore]
2/120 /4 ep men
electronic plasma decayvia interband transitionslifetime: (plasma frequency)-O(fs)excitation of phonons in lattice
Process
Relativistic Channeling - Frascati March 23, 2004Fermilab channeling (Carrigan)
Intense beam through crystal could blow away electrons in much less than a picosecond
Acts like a larger screening length
Dynamic channeling
20
2
22
2
22
20
2/1
2lnln
2lnln
2 rCa
uCa
u
r
TF
TFL Andersen 96
0
0.5
1
1.5
2
0 0.5 1 1.5Screen length (Angstroms)
Rela
tive
criti
cal a
ngle
300 K
0
0.5
1
1.5
2
0 500 1000 1500 2000Temperature (K)
Rre
lati
ve c
riti
cal angle screening = 1.5
screening = 0.2
Relativistic Channeling - Frascati March 23, 2004Fermilab channeling (Carrigan)
Crystal destructionACCELERATION
G (gradient) proportional to (n0)1/2, P (power) prop to n0
for G = 1 GeV/cm P = 105 J/cm3
1019 W/cm3
for O(10 fs) @ 1 GeV/cmLASER
1011 W/gm Belotshitkii & Kumakhov (1979) or 106 a/cm2 for particle beam1012 W/cm3 ns long pulses1013 W/cm3 Chen-Noble (1987) fracture threshold O(0.1 ns) ref 16Skin depth < 0.1 mm
PARTICLE BEAM1011 A/cm2 Chen & Noble (1987) (crystal OK for 10 fs)
LATTICE IONIZED1015-1016 W/cm2 Chen & Noble (1996)/laser
Relativistic Channeling - Frascati March 23, 2004Fermilab channeling (Carrigan)
A0 RF GUN FOR COMPARISONI/cm2 = 10 nc/1 ps in 1 mm2 or 106 A/cm2 (OK driver @
1GeV)
A0 LASER FOR COMPARISON10 W/cm3 slap ruptured (continuous, 1015W/cm3 for
10 fs)109 W/cm2 damage on lens1018 W/cm2 1 Joule on 10 μm spot in 1 ps (OK driver)
Situation for Fermilab A0 photoinjector
Relativistic Channeling - Frascati March 23, 2004Fermilab channeling (Carrigan)
Earlier high charge CR experiments
0 100
2 10-5
4 10-5
6 10-5
8 10-5
1 10-4
1.2 10-4
1.4 10-4
1 100 104 106 108 1010 1012
n/bunch
conjecture for dynamic channeling
30 MeV Si(110) over .5 cm2 on Si(110) (triangle) Gary et al., PR B42, 7 (1990)
5.4 MeV Diamond <110>, sig = 0.8 mm (blk dot) Genz et al., APL 57, 2956 (90)
Relativistic Channeling - Frascati March 23, 2004Fermilab channeling (Carrigan)
ICTICT goniometer S1
Spectrometer
magnet
Faraday
cup
Detector
1 m
Ne = 5*1010
R. Carrigan, et al. Phys. Rev. A68, 062901 (2003)
Fermilab A0 schematic layout
Relativistic Channeling - Frascati March 23, 2004Fermilab channeling (Carrigan)
A0 at the goniometer
10 nC peak, ε typically 10 mm*mrad,
10 ps
Goniometer Spectrometer
Relativistic Channeling - Frascati March 23, 2004Fermilab channeling (Carrigan)
A0 x-ray detector
Also used a CaW CCD detector, AberX, developed at Darmstadtby Joerg Freudenberger (Darmstadt thesis D17 - 1999)and Sven Fritzler (Darmstadt Diplomarbeit - 2000)
CaWAbsorber
wheel
X-raysPhototube
Relativistic Channeling - Frascati March 23, 2004Fermilab channeling (Carrigan)
4
5
6
7
8
-20 0 20 40 60 80 100Q
y(mrad)
(100) (110) (100)
0
4
8
12
16
-40 -20 0 20 40 60 80
y = 9.6615 - 0.024802x R2= 0.84092
Qx (mrad)
y = m1+m2*m0+m3*exp(-((m0-m4...
ErrorValue
0.14415.905m1
0.0019399-0.012444m2
0.302254.5175m3
0.157629.3948m4
0.283543.8981m5
0.246862.4271m6
1.704214.486m7
NA0.64401Chisq
NA0.99298R2
<100>
Planar and axial scans
random
Relativistic Channeling - Frascati March 23, 2004Fermilab channeling (Carrigan)
1.E-04
1.E+00
1.E+04
1.E+08
1.E+12
1.E+00 1.E+04 1.E+08 1.E+12 1.E+16
e/bunch
x-ra
ys/b
un
ch (
10%
en
ergy
ban
d)
Summary of high charge measurements
• σb is O(0.5 mm), length = > 7 ps ()
• Peak n/cm2 is 1013 electrons/cm2
• I/cm2 = 105 A/cm2
• flat is not ruled outFermilab
Relativistic Channeling - Frascati March 23, 2004Fermilab channeling (Carrigan)
The Future Beyond the Fermilab A0 Experiment
get into 10 fs regime ne 103 to 105 larger (small beam size important) higher energy might be better for channeling, beam size
But new experimental geometry, channeling approaches needed
Possibilities:SLAC E164 geometry for channeling radiation at 30 GeVLivermoreToronto – studying laser melting with sub picosec electron diffraction
Need a real theory of dynamic channeling!
Relativistic Channeling - Frascati March 23, 2004Fermilab channeling (Carrigan)
Using SLAC E164 to study channeling
Add crystal, goniometer, x-ray det. (integrating). Now at FFTB (final foc TB) for big q.Channeling radiation ala N. A. Filatova, Phys. Rev. Lett. 48, 488 @ 12 GeV, (1982), K. Kirsebom,
et al., NIMB 119, 79 (96) @ 150 GeV.
Crystalgamma detector
C. Barnes et al., Proc. 2003 Particle Acc. Conf. 1530 (03)
Beam:
charge: 2*1010/bunch (< A0), size 25 m.
time: 100 mm/c = 300 fs
I/cm2: 50*106 A/cm2 (500 times better than A0)
This could take channeling measurements nearly to the plasma regime.
Relativistic Channeling - Frascati March 23, 2004Fermilab channeling (Carrigan)
High energy density application channeling with intense “proton beam”
“Isochoric Heating…”, P. Patel, et al., PRL 91, 125004 (03) [Livermore]
flat focused
ns
m
Laser: 50 m dia5*1018 W/cm2
100 fs
Protons80-250 m dia1012 protons4-12 MeV
Instrument with streak camera, layers of radiochromic film, interferometer, etc.
Could one see channeling blocking patterns, RBS off of oriented target film and study lattice properties as a function of pump and probe or time evolution after hit? World class laser could give 1014 protons.
PlasmaTemp O(4eV)
Relativistic Channeling - Frascati March 23, 2004Fermilab channeling (Carrigan)
Toronto - studying laser melting with sub picosec electron diffraction
See solid to liquid phase transition for electron diffraction in 0.02 m polycrystalline aluminum foil heated with 7*1010 w/cm2 laser over 3.5 ps. Transition is electron – phonon coupling.
B. Siwick, et al., Science 302, 1382 (03), D. Von der Linde, Science 302, 1345 (03)
fcc lattice
liquid
Relativistic Channeling - Frascati March 23, 2004Fermilab channeling (Carrigan)
The Far Future?
Channeling
Related
Accelerator
Project
Relativistic Channeling - Frascati March 23, 2004Fermilab channeling (Carrigan)
Fermilab A0 Participants
R. A. Carrigan, Jr., J.-P. Carneiro, P. L. Colestock, H. T. Edwards,
W. H. Hartung, and K. P. KoepkeFermi National Accelerator Laboratory
M. J. FitchUniversity of Rochester
N. BarovUniversity of California at Los Angeles
J. Freudenberger, S. Fritzler, H. Genz, A. Richter, and A. ZilgesInstitut für Kernphysik, Technische Universität Darmstadt,
J. P. F. SellschopSchonland Centre, University of the Witwatersrand