Transcript J. Psikal
ENHANCED LASER-DRIVEN
PROTON ACCELERATION
IN MASS-LIMITED TARGETS
Jan Psikal
PhD student at
1
Department of Physical Electronics, Faculty of Nuclear Sciences
and Physical Engineering, Czech Technical University in Prague
Centre Lasers Intenses et Applications, CNRS – CEA –
Universite Bordeaux 1, Talence, France
2
7th DDFI workshop, Prague
3.5. – 6.5.2009
in collaboration with …
J. Limpouch, O. Klimo
Faculty of Nuclear Sciences
and Physical Engineering,
CTU Prague, Czechia
V. Tikhonchuk, E. D’Humieres
CELIA, Universite Bordeaux 1 CNRS – CEA, Talence, France
S. Ter-Avetisyan, S. Kar
Department of Physics and
Astronomy, The Queen’s
University of Belfast, UK
J. Fuchs and others
A. Andreev
LULI, Ecole Polytechnique –
CNRS – CEA - UPMC,
Palaiseau, France
Vavilov State Optical Institute,
St. Petersburg, Russia
Laser-driven proton acceleration
Target normal sheath acceleration (TNSA) mechanism
1) electron heating by a short and intense laser pulse
two temperature electron distribution – cold and hot electrons
2) electric fields 1012-1013 V/m (104 times higher than in
conventional accelerators)
3) ion acceleration
hot electrons are cooled
down and protons originated
from water or hydrocarbon
surface contaminants are
accelerated
Possible applications and their
requirements
- proton radiography of laser interactions (already used)
- oncological hadrontherapy and medical physics
- neutron source and isotope production
- fast ignition of inertial confinement fusion
applications employing laser-driven proton beams requires
improvement of the beam parameters in several areas:
1) increase of maximum energy
2) increase of laser-to-proton conversion efficiency
3) reduction of the beam divergence
4) reduction of the ion energy spread (i.e., monoenergetic beams)
Electron recirculation in thin foils
Y. Sentoku et al., Phys. Plasmas 10,
2009 (2003)
A. J. Mackinnon et al., Phys. Rev.
Lett. 88, 215006 (2002)
decreasing foil thickness increasing hot electron density (due to
recirculation and lower transverse electron beam spread) higher
accelerating electric fields higher ion acceleration efficiency
(maximum and total proton energies)
Electron recirculation in mass-limited
foils
Lp > Ds
Lp spatial length of laser pulse
Ds transverse size of foil
Experiments with limited mass foils
laser pulse of duration 350 fs, =529 nm, I21019Wcm-2 m2,
beam width FWHM = 6 m is incident (incidence angle 45º) on
a thin Au foil (thickness 2 m) with reduced target transverse
surface area down to 50 80 m2
S. Buffenchoux et al., Phys. Rev. Lett., submitted
constant thickness
RCF with hole
(a)
variable
surface
Magnetic
spectrometer
laser
Au 2 µm thick
Au 2 µm thick + 10 µm thick
0.1 n nanofoam upfront
15
c
Au 2 µm thick
Au 2 µm thick + 10 µm thick
0.1 n nanocloth upfront
10
c
10
1
5
0.1
0
0.001
(b)
0.01
0.1
Surface (mm²)
1
10
0.01
0.001
0.01
0.1
Surface (mm²)
1
10
Experiments with limited mass foils
with decreasing target surface (and constant foil thickness)
• enhancement of maximum proton energy
• strong enhancement of laser-to-proton conversion efficiency
• reduced ion beam divergence
S. Buffenchoux et al., Phys. Rev. Lett., submitted
(a) azimuthally averaged
angular proton dose
profiles, extracted from
films corresponding to
E/Emax~0.
(b) FWHM of angular
transverse proton beam
profiles
2D3V PIC simulations
Simulation parameters: To decrease high computational demands,
the laser pulse duration and foil surface (e.g. transverse foil size in
2D case) are reduced in our simulations. Nevertheless, the ratio of
the transverse foil size to the spatial length of the pulse is similar
(approx. 0.6 for smaller foil – 5080 m2 in the experiment - and
2.4 for larger foil - 200300 m2 in the experiment).
laser pulse duration 40 (=2 fs) is incident on target from 35 to 75,
intensity I=3.41019 W/cm2, beam width (FWHM) 7, =600 nm,
target density 20nc composed of protons and electrons
1) smaller foil 202
L < Ds/vetrans
2) larger foil 802
L > Ds/vetrans
vetrans c
Ds transverse foil size, vetrans transverse velocity of hot electrons
Time evolution of electron energy
spectra – smaller foil
Time evolution of electron energy
spectra – larger foil
Proton energy spectra characteristics
maximum proton energies
are in agreement with
experiment
higher accelerating
electric field is sustained
for a longer time as hot
electrons are reflected
back from foil edges
proton conversion efficiency – difficult to determine from
numerical simulations (which protons to take into account?)
protons emitted from the central part of the foil – 3.5% for
larger vs. 5.5% for smaller foil – which is the difference 60%
(but at least 400% in experiment!)
How to explain the discrepancy
in the conversion efficiency?
maximum proton energy
total energy (e.g., conversion
efficiency)
P. Mora, Phys. Rev.
Lett. 90, 185002
(2003)
PIC code
2D
3D
transverse
foil size
20
20 20
J. Schreiber et al.,
Phys. Rev. Lett. 97,
045005 (2006)
80
80 80
foil “surface”
20
400
80
6400
conversion efficiency is overestimated in 2D, we expect
higher difference in hot electron density
3D approach is necessary
Mutual interaction of two ion species
proton phase space
proton energy spectra
• A thin layer of protons at the rear surface of the target is accelerated by a strong
electric field. Heavy ions are accelereted somewhat later because of their inertia.
They shield the sheath electric field for other protons from deeper layers and also
interact with earlier accelerated protons.
• The fastest protons are futher accelerated by electrons, the slower (close to heavy
ion front) are accelerated by heavy ion front which acts like a piston and are
decelerated by Coulomb explosion of the fastest protons at the same time.
Mutual interaction of two ion species
Simulation parameters: laser pulse is incident perpendicularly on
foils, plasma composed of protons and C4+ ions in ratio 1:1
1) smaller foil 202
2) larger foil 802
quasimonoenergetic
feature in proton energy
spectra is observed for
smaller foil
Z1=4, Z2=1, A1=12, A2=1
1.6 MeV
V. T. Tikhonchuk et al. Plasma
Phys. Control. Fusion 47,
B869 (2005)
Why we do not observe this modulation in proton
energy spectra for larger foil?
smaller surface
overall energy spectra:
larger surface
Experimental results
parameters: perpendicular incidence, pulse duration 5 ps, focal spot
4 m, intensity 31020 Wcm-2
S. Kar, private communication
1.E+08
50x50x2 um Cu-TP2-IP1
50x50x2 um Cu-TP1-IP1
dN/dE [arb. unit]
500x500x20 um Cu-TP1-IP1
500x500x20 um Cu-TP1-IP2
1.E+07
50x50x2 um Cu-TP1-IP2
1.E+06
1.E+05
0
5
10
15
Proton Energy [MeV]
20
25
Conclusions
• reduced transverse sizes of a thin foil lead to hot
electron recirculation from foil edges, which enhances
laser-to-proton conversion efficiency and maximum
proton energy
• to observe appropriate scaling of the conversion
efficiency, 3D simulations have to be used
• strong modulations in proton energy spectra (dips and
peaks) could be observed in foils with transverse sizes of
about several times of the laser focal spot size
Thank you for your attention