1. SCT-2012, Novosibirsk, June 8, 2012 SHOCK WAVE PARTICLE ACCELERATION in LASER- PLASMA INTERACTION G.I.Dudnikova, T.V.Leseykina ICT SBRAS

2. NOVA Laser (1999, LLNL, petawatt ) HERCULES (CUOS), Table Top Petawatt  The progress in laser technology has led to light sources delivering pulses of femtosecond duration and focused intensities up to 10 22 W/cm 2 Introduction & Motivation

3.  Experiments carried out in recent years on the laser-plasma interaction show the possibility of ions acceleration to high energy (tens of MeV)  Compact and affordable ion accelerator based on laser produced plasmas have potential applications in many fields of science and medicine (radiography, isotopes generation, cancer therapy, inertial fusion).  Two more studied mechanism of ion acceleration are TNSA (60MeV, energy spread 20%), RPA ( 30 Mev, 50%, ).  The light pressure, P=2I/c, from Gigabar to Terabar may compress plasma and generate shock waves that lead to acceleration of ions due to reflection by shock front (monoenergetic component in ion spectra are produced ) Introduction & Motivation TNSA accelerating ions by ultra-intense laser pulses

4. 4 λ< R < 10 λ 5 λ< L < 400 λ 5 λ< X1< 10 λ 2 λ< X2 < 5λ 2 λ< X1 < 10 λ Set -up Foil size: 3-20 λ Foil density: 2-100 n*, Laser pulse: circular polarized Amplitude a: 2-50 a=sqrt(I/1.35 10 18 Wcm -2 (λ/µm) 2 ) Foil: full ionized H plasma HERCULES (MI), ATF BNL (NY), Sokol-P (Snezhinsk, Russia) n*= 1.1 10^21 cm^-3, λ=0.8 µm a=eE/ mc ɷ

5. Numerical Model

7. Numerical modelling is carried out on the basis of code UMKA2D3V*, allowing to carry out calculations of interaction of laser radiation with plasma of any complex structure and to choose type of boundary conditions for an electromagnetic field (reflection, absorption, periodic conditions). The effective algorithm of parallel calculations is created, and its realization on multiprocessing complexes MBC-15000 (Moscow) is carried out. At the decision it was used 100- 150 processors of complex MBC-15000, calculation up to the moment of time to the equal 400 laser periods has occupied approximately 5000 hours of processor time. * Vshivkov V.A., Dudnikova G.I. Comput. Technol., 2001.

8. Plasma formations observed in experiment (ATF BNL) and simulated (bottom row) shadowgram and a simulated plasma profile for case filamentation and solitons for ne<n*, postsolitons for ne<n*; ne=2n*; ne=2.5 n* *I. V. Pogorelsky, et.al, Proceedings of IPAC’10, Kyoto, Japan, 2010. Channel & caviton formation

9. Hole-boring and shock formation V hb = sqrt((1+k) I / ƍ c) C s =sqrt(kT e /mi) M=1.3 T e =mc 2 sqrt(1+a 2 /2) V=0.06 c

10. Palmer Charlotte A. J.; Dover N. P.; Dudnikova G. I., et. al Phys. Rev. Lett. 106, 014801 (2011) Ion phase space Ion trajectories Distribution function

11. T.C.Liu, G. Dudnikova, et.al, Phys.Plasma, 18, 2011 Ion density Proton energy spectra Ion energy phase space Flat pulse R-T instability

12. a=32 Plasma density temporal evolution. a=32, n=169 n*, d=0.25 λ I=1.4 10 21 W/cm 2, n=1.9 10 23 cm -3, d=0.25 µm Energy spectrum

13. Laser acceleration is potentially an affordable alternative to traditional cyclotron acceleration. Intense, high quality ion beams driven by relativistic laser plasma - the next generation ion accelerators. Shock-like acceleration due to the ion reflection at the front of the compressed layer in the plasma lets to obtain the quasi-monoenergetic ion bunch. In realistic geometries there are two independent obstacles to sustain quasi-mono-energetic regime of acceleration: Rayleigh-Taylor instability of plasma sheet lateral expansion of plasma Summary