Macroscopic laser-plasma interaction under strong non-local transport conditions for coupled matter and radiation

J. Nikl; M. Holec; M. Zeman; M. Kucharík; J. Limpouch; S. Weber

doi:10.1016/j.mre.2018.03.001

[1] M. Kaluza, J. Schreiber, M.I.K. Santala, G.D. Tsakiris, K. Eidmann, et al., Influence of the laser prepulse on proton acceleration in thin-foil experiments, Phys. Rev. Lett. 93 (2004) 045003.

[2] D. Batani, R. Jafer, M. Veltcheva, R. Dezulian, O. Lundh, et al., Effects of laser prepulses on laser-induced proton generation, N. J. Phys. 12 (4) (2010) 045018.

[3] J. Limpouch, O. Klimo, J. Psikal, J. Proska, F. Novotny, et al., Efficient ion beam generation in laser interactions with micro-structured targets, EPJ Web Conf. 59 (2013) 17011.

[4] A.G. MacPhee, L. Divol, A.J. Kemp, K.U. Akli, F.N. Beg, et al., Limitation on prepulse level for cone-guided fast-ignition inertial confinement fusion, Phys. Rev. Lett. 104 (2010) 055002.

[5] S.D. Baton, M. Koenig, J. Fuchs, A. Benuzzi-Mounaix, P. Guillou, et al., Inhibition of fast electron energy deposition due to preplasma filling of cone-attached targets, Phys. Plasma. 15 (4) (2008) 042706.

[6] O. Klimo, J. Limpouch, N. Zhavoronkov, Numerical and experimental studies of K-a emission from femtosecond-laser-irradiated foil targets, J. Phys. IV France 133 (2006) 1181-1183.

[7] A. Zhidkov, A. Sasaki, T. Utsumi, I. Fukumoto, T. Tajima, et al., Prepulse effects on the interaction of intense femtosecond laser pulses with high-Z solids, Phys. Rev. E 62 (2000) 7232-7240.

[8] M. Holec, J. Nikl, M. Vranic, S. Weber, The effect of pre-plasma formation undernonlocal transport conditions for ultrarelativisticlaserplasma interaction, Plasma Phys. Control. Fusion 60 (2018), 044019.

[9] M. Holec, Numerical Modeling of Nonlocal Energy Transport in Laserheated Plasmas (Doctoral thesis), Czech Technical University in Prague, 2016, http://hdl.handle.net/10467/68302.

[10] J. Nikl, Some Aspects of Numerical Methods for Laser Plasma Hydrodynamics (Master's thesis), Czech Technical University in Prague, 2017.

[11] M. Holec, J. Limpouch, R. Liska, S. Weber, High-order discontinuous Galerkin nonlocal transport and energy equations scheme for radiation hydrodynamics, Int. J. Numer. Meth. Fluid. 83 (2016) 779-797.

[12] M. Holec, J. Nikl, S. Weber, Nonlocal transport hydrodynamic model for laser heated plasmas, Phys. Plasmas 25 (2018), 032704.

[13] V. Silin, Theory of nonlocal transport in laser produced plasmas, Physica Scripta T 63 (1996) 148.

[14] J. Luciani, P. Mora, J. Virmont, Nonlocal heat transport due to steep temperature gradients, Phys. Rev. Lett. 51 (1983) 1664.

[15] E. Epperlein, Kinetic theory of laser filamentation in plasmas, Phys. Rev. Lett. 65 (1990) 2145.

[16] E. Epperlein, R. Short, Nonlocal heat transport effects on the filamentation of light in plasmas, Phys. Fluids B 4 (1992) 2211.

[17] M. Prasad, D. Kershaw, Nonviability of some nonlocal electron heat transport modeling, Phys. Fluids B 1 (1989) 2430.

[18] M. Prasad, D. Kershaw, Stable solutions of nonlocal electron heat transport equations, Phys. Fluids B 3 (1991) 3087.

[19] G.P. Schurtz, P.D. Nicola , M. Busquet, A nonlocal electron conduction model for multidimensional radiation hydrodynamics codes, Phys. Plasma. 7 (10) (2000) 4238.

[20] V.N. Goncharov, O.V. Gotchev, E. Vianello, T.R. Boehly, J.P. Knauer, et al., Early stage of implosion in inertial confinement fusion: shock timing and perturbation evolution, Phys. Plasma. 13 (1) (2006) 1-28.

[21] S. Chapman, T.G. Cowling, Mathematical Theory of Nonuniform Gases, Cambridge University Press, Cambridge, 1952.

[22] M. Gittings, R. Weaver, M. Clover, T. Betlach, N. Byrne, et al., The RAGE radiation-hydrodynamic code, Comput. Sci. Discov. 1 (2008) 015005.

[23] N.J. Turner, J.M. Stone, A module for radiation hydrodynamic calculations with ZEUS-2D using flux-limited diffusion, Astrophys. J. Suppl. 135 (1) (2001) 30.

[24] C. Levermore, Relating Eddington factors to flux limiters, J. Quant. Spectrosc. Radiat. Transf. 31 (2) (1984) 149-160.

[25] G.L. Olson, L.H. Auer, M.L. Hall, Diffusion, P1, and other approximate forms of radiation transport, J. Quant. Spectrosc. Radiat. Transf. 64 (6) (2000) 619-634.

[26] B.E. Freeman, L.E. Hauser, J.T. Palmer, S. Pickard, G.M. Simmons, et al., Tech. Rep. 2135, DASA, The VERA Code: A One Dimensional Radiation Hydrodynamics Code, vol. I, Systems, Science, and Software, Inc, 1968. La Jolla.

[27] D.S. Kershaw, Flux Limiting Nature's Own Way, Tech. Rep. UCRL- 78378, Lawrence Livermore National Laboratory, 1976.

[28] B.G. Carlson, Solution of the Transport Equation by Sn Approximations, Tech. Rep. LA-1599, Los Alamos Scientific Laboratory, 1953.

[29] G.C. Pomraning, The Equations of Radiation Hydrodynamics, Pergamon Press, Oxford, 1973.

[30] M. Klassen, R. Kuiper, R.E. Pudritz, T. Peters, R. Banerjee, et al., A general hybrid radiation transport scheme for star formation simulations on an adaptive grid, Astrophys. J. 797 (1) (2014) 4.

[31] E. Caramana, D. Burton, M. Shashkov, P. Whalen, The construction of compatible hydrodynamics algorithms utilizing conservation of total energy, J. Comput. Phys. 146 (1) (1998) 227-262.

[32] P.L. Bhatnagar, E.P. Gross, M. Krook, A model for collision processes in gases. I. Small amplitude processes in charged and neutral onecomponent systems, Phys. Rev. 94 (3) (1954) 511-525.

[33] W. Manheimer, D. Colombant, V. Goncharov, The development of a Krook model for nonlocal transport in laser produced plasmas. I. Basic theory, Phys. Plasma. 15 (8) (2008) 1-10.

[34] Y.V. Afanasev, N.N. Demchenko, O.N. Krokhin, V.B. Rosanov, Absorption and reflection of laser radiation by a dispersing high-temperature plasma, Sov. Phys. JETP 45 (1977) 90.

[35] J. Velechovsky′, Modelov_aní absorpce laserov_eho z_a_rení v plazmatu, Bachelor Project, Czech Technical University in Prague, 2009.

[36] T. Kapin, M. Kucha_rík, J. Limpouch, R. Liska, Hydrodynamic simulations of laser interactions with low-density foams, Czech. J. Phys. 56 (2006) B493-B499.

[37] M. Born, E. Wolf, Principles of Optics: Electromagnetic Theory of Propagation, Interference and Diffraction of Light, Cambridge University Press, 1999.

[38] C.E. Shannon, Communication in the presence of noise, in: Proceedings of the IRE 37(1), 1949, pp. 10-21.

[39] T.J. Barth, Numerical methods for gasdynamic systems on unstructured meshes, in: D. Kr€oner, M. Ohlberger, C. Rohde (Eds.), An Introduction to Recent Developments in Theory and Numerics for Conservation Laws: Proceedings of the International School on Theory and Numerics for Conservation Laws, vol. 1999, Springer, Berlin, Freiburg/Littenweiler, October 20e24, 1997, pp. 195e285.

[40] K. Eidmann, J. Meyer-ter-Vehn, T. Schlegel, S. Hu¨ ller, Hydrodynamic simulation of subpicosecond laser interaction with solid-density matter, Phys. Rev. E 62 (2000) 1202.

[41] S.P. Regan, R. Epstein, V.N. Goncharov, I.V. Igumenshchev, D. Li, et al., Laser absorption, mass ablation rate, and shock heating in direct-drive inertial confinement fusion, Phys. Plasma. 14 (5) (2007) 056305.

[42] L. Spitzer Jr., R. H€arm, Transport phenomena in a completely ionized gas, Phys. Rev. 89 (1953) 977.

[43] Y. Lee, R. More, An electron conductivity model for dense plasmas, Phys. Fluids 27 (1984) 1273.

[44] N. Ashcroft, N. Mermin, Solid State Physics, Saunders College Publisher, USA, 1976.

[45] H. Milchberg, R. Freeman, S. Davey, Reflectivity of a simple metal from room temperature to 106 K, Phys. Rev. Lett. 61 (1988) 2364.

[46] P.B. Johnson, R.W. Christy, Optical constants of the noble metals, Phys. Rev. B 6 (12) (1972) 4370.

[47] G. Tsakiris, K. Eidmann, An approximate method for calculating Planck and Rosseland mean opacities in hot, dense plasmas, J. Quant. Spectrosc. Radiat. Transf. 38 (5) (1987) 353-368.

[48] N. Vaytet, M. Gonz_alez, E. Audit, G. Chabrier, The influence of frequency-dependent radiative transfer on the structures of radiative shocks, J. Quant. Spectrosc. Radiat. Transf. 125 (2013) 105e122.

[49] D. Mihalas, B. Mihalas, Foundations of Radiation Hydrodynamics, Oxford University Press, New York, 1985.

[50] J.J. Honrubia, J.M. Aragon_es, Finite element method for charged-particle calculations, Nucl. Sci. Eng. 93 (4) (1986) 386-402.

[51] Y. Zeldovich, Y. Raizer, Physics of Shock Waves and High-temperature Hydrodynamic Phenomena, Dover Publications, New York, 2002.

[52] C.D. Levermore, G.C. Pomraning, A flux-limited diffusion theory, Astrophys. J. 248 (1981) 321.

[53] G.N. Minerbo, Maximum entropy Eddington factors, J. Quant. Spectrosc. Radiat. Transf. 20 (1978) 541.

[54] M. Shashkov, S. Steinberg, Solving diffusion equations with rough coefficients in rough grids, J. Comput. Phys. 129 (2) (1996) 383-405.

[55] E. Livne, A. Glasner, A finite difference scheme for the heat conduction equation, J. Comput. Phys. 66 (1) (1985) 59-66.

[56] D.A. Knoll, W.J. Rider, G.L. Olson, An efficient nonlinear solution method for non-equilibrium radiation diffusion, J. Quant. Spectrosc. Radiat. Transf. 63 (1) (1999) 15-29.

[57] D.A. Knoll, W.J. Rider, G.L. Olson, Nonlinear convergence, accuracy, and time step control in nonequilibrium radiation diffusion, J. Quant. Spectrosc. Radiat. Transf. 70 (1) (2001) 25-36.

[58] E. Epperlein, R. Short, A practical nonlocal model for electron heat transport in laser plasmas, Phys. Fluids B 3 (1991) 3092.

[59] T. Group, SESAME: Report on the Los Alamos Equation-of-state Library, Tech. Rep. LALP-83-4, Los Alamos National Laboratory, Los Alamos, 1983.

[60] S. Lyon, J. Johnson, SESAME: The Los Alamos National Laboratory Equation of State Database, Tech. Rep. LA-UR-92-3407, Los Alamos National Laboratory, Los Alamos, 1992.

[61] J.D. Huba, Tech. Rep., NRL: Plasma Formulary, vol. 20375, Naval Research Laboratory, Washington, DC, 2013.

[62] W.S.M. Werner, Electron transport in solids for quantitative surface analysis, Surf. Interface Anal. 31 (3) (2001) 141-176.

[63] Extreme Light Infrastructure. URL http://www.eli-laser.eu.

[64] Extreme Light Infrastructure Beamlines. URL http://www.eli-beams.eu.

[65] S.Weber, S. Bechet, S. Borneis, L. Brabec, M. Bu_cka, et al., P3: an installation for high-energy density plasma physics and ultra-high intensity lasermatter interaction at ELI-Beamlines,Matter Radiat. Extremes 2 (2017) 149.

[66] B. Rus, P. Bakule, D. Kramer, J. Naylon, J. Thoma, et al., ELI-beamlines: development of next generation short-pulse laser systems, Proc. SPIE 9515 (2015) 9515OF.

[67] J. Sanz, R. Betti, V. Smalyuk, M. Olazabal-Loum_e, V. Drean, et al., Radiation hydrodynamic theory of double ablation fronts in direct-drive inertial confinement fusion, Phys. Plasma. 16 (2009) 082704.

[68] P. Mora, Theoretical model of absorption of laser light by a plasma, Phys. Fluids 25 (6) (1982) 1051.

[69] A. Caruso, R. Gratton, Some properties of the plasmas produced by irradiating light solids by laser pulses, Plasma Phys. 10 (9) (1968) 867-877.

[70] R. Sigel, K. Eidmann, F. Lavarenne, R. Schmalz, Conversion of laser light into soft X rays. Part 1: dimensional analysis, Phys. Fluids B 2 (1990) 199.

[71] A. Brantov, V. Bychenkov, Nonlocal transport in hot plasmas. Part I, Plasma Phys. Rep. 39 (2013) 698.

[72] D.G. Colombant, W.M. Manheimer, M. Busquet, Test of models for electron transport in laser produced plasmas, Phys. Plasma. 12 (7) (2005) 072702.

[73] R. Fabbro, C. Max, E. Fabre, Planar laser-driven ablation: effect of inhibited electron thermal conduction, Phys. Fluids 28 (5) (1985) 1463.

[74] V. Drean, M. Olazabal-Loum_e, J. Sanz, V. Tikhonchuk, Dynamics and stability of radiation-driven double ablation front structures, Phys. Plasma. 17 (2010) 122701.

[75] D. Batani, L. Antonelli, G. Folpini, Y. Maheut, L. Giuffrida, et al., Generation of high pressure shocks relevant to the shock-ignition intensity regime, Phys. Plasma. 21 (2014) 032710.

[76] K. Falk, M. Holec, C.J. Fontes, C.L. Fryer, C.W. Greeff, et al., Measurement of preheat due to nonlocal electron transport in warm dense matter, Phys. Rev. Lett. 120 (2018), 025002.

[77] T. Esirkepov, J. Koga, A. Sunahara, T. Morita, M. Nishikino, et al., Prepulse and amplified spontaneous emission effects on the interaction of a petawatt class laser with thin solid targets, Nucl. Instrum. Meth. A 745 (2014) 150.