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Based on the theory of conservation of momentum, a theoretical method of calculating the shock pressure induced by laser loading via diagnosing plasma recoil momentum is presented. When a high-power laser irradiates a solid target surface, the plasma jet with high velocity induced by laser has a recoil effect on the target. Then the plasma recoil momentum induced by laser irradiating solid target can be calculated by the distribution of electron plasma. At the same time, the subcritical electron plasma density could be measured by interferometry and the supercritical plasma density could be fitted into exponential function form. So the variation of shock wave pressure could be calculated via diagnosing plasma recoil momentum. This method does not consider the relationship between D and u, nor uses the window material nor needs the steady shock propagation. It is a useful method of studying the material property under high strain rate and isentropic compression. Numerical simulation results using one-dimensional radiation hydro code called MULTI for laser intensities ranging from 51012 W/cm2 to 51013 W/cm2 are presented. The electron temperature is nearly equal to the ion temperature for the laser pulse duration 2 ns but much greater than the ion temperature for = 1 ns. This means for that ns pulse duration, the difference between electron and ion temperature could be ignored in general. And in order to fit the shock pressure value more exactly, the density of ablation surface nabl = n0exp(-1) is used in the simulations. The simulation results indicate that the value of calculating shock pressure obtained via diagnosing plasma recoil momentum is similar to the shock pressure calculated by MULTI simulation for ns pulse duration. And the value of calculating shock pressure is also similar to the experimental value for pulse duration = 5 ns. From the simulation results, it is obvious that the method of calculating the shock pressure via diagnosing plasma recoil momentum is effective and feasible.
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Keywords:
- plasma recoil /
- shock pressure /
- laser loading /
- laser interference
[1] Remington B A, Drake R P, Ryutov D D 2006 Rev. Mod. Phys. 78 755
[2] Yu Y Y, Xi F, Dai C D, Cai L C, Tan Y, Li X M, Wu Q, Tan H 2015 Chin. Phys. B 24 066201
[3] Glenzer S H, MacGowan B J, Michel P, et al. 2010 Science 327 1228
[4] Cohen T, Herren K A, Thompson M S, Lin J, Pakhomov A V 2005 AIP Conf. Proc. 766 406
[5] Phipps C, Birkan M, Bohn W, Eckel H A, Horisawa H, Lippert T, Michaelis M, Rezunkov Y, Sasoh A, Schall W, Scharring S, Sinko J 2010 J. Propulsion Power 26 609
[6] Liu T H, Hao Z Q, Gao X, Liu Z H, Lin J Q 2014 Chin. Phys. B 23 085203
[7] Celliers P M, Collins G W, Hicks D G, Eggert J H 2005 J. Appl. Phys. 98 113529
[8] Veeser L R, Solem J C 1978 Phys. Rev. Lett. 40 1391
[9] DaSilva L B, Celliers P, Collins G W, Budil K S, Holmes N C, Barbee Jr T W, Hammel B A, Kilkenny J D, Wallace R J, Ross M, Cauble R, Ng A, Chiu G 1997 Phys. Rev. Lett. 78 483
[10] Wang F, Peng X S, Shan L Q, Li M, Xue Q X, Xu T, Wei H Y 2014 Acta Phys. Sin. 63 185202 (in Chinese) [王峰, 彭晓世, 单连强, 李牧, 薛全喜, 徐涛, 魏惠月 2014 63 185202]
[11] Amadou N, Brambrink E, Benuzzi-Mounaix A, Vinci T, de Ressguier T, Mazevet S, Morard G, Guyot F, Ozaki N, Miyanishi K, Koenig M 2012 AIP Conf. Proc. 1426 1525
[12] Phipps Jr C R, Turner T P, Harrison R F, York G W, Osborne W Z, Anderson G K, Corlis X F, Haynes L C, Steele H S, Spicochi K C, King T R 1988 J. Appl. Phys. 64 1083
[13] Pirri A N 1973 Phys. Fluids 16 1435
[14] Thompson M S, Herren K A, Lin J, Pakhomov A V 2003 AIP Conf. Proc. 664 206
[15] Caruso A, Gratton R 1968 Plasma Phys. 10 867
[16] Singh R K, Holland O W, Narayan J 1990 J. Appl. Phys. 68 233
[17] Manheimer W M, Colombant D G, Gardner J H 1982 Phys. Fluids 25 1644
[18] Lindl J 1995 Phys. Plasmas 2 3933
[19] Fabbro R, Max C, Fabre E 1985 Phys. Fluids 28 1463
[20] Meyer B, Thiell G 1984 Phys. Fluids 27 302
[21] Eliezer S 2002 The Interaction of High-Power Lasers with Plasmas (1st Ed.) (London: Institute of Physics Publishing) pp43-45
[22] Gurevich A V, Pariiskaya L V, Pitaevskii L P 1966 Sov. Phys. JETP 22 449
[23] Allen J E, Andrews J G 1970 J. Plasma Phys. 4 187
[24] Dorozhkina D S, Semenov V E 1998 Phys. Rev. Lett. 81 2691
[25] Mora P 2003 Phys. Rev. Lett. 90 185002
[26] Mora P, Grismayer T 2009 Phys. Rev. Lett. 102 145001
[27] Diaw A, Mora P 2012 Phys. Rev. E 86 026403
[28] Chen F F (translated by Lin G H) 1980 Introduction of Plasma Physics (1st Ed.) (Beijing: People's Education Press) pp91-92 (in Chinese) [Chen F F 著 (林光海 译) 1980 等离子体物理学导论 第一版(北京: 人民教育出版社) 第 91-92 页]
[29] Crow J E, Auer P L, Allen J E 1975 J. Plasma Phys. 14 65
[30] Qin S, McTeer A 2007 Surface and Coatings Technology 201 6508
[31] Glenzer S H, Redmer R 2009 Rev. Mod. Phys. 81 1625
[32] Smolinsky G, Vasile M J 1979 European Polymer J. 15 87
[33] DaSilva L B, Barbee Jr T W, Cauble R, Celliers P, Ciarlo D, Libby S, London R A, Matthews D, Mrowka S, Moreno J C, Ress D, Trebes J E, Wan A S, Weber F 1995 Phys. Rev. Lett. 74 3991
[34] Gabl E F, Failor B H, Busch G E, Schroeder R J, Ress D, Suter L 1990 Phys. Fluids B 2 2437
[35] Buccellato R, Cunningham P F, Michaelis M M, Prause A 1992 Laser and Particle Beams 10 697
[36] Wang C, Wang W, Sun J R, Fang Z H, Wu J, Fu S Z, Ma W X, Gu Y, Wang S J, Zhang G P, Zheng W D, Zhang T X, Peng H M, Shao P, Yi K, Lin Z Q, Wang Z S, Wang H C, Zhou B, Chen L Y, Jin C S 2005 Acta Phys. Sin. 54 202 (in Chinese) [王琛, 王伟, 孙今人, 方智恒, 吴江, 傅思祖, 马伟新, 顾援, 王世绩, 张国平, 郑无敌, 张覃鑫, 彭惠民, 邵平, 易葵, 林尊琪, 王占山, 王洪昌, 周斌, 陈玲燕, 金春水 2005 54 202]
[37] Singh R K, Narayan J 1990 Phys. Rev. B 41 8843
[38] Aliverdiev A, Batani D, Dezulian R, Vinci T, Benuzzi-Mounaix A, Koenig M, Malka V 2008 Phys. Rev. E 78 046404
[39] Fujimoto T 2004 Plasma Spectroscopy (1st Ed.) (Oxford: Clarendon Press) p205
[40] Meng S J, Li Z H, Qin Y, Ye F, Xu R K 2011 Acta Phys. Sin. 60 045211 (in Chinese) [蒙世坚, 李正宏, 秦义, 叶繁, 徐荣昆 2011 60 045211]
[41] Ramis R, Schmalz R, Meyer-Ter-Vehn J 1988 Comp. Phys. Commn. 49 475
[42] Dhareshwar L J, Gopi N, Murali C G, Gupta N K, Godwal B K 2005 Shock Waves 14 231
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[1] Remington B A, Drake R P, Ryutov D D 2006 Rev. Mod. Phys. 78 755
[2] Yu Y Y, Xi F, Dai C D, Cai L C, Tan Y, Li X M, Wu Q, Tan H 2015 Chin. Phys. B 24 066201
[3] Glenzer S H, MacGowan B J, Michel P, et al. 2010 Science 327 1228
[4] Cohen T, Herren K A, Thompson M S, Lin J, Pakhomov A V 2005 AIP Conf. Proc. 766 406
[5] Phipps C, Birkan M, Bohn W, Eckel H A, Horisawa H, Lippert T, Michaelis M, Rezunkov Y, Sasoh A, Schall W, Scharring S, Sinko J 2010 J. Propulsion Power 26 609
[6] Liu T H, Hao Z Q, Gao X, Liu Z H, Lin J Q 2014 Chin. Phys. B 23 085203
[7] Celliers P M, Collins G W, Hicks D G, Eggert J H 2005 J. Appl. Phys. 98 113529
[8] Veeser L R, Solem J C 1978 Phys. Rev. Lett. 40 1391
[9] DaSilva L B, Celliers P, Collins G W, Budil K S, Holmes N C, Barbee Jr T W, Hammel B A, Kilkenny J D, Wallace R J, Ross M, Cauble R, Ng A, Chiu G 1997 Phys. Rev. Lett. 78 483
[10] Wang F, Peng X S, Shan L Q, Li M, Xue Q X, Xu T, Wei H Y 2014 Acta Phys. Sin. 63 185202 (in Chinese) [王峰, 彭晓世, 单连强, 李牧, 薛全喜, 徐涛, 魏惠月 2014 63 185202]
[11] Amadou N, Brambrink E, Benuzzi-Mounaix A, Vinci T, de Ressguier T, Mazevet S, Morard G, Guyot F, Ozaki N, Miyanishi K, Koenig M 2012 AIP Conf. Proc. 1426 1525
[12] Phipps Jr C R, Turner T P, Harrison R F, York G W, Osborne W Z, Anderson G K, Corlis X F, Haynes L C, Steele H S, Spicochi K C, King T R 1988 J. Appl. Phys. 64 1083
[13] Pirri A N 1973 Phys. Fluids 16 1435
[14] Thompson M S, Herren K A, Lin J, Pakhomov A V 2003 AIP Conf. Proc. 664 206
[15] Caruso A, Gratton R 1968 Plasma Phys. 10 867
[16] Singh R K, Holland O W, Narayan J 1990 J. Appl. Phys. 68 233
[17] Manheimer W M, Colombant D G, Gardner J H 1982 Phys. Fluids 25 1644
[18] Lindl J 1995 Phys. Plasmas 2 3933
[19] Fabbro R, Max C, Fabre E 1985 Phys. Fluids 28 1463
[20] Meyer B, Thiell G 1984 Phys. Fluids 27 302
[21] Eliezer S 2002 The Interaction of High-Power Lasers with Plasmas (1st Ed.) (London: Institute of Physics Publishing) pp43-45
[22] Gurevich A V, Pariiskaya L V, Pitaevskii L P 1966 Sov. Phys. JETP 22 449
[23] Allen J E, Andrews J G 1970 J. Plasma Phys. 4 187
[24] Dorozhkina D S, Semenov V E 1998 Phys. Rev. Lett. 81 2691
[25] Mora P 2003 Phys. Rev. Lett. 90 185002
[26] Mora P, Grismayer T 2009 Phys. Rev. Lett. 102 145001
[27] Diaw A, Mora P 2012 Phys. Rev. E 86 026403
[28] Chen F F (translated by Lin G H) 1980 Introduction of Plasma Physics (1st Ed.) (Beijing: People's Education Press) pp91-92 (in Chinese) [Chen F F 著 (林光海 译) 1980 等离子体物理学导论 第一版(北京: 人民教育出版社) 第 91-92 页]
[29] Crow J E, Auer P L, Allen J E 1975 J. Plasma Phys. 14 65
[30] Qin S, McTeer A 2007 Surface and Coatings Technology 201 6508
[31] Glenzer S H, Redmer R 2009 Rev. Mod. Phys. 81 1625
[32] Smolinsky G, Vasile M J 1979 European Polymer J. 15 87
[33] DaSilva L B, Barbee Jr T W, Cauble R, Celliers P, Ciarlo D, Libby S, London R A, Matthews D, Mrowka S, Moreno J C, Ress D, Trebes J E, Wan A S, Weber F 1995 Phys. Rev. Lett. 74 3991
[34] Gabl E F, Failor B H, Busch G E, Schroeder R J, Ress D, Suter L 1990 Phys. Fluids B 2 2437
[35] Buccellato R, Cunningham P F, Michaelis M M, Prause A 1992 Laser and Particle Beams 10 697
[36] Wang C, Wang W, Sun J R, Fang Z H, Wu J, Fu S Z, Ma W X, Gu Y, Wang S J, Zhang G P, Zheng W D, Zhang T X, Peng H M, Shao P, Yi K, Lin Z Q, Wang Z S, Wang H C, Zhou B, Chen L Y, Jin C S 2005 Acta Phys. Sin. 54 202 (in Chinese) [王琛, 王伟, 孙今人, 方智恒, 吴江, 傅思祖, 马伟新, 顾援, 王世绩, 张国平, 郑无敌, 张覃鑫, 彭惠民, 邵平, 易葵, 林尊琪, 王占山, 王洪昌, 周斌, 陈玲燕, 金春水 2005 54 202]
[37] Singh R K, Narayan J 1990 Phys. Rev. B 41 8843
[38] Aliverdiev A, Batani D, Dezulian R, Vinci T, Benuzzi-Mounaix A, Koenig M, Malka V 2008 Phys. Rev. E 78 046404
[39] Fujimoto T 2004 Plasma Spectroscopy (1st Ed.) (Oxford: Clarendon Press) p205
[40] Meng S J, Li Z H, Qin Y, Ye F, Xu R K 2011 Acta Phys. Sin. 60 045211 (in Chinese) [蒙世坚, 李正宏, 秦义, 叶繁, 徐荣昆 2011 60 045211]
[41] Ramis R, Schmalz R, Meyer-Ter-Vehn J 1988 Comp. Phys. Commn. 49 475
[42] Dhareshwar L J, Gopi N, Murali C G, Gupta N K, Godwal B K 2005 Shock Waves 14 231
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