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The interaction between light and plasma is one of the key problems in an inertial confinement fusion system. Some instability processes will occur when the energy of laser is absorbed by plasma. Because reducing the coherence of laser can significantly restrain the instability of the plasma, in practice, a continuous phase plate (CPP) is often used to generate the speckle and thereby to restrain the nonlinear effect in plasma. To clarify the working mechanism of CPP, the propagation characteristics of speckle field are studied in this paper. Since there are two different kinds of media in the light path, the statistical optics theory and the matrix optics method are combined to analyze the propagation characteristics of the speckle field in plasma. The ABCD matrix of the plasma is deduced. And then intensity distribution properties of the speckle filed in the plasma are calculated. Meanwhile, the autocorrelation length of the speckle field is calculated and the mechanism of the nonlinear restraint is explained. The results show that the speckle field is a paseudorandom field. It will bring a random phase disturbance to the wavefront in the propagation direction. It is very different form the ordinary Gaussian beam, the speckle filed has a limited longitudinal autocorrelation length. Though the propagation rule of the speckle field in plasma is similar to that in air, when the laser transmits into plasma, the coherence of the laser speckle weakens rapidly. The autocorrelation length of the speckle field in the plasma is shorter than that in air. Therefore, many kinds of nonlinear effects can be restrained when the speckle transmits into plasma. Specially, the autocorrelation length of the speckle is much shorter in the high density plasma. So the result of suppressing the nonlinear effect is better in plasma with high density than that with low density. This characteristic is very helpful in restraining the different nonlinear effects in plasma.
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Keywords:
- speckle /
- plasma /
- autocorrelation length
[1] Myatt J F, Zhang J, Short R W, Maximov A V, Seka W, Froula D H, Edgell D H, Michel D T, Igumenshchev I V, Hinkel D E, Michel P, Moody J D 2014 Phys. Plasmas 21 055501
[2] Leeper R J 2011 Plasma and Fusion Research 6 1104012
[3] Kurilenkov Y K, Tarakanov V P, Kov S U G 2010 Plasma Phys. Rep. 36 1227
[4] Chang T Q 1991 Laser-plasma Interaction and the Laser Fusion (Changsha:Hunan Science Press) p2 (in Chinese)[常铁强 1991 激光等离子体相互作用与激光聚变(长沙:湖南科学技术出版) 第2页]
[5] Mei Q Y, Zhao X W, Li W H, Jiang X H, Xie P, Zheng Z J, Tang D Y 1994 High Power Laser and Particle Beams 54 186 (in Chinese)[梅启庸, 赵雪薇, 李文洪, 蒋小华, 谢平, 郑志坚, 唐道源 1994 强激光与粒子束 54 186]
[6] Montgomery D S 2016 Phys. Plasmas 23 055601
[7] Livesscu D, Wei T, Mark R P 2011 J. Phys. 318 082007
[8] Dubinov A E, Petrik A G, Kurkin S A, Frolov N S, Koronovskii A A 2016 Phys. Plasmas 23 042105
[9] Xiang J, Zheng C Y, Liu Z J 2010 Acta Phys. Sin. 59 8717 (in Chinese)[项江, 郑春阳, 刘占军 2010 物理学报 59 8717]
[10] Zhang L, Dong Q L, Zhang J, Wang S J, Sheng Z M, He M Q, Zhang J 2009 Acta Phys. Sin. 58 1833 (in Chinese)[张蕾, 董全力, 赵静, 王首钧, 盛政明, 何民卿, 张杰 2009 物理学报 58 1833]
[11] Hafizi B, Palastro J P, Gordon D F, Jones T G, Helle M H 2015 Opt. Lett. 40 1556
[12] Zhou Y L, Sui Z, D I Y C, Xu L X, Ming H 2014 Chin. Opt. Lett. 12 92
[13] Rawat P, Gauniyal R, Purohit G 2014 Phys. Plasmas 21 011101
[14] Brunel F 1988 Phys. Fluids 31 2714
[15] Estabrook K G, Valeo E J, Kruer W L 1975 Phys. Fluids 18 1151
[16] Goodman J W (translated by Cao Q Z, Chen J B) 2007 Speckle Phenomena in Optics:Theory and Applications (Beijing:Science Press) p1 (in Chinese)[约瑟夫古德曼 著(曹其智, 陈家璧 译) 2007 光学中的散斑现象理论与应用(北京:科学出版社)第1页]
[17] L B D 1991 Laser Optics (Chengdu:Sichuan University Press) p16 (in Chinese)[吕百达 1991 激光光学(成都:四川大学出版社) 第16页]
[18] Goodman J W (translated by Cao Q Z, Chen J B) 2007 Speckle Phenomena in Optics:Theory and Application (Beijing:Science Press) p71 (in Chinese)[约瑟夫古德曼 著 (曹其智, 陈家璧 译) 2007 光学中的散斑现象理论与应用(北京:科学出版社)第71页]
[19] Tikhonchuk V T, Mounaix P, Pesme D 1997 Phys. Plasmas 4 2658
[20] Glenzer S H, Arnold P, Bardsley G, Berger R L, Bonanno G, Borger T, Bower D E, Bowers M, Bryant R, Buckman S, Burkhart S C, Campbell K, Chrisp M P, Cohen B I, Constantin C 2004 Inertial Fusion Sciences and Applications 2003 207
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[1] Myatt J F, Zhang J, Short R W, Maximov A V, Seka W, Froula D H, Edgell D H, Michel D T, Igumenshchev I V, Hinkel D E, Michel P, Moody J D 2014 Phys. Plasmas 21 055501
[2] Leeper R J 2011 Plasma and Fusion Research 6 1104012
[3] Kurilenkov Y K, Tarakanov V P, Kov S U G 2010 Plasma Phys. Rep. 36 1227
[4] Chang T Q 1991 Laser-plasma Interaction and the Laser Fusion (Changsha:Hunan Science Press) p2 (in Chinese)[常铁强 1991 激光等离子体相互作用与激光聚变(长沙:湖南科学技术出版) 第2页]
[5] Mei Q Y, Zhao X W, Li W H, Jiang X H, Xie P, Zheng Z J, Tang D Y 1994 High Power Laser and Particle Beams 54 186 (in Chinese)[梅启庸, 赵雪薇, 李文洪, 蒋小华, 谢平, 郑志坚, 唐道源 1994 强激光与粒子束 54 186]
[6] Montgomery D S 2016 Phys. Plasmas 23 055601
[7] Livesscu D, Wei T, Mark R P 2011 J. Phys. 318 082007
[8] Dubinov A E, Petrik A G, Kurkin S A, Frolov N S, Koronovskii A A 2016 Phys. Plasmas 23 042105
[9] Xiang J, Zheng C Y, Liu Z J 2010 Acta Phys. Sin. 59 8717 (in Chinese)[项江, 郑春阳, 刘占军 2010 物理学报 59 8717]
[10] Zhang L, Dong Q L, Zhang J, Wang S J, Sheng Z M, He M Q, Zhang J 2009 Acta Phys. Sin. 58 1833 (in Chinese)[张蕾, 董全力, 赵静, 王首钧, 盛政明, 何民卿, 张杰 2009 物理学报 58 1833]
[11] Hafizi B, Palastro J P, Gordon D F, Jones T G, Helle M H 2015 Opt. Lett. 40 1556
[12] Zhou Y L, Sui Z, D I Y C, Xu L X, Ming H 2014 Chin. Opt. Lett. 12 92
[13] Rawat P, Gauniyal R, Purohit G 2014 Phys. Plasmas 21 011101
[14] Brunel F 1988 Phys. Fluids 31 2714
[15] Estabrook K G, Valeo E J, Kruer W L 1975 Phys. Fluids 18 1151
[16] Goodman J W (translated by Cao Q Z, Chen J B) 2007 Speckle Phenomena in Optics:Theory and Applications (Beijing:Science Press) p1 (in Chinese)[约瑟夫古德曼 著(曹其智, 陈家璧 译) 2007 光学中的散斑现象理论与应用(北京:科学出版社)第1页]
[17] L B D 1991 Laser Optics (Chengdu:Sichuan University Press) p16 (in Chinese)[吕百达 1991 激光光学(成都:四川大学出版社) 第16页]
[18] Goodman J W (translated by Cao Q Z, Chen J B) 2007 Speckle Phenomena in Optics:Theory and Application (Beijing:Science Press) p71 (in Chinese)[约瑟夫古德曼 著 (曹其智, 陈家璧 译) 2007 光学中的散斑现象理论与应用(北京:科学出版社)第71页]
[19] Tikhonchuk V T, Mounaix P, Pesme D 1997 Phys. Plasmas 4 2658
[20] Glenzer S H, Arnold P, Bardsley G, Berger R L, Bonanno G, Borger T, Bower D E, Bowers M, Bryant R, Buckman S, Burkhart S C, Campbell K, Chrisp M P, Cohen B I, Constantin C 2004 Inertial Fusion Sciences and Applications 2003 207
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