惯性约束聚变装置中靶面光场特性的统计表征方法
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摘要
在激光驱动的惯性约束聚变装置中,常采用多种束匀滑手段对焦斑的时空特性进行调控.光传输链路中涉及的光学元件众多、传输变换复杂,往往导致光传输模型复杂,且在运用衍射光学方法分析焦斑形态和特征时面临大量的数据处理和计算,致使出现计算量大、计算效率低等问题,亟需寻求快速而简便的新方法来描述焦斑的统计特征.本文利用光场特性的统计表征方法对靶面光场进行表征,采用圆型复数高斯随机变量直接描述靶面光场的统计特征,并基于典型焦斑评价参数对衍射光学方法和统计表征方法得到的远场焦斑进行了对比和分析.结果表明,采用衍射光学方法和统计表征方法获得的焦斑的瞬时特征基本一致,其时间积分的远场焦斑有所不同,但仍可进一步采用相关系数来表征其远场焦斑的时间变化特征.
In the laser-driven inertial confinement fusion facilities, the irradiation uniformity of the laser beams on the target is a key factor affecting the effective compression of the target. At present, a variety of beam-smoothing techniques have been developed to control the spatiotemporal characteristics of the focal spots. However, many optical components involved in optical transmission links and complex transmission transformations often lead to complex optical transmission. Moreover, when using the diffraction optical method to analyze the shape and characteristics of the focal spots, a lot of data are needed to be processed and calculated, resulting in large calculation and low computational efficiency. It is urgent to find a new and fast method to describe the statistical properties of the focal spots. In addition, in the beam-smoothing technique, since the phase distribution of the continuous phase plate is obtained by multiple iterations of random numbers, although the details of focal spots obtained by different continuous phase plates are not the same, they all have similar statistical properties. Therefore, the modulation of the laser beam by the continuous phase plate can be regarded as the transmission process of the laser beam through a random surface. Although the intensities of the speckle within the focal spot at different locations have the strong randomness, and the random distributions of the target speckles obtained by different beam-smoothing methods are different, the overall distribution satisfies a certain statistical law. In this paper, the light-field properties of the focal spot are described by the statistical characterization method. The circular complex Gaussian random variables are used to directly describe the statistical properties of the target surface light field, and the far-field focal spots obtained by the diffractive optical method and those by the statistical characterization method are compared with each other and analyzed based on the typical focal spot evaluation parameters. The results show that the instantaneous properties of the focal spots obtained by the diffractive optical method and those obtained by the statistical characterization method are basically identical, but their time-integrated far-field focal spots are different. The correlation coefficient can be further used to describe the time-varying properties of the far-field focal spots. Compared with the diffractive optical method, in the numerical calculation process, the statistical characterization method of light field properties can directly obtain the analytical expression of the statistical distribution of the light field according to the statistical properties of the continuous phase plate surface shape.Secondly, this method can avoid the numerical calculation process from near field to far field. Last but not least, there is no need to perform data processing on each point of the light field, which makes things simple and effective and does not require large-scale data storage and processing.
In the laser-driven inertial confinement fusion facilities, the irradiation uniformity of the laser beams on the target is a key factor affecting the effective compression of the target. At present, a variety of beam-smoothing techniques have been developed to control the spatiotemporal characteristics of the focal spots. However, many optical components involved in optical transmission links and complex transmission transformations often lead to complex optical transmission. Moreover, when using the diffraction optical method to analyze the shape and characteristics of the focal spots, a lot of data are needed to be processed and calculated, resulting in large calculation and low computational efficiency. It is urgent to find a new and fast method to describe the statistical properties of the focal spots. In addition, in the beam-smoothing technique, since the phase distribution of the continuous phase plate is obtained by multiple iterations of random numbers, although the details of focal spots obtained by different continuous phase plates are not the same, they all have similar statistical properties. Therefore, the modulation of the laser beam by the continuous phase plate can be regarded as the transmission process of the laser beam through a random surface. Although the intensities of the speckle within the focal spot at different locations have the strong randomness, and the random distributions of the target speckles obtained by different beam-smoothing methods are different, the overall distribution satisfies a certain statistical law. In this paper, the light-field properties of the focal spot are described by the statistical characterization method. The circular complex Gaussian random variables are used to directly describe the statistical properties of the target surface light field, and the far-field focal spots obtained by the diffractive optical method and those by the statistical characterization method are compared with each other and analyzed based on the typical focal spot evaluation parameters. The results show that the instantaneous properties of the focal spots obtained by the diffractive optical method and those obtained by the statistical characterization method are basically identical, but their time-integrated far-field focal spots are different. The correlation coefficient can be further used to describe the time-varying properties of the far-field focal spots. Compared with the diffractive optical method, in the numerical calculation process, the statistical characterization method of light field properties can directly obtain the analytical expression of the statistical distribution of the light field according to the statistical properties of the continuous phase plate surface shape.Secondly, this method can avoid the numerical calculation process from near field to far field. Last but not least, there is no need to perform data processing on each point of the light field, which makes things simple and effective and does not require large-scale data storage and processing.
引文
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[3] Yang C L, Yan H, Wang J, Zhang R Z 2013 Opt. Express 2111171
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[7] Garnier J, Videau L 2001 Phys. Plasmas 8 4914
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[9] Le Cain A, Riazuelo G, Sajer J M 2012 Phys. Plasmas 19102704
[10] Lin Z X, Zhang R Z, Yang C L, Xu Q 2010 High Power Laser and Partical Beams 22 2634(in Chinese)[林中校,张蓉竹,杨春林,许乔2010强激光与粒子束22 2634]
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[12] Kline J L, Glenzer S H, Olson R E, Suter L J, Widmann K,Callahan D A, Dixit S N, Thomas C A, Hinkel D E, Williams E A, Moore A S, Celeste J, Dewald, E, Hsing W W, Warrick A, Atherton J, Azevedo S, Beeler R, Berger R, Conder A,Divol L, Haynam C A, Kalantar D H, Kauffman R, Kyrala G A, Kilkenny J, Liebman J, Le Pape S, Larson D, Meezan N B, Michel P, Moody J, Rosen M D, Schneider M B, Van Wonterghem B, Wallace R J, Young B K, Landen O L,MacGowan B J 2011 Phys. Rev. Lett. 106 085003
[13] Zhang R 2013 Ph. D. Dissertation(Hefei:University of Science and Technology of China)(in Chinese)[张锐2013博士学位论文(合肥:中国科学技术大学)]
[14] Skupsky S, Short R W, Kessler T, Craxton R S, Letzring S,Soures J M 1989 J. Appl. Phys. 66 3456
[15] Zhong Z Q, Hou P C, Zhang B 2016 Acta Phys. Sin. 65094207(in Chinese)[钟哲强,侯鹏程,张彬2016物理学报65094207]
[16] Zhong Z Q, Hou P C, Zhang B 2015 Opt. Lett. 40 5850
[17] Haynam C A, Wegner P J, Auerbach J M, et al. 2007 Appl.Opt. 46 3276
[18] Rothenberg J E 1997 J. Opt. Soc. Am. B:Opt. Phys. 14 1664
[19] Li J C 2008 Chinese Journal of Computational Physics 25 330(in Chinese)[李俊昌2008计算物理25 330]
[20] L(u|¨)C, Zhang R Z 2014 Acta Phys. Sin. 63 164203(in Chinese)[吕晨,张蓉竹2014物理学报63 164203]
[21] Wen S L, Tang C X, Zhang Y H, Yan H, Hou J, Luo Z J2015 Chinese Journal of Lasers 42 0908001(in Chinese)[温圣林,唐才学,张远航,颜浩,侯晶,罗子健2015中国激光420908001]
[22] Feng Y J, Lin Z X, Zhang R Z 2011 Acta Phys. Sin. 60104202(in Chinese)[冯友君,林中校,张蓉竹2011物理学报60 104202]
[23] Yang C L 2018 Acta Phys. Sin.67 085201(in Chinese)[杨春林2018物理学报67 085201]
[24] Joseph W G 2009 Speckle Phenomena in Optics(Beijing:Science Press)pp62-71
[25] Li T F, Hou P C, Zhang B 2016 Acta Opt. Sin. 36 1114002(in Chinese)[李腾飞,侯鹏程,张彬2016光学学报361114002]
[2] Regan S P, Marozas J A, Kelly J H, Boehly T R, Donaldson W R, Jaanimagi P A, Keck R L, Kessler T J, Meyerhofer D D, Seka W, Skupsky S, Smalyuk V A 2000 J. Opt. Soc. Am.B17 1483
[3] Yang C L, Yan H, Wang J, Zhang R Z 2013 Opt. Express 2111171
[4] Lin Y, Kessler T J, Lawrence G N 1996 Opt. Lett. 21 1703
[5] Li P, Wang W, Zhao R C, Geng Y C, Jia H T, Su J Q 2014Acta Phys.Sin. 63 215202(in Chinese)[李平,王伟,赵润昌,耿远超,贾怀庭,粟敬钦2014物理学报63 215202]
[6] Garnier J, Videau L, Gouedard C, Migus A 1997 J. Opt. Soc.Am. A 14 1928
[7] Garnier J, Videau L 2001 Phys. Plasmas 8 4914
[8] Le Cain A, Riazuelo G, Sajer J M 2011 Phys. Plasmas 18082711
[9] Le Cain A, Riazuelo G, Sajer J M 2012 Phys. Plasmas 19102704
[10] Lin Z X, Zhang R Z, Yang C L, Xu Q 2010 High Power Laser and Partical Beams 22 2634(in Chinese)[林中校,张蓉竹,杨春林,许乔2010强激光与粒子束22 2634]
[11] Marozas J A 2007 J.Opt. Sec. Am. A 24 74
[12] Kline J L, Glenzer S H, Olson R E, Suter L J, Widmann K,Callahan D A, Dixit S N, Thomas C A, Hinkel D E, Williams E A, Moore A S, Celeste J, Dewald, E, Hsing W W, Warrick A, Atherton J, Azevedo S, Beeler R, Berger R, Conder A,Divol L, Haynam C A, Kalantar D H, Kauffman R, Kyrala G A, Kilkenny J, Liebman J, Le Pape S, Larson D, Meezan N B, Michel P, Moody J, Rosen M D, Schneider M B, Van Wonterghem B, Wallace R J, Young B K, Landen O L,MacGowan B J 2011 Phys. Rev. Lett. 106 085003
[13] Zhang R 2013 Ph. D. Dissertation(Hefei:University of Science and Technology of China)(in Chinese)[张锐2013博士学位论文(合肥:中国科学技术大学)]
[14] Skupsky S, Short R W, Kessler T, Craxton R S, Letzring S,Soures J M 1989 J. Appl. Phys. 66 3456
[15] Zhong Z Q, Hou P C, Zhang B 2016 Acta Phys. Sin. 65094207(in Chinese)[钟哲强,侯鹏程,张彬2016物理学报65094207]
[16] Zhong Z Q, Hou P C, Zhang B 2015 Opt. Lett. 40 5850
[17] Haynam C A, Wegner P J, Auerbach J M, et al. 2007 Appl.Opt. 46 3276
[18] Rothenberg J E 1997 J. Opt. Soc. Am. B:Opt. Phys. 14 1664
[19] Li J C 2008 Chinese Journal of Computational Physics 25 330(in Chinese)[李俊昌2008计算物理25 330]
[20] L(u|¨)C, Zhang R Z 2014 Acta Phys. Sin. 63 164203(in Chinese)[吕晨,张蓉竹2014物理学报63 164203]
[21] Wen S L, Tang C X, Zhang Y H, Yan H, Hou J, Luo Z J2015 Chinese Journal of Lasers 42 0908001(in Chinese)[温圣林,唐才学,张远航,颜浩,侯晶,罗子健2015中国激光420908001]
[22] Feng Y J, Lin Z X, Zhang R Z 2011 Acta Phys. Sin. 60104202(in Chinese)[冯友君,林中校,张蓉竹2011物理学报60 104202]
[23] Yang C L 2018 Acta Phys. Sin.67 085201(in Chinese)[杨春林2018物理学报67 085201]
[24] Joseph W G 2009 Speckle Phenomena in Optics(Beijing:Science Press)pp62-71
[25] Li T F, Hou P C, Zhang B 2016 Acta Opt. Sin. 36 1114002(in Chinese)[李腾飞,侯鹏程,张彬2016光学学报361114002]