Z箍缩驱动动态黑腔中的基本能量转移特征

宁成; 丰志兴; 薛创

doi:10.7498/aps.63.125208

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摘要

动态黑腔是Z箍缩应用的重要途径，它可以为惯性约束聚变靶丸烧蚀内爆提供均匀对称的辐射场，也可以为辐射不透明度测量的样品提供加热源和背光源. 动态黑腔中的辐射场特征与驱动电流、黑腔结构和材料组成等密切相关，在宏观上它由黑腔中能量转移决定. 为了快速地获得动态黑腔中基本能量的转移特征，以及它们随黑腔结构、线质量、驱动电流参数等的变化趋势，本文采用简单的物理模型来描述动态黑腔的内爆行为. 就泡沫柱内爆动能与一维辐射磁流体力学程序的模拟结果进行了比较，两者比较接近. 在惯性约束聚变应用的动态黑腔中，丝阵等离子体与泡沫柱碰撞时的动能损失对辐射场的形成很重要；而在辐射源应用的动态黑腔中，动能损失和泡沫柱最后内爆达到的动能都重要. 泡沫柱最后获得的最大内爆动能与驱动电流的幅值平方成正比，碰撞动能损失随泡沫柱质量的增加而增大. 电流上升时间变小，则泡沫柱中的质量能量密度要增大，从而辐射功率也要增大.

关键词:

作者及机构信息

1.
北京应用物理与计算数学研究所, 北京 100088;

2.
中国工程物理研究院北京研究生部, 北京 100088

基金项目: 国家自然科学基金重点项目（批准号：11135007）资助的课题.

参考文献

[1]	Spielman R B, Deeney C, Chandler G A, et al. 1998 Phys. Plasmas 5 2105
[2]	Lebedev S V, Aliaga-Rossel R, Chittenden J P, Mitchell I H, Dangor A E, Haines M G, Worley J F 1998 Phys. Plasmas 5 3366
[3]	Lebedev S V, Beg F N, Bland S N, Chittenden J P, Dangor A E, Haines M G, Kwek K H, Pikuz S A, Shelkovenkob T A 2001 Phys. Plasmas 8 3734
[4]	Stygar W A, Ives H C, Fehl D L, et al. 2004 Phys. Rev. E 69 046403
[5]	Cuneo M E, Waisman E M, Lebedev S V, et al. 2005 Phys. Rev. E 71 046406
[6]	Chittenden J P, Lebedev S V, Bland S N, Ruiz-Camacho J, Beg F N, Haines M G 2001 Laser and Particle Beams 19 323
[7]	Ning C, Ding N, Yang Z H 2007 Acta Phys. Sin. 56 338 (in Chinese) [宁成, 丁宁, 杨震华 2007 物理学报 56 338]
[8]	Qiu A C, Kuai B, Wang L P, Wu G, Cong P T 2008 High Power Laser and Particle Beams 20 1761 (in Chinese) [邱爱慈, 蒯斌, 王亮平, 吴刚, 丛培天 2008 强激光与粒子束 20 1761]
[9]	Nash T J, Derzon M S, Chandler G A, et al. 1999 Phys. Plasmas 6 2023
[10]	Slutz S A, Douglas M R, Lash J S, Vesey R A, Chandler G A, Nash T J, Derzon M S 2001 Phys. Plasmas 8 1673
[11]	Bailey J E, Chandler G A, Slutz S A, et al. 2004 Phys. Rev. Lett. 92 085002
[12]	Slutz S A, Peterson K J, Vesey R A, Lemke R W, Bailey J E, Varnum W, Ruiz C L, Cooper G W, Chandler G A, Rochau G A, Mehlhorn T A 2006 Phys. Plasmas 13 102701
[13]	Jiang S Q, Ning J M, Chen F X, Ye F, Xue F B, Li L B, Yang J L, Chen J C, Zhou L, Qin Y, Li Z H, Xu R K, Xu Z P 2013 Acta Phys. Sin. 62 155203 (in Chinese) [蒋树庆, 甯家敏, 陈法新, 叶繁, 薛飞彪, 李林波, 杨建伦, 陈进川, 周林, 秦义, 李正宏, 徐荣昆, 许泽平 2013 物理学报 62 155203]
[14]	Stygar W A, Cuneo M E, Headley D I, Ives H C, Leeper R J, Mazarakis M G, Olson C L, Porter J L, Wagoner T C, Woodworth J R 2007 Phys. Rev. Special Topics-Accelerators and Beams 10 030401
[15]	Zou W K, Wang M, Chen L, Zhou L J, Guo F, Xie W P, Deng J J 2013 High Power Laser and Particle Beams 25 2487 (in Chinese) [邹文康, 王勐, 陈林, 周良骥, 郭帆, 谢卫平, 邓建军 2013 强激光与粒子束 25 2487]
[16]	Lindl J D 1995 Phys. Plasmas 2 3933
[17]	Leeper R J, Alberts T E, Asay J R, et al. 1999 Nucl. Fusion 39 1283
[18]	Bailey J E, Rochau G A, Iglesias C A, Abdallah Jr J, MacFarlane J J, Golovkin I, Wang P, Mancini R C, Lake P W, Moore T C, Bump M, Garcia O, Mazevet S 2007 Phys. Rev. Lett. 99 265002
[19]	Ning C, Yang Z H, Ding N 2003 High Power Laser and Particle Beams 15 1200 (in Chinese) [宁成, 杨震华, 丁宁 2003 强激光与粒子束 15 1200]
[20]	Ning C 2001 Nuclear Fusion and Plasma Phys. 21 43 (in Chinese) [宁成 2001 核聚变与等离子体物理 21 43]

施引文献

[1]	Spielman R B, Deeney C, Chandler G A, et al. 1998 Phys. Plasmas 5 2105
[2]	Lebedev S V, Aliaga-Rossel R, Chittenden J P, Mitchell I H, Dangor A E, Haines M G, Worley J F 1998 Phys. Plasmas 5 3366
[3]	Lebedev S V, Beg F N, Bland S N, Chittenden J P, Dangor A E, Haines M G, Kwek K H, Pikuz S A, Shelkovenkob T A 2001 Phys. Plasmas 8 3734
[4]	Stygar W A, Ives H C, Fehl D L, et al. 2004 Phys. Rev. E 69 046403
[5]	Cuneo M E, Waisman E M, Lebedev S V, et al. 2005 Phys. Rev. E 71 046406
[6]	Chittenden J P, Lebedev S V, Bland S N, Ruiz-Camacho J, Beg F N, Haines M G 2001 Laser and Particle Beams 19 323
[7]	Ning C, Ding N, Yang Z H 2007 Acta Phys. Sin. 56 338 (in Chinese) [宁成, 丁宁, 杨震华 2007 物理学报 56 338]
[8]	Qiu A C, Kuai B, Wang L P, Wu G, Cong P T 2008 High Power Laser and Particle Beams 20 1761 (in Chinese) [邱爱慈, 蒯斌, 王亮平, 吴刚, 丛培天 2008 强激光与粒子束 20 1761]
[9]	Nash T J, Derzon M S, Chandler G A, et al. 1999 Phys. Plasmas 6 2023
[10]	Slutz S A, Douglas M R, Lash J S, Vesey R A, Chandler G A, Nash T J, Derzon M S 2001 Phys. Plasmas 8 1673
[11]	Bailey J E, Chandler G A, Slutz S A, et al. 2004 Phys. Rev. Lett. 92 085002
[12]	Slutz S A, Peterson K J, Vesey R A, Lemke R W, Bailey J E, Varnum W, Ruiz C L, Cooper G W, Chandler G A, Rochau G A, Mehlhorn T A 2006 Phys. Plasmas 13 102701
[13]	Jiang S Q, Ning J M, Chen F X, Ye F, Xue F B, Li L B, Yang J L, Chen J C, Zhou L, Qin Y, Li Z H, Xu R K, Xu Z P 2013 Acta Phys. Sin. 62 155203 (in Chinese) [蒋树庆, 甯家敏, 陈法新, 叶繁, 薛飞彪, 李林波, 杨建伦, 陈进川, 周林, 秦义, 李正宏, 徐荣昆, 许泽平 2013 物理学报 62 155203]
[14]	Stygar W A, Cuneo M E, Headley D I, Ives H C, Leeper R J, Mazarakis M G, Olson C L, Porter J L, Wagoner T C, Woodworth J R 2007 Phys. Rev. Special Topics-Accelerators and Beams 10 030401
[15]	Zou W K, Wang M, Chen L, Zhou L J, Guo F, Xie W P, Deng J J 2013 High Power Laser and Particle Beams 25 2487 (in Chinese) [邹文康, 王勐, 陈林, 周良骥, 郭帆, 谢卫平, 邓建军 2013 强激光与粒子束 25 2487]
[16]	Lindl J D 1995 Phys. Plasmas 2 3933
[17]	Leeper R J, Alberts T E, Asay J R, et al. 1999 Nucl. Fusion 39 1283
[18]	Bailey J E, Rochau G A, Iglesias C A, Abdallah Jr J, MacFarlane J J, Golovkin I, Wang P, Mancini R C, Lake P W, Moore T C, Bump M, Garcia O, Mazevet S 2007 Phys. Rev. Lett. 99 265002
[19]	Ning C, Yang Z H, Ding N 2003 High Power Laser and Particle Beams 15 1200 (in Chinese) [宁成, 杨震华, 丁宁 2003 强激光与粒子束 15 1200]
[20]	Ning C 2001 Nuclear Fusion and Plasma Phys. 21 43 (in Chinese) [宁成 2001 核聚变与等离子体物理 21 43]

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Z箍缩驱动动态黑腔中的基本能量转移特征

1. 北京应用物理与计算数学研究所, 北京 100088;

2. 中国工程物理研究院北京研究生部, 北京 100088

基金项目:

国家自然科学基金重点项目（批准号：11135007）资助的课题.

收稿日期: 2014-01-09

修回日期: 2014-02-13

刊出日期: 2014-06-05

摘要: 动态黑腔是Z箍缩应用的重要途径，它可以为惯性约束聚变靶丸烧蚀内爆提供均匀对称的辐射场，也可以为辐射不透明度测量的样品提供加热源和背光源. 动态黑腔中的辐射场特征与驱动电流、黑腔结构和材料组成等密切相关，在宏观上它由黑腔中能量转移决定. 为了快速地获得动态黑腔中基本能量的转移特征，以及它们随黑腔结构、线质量、驱动电流参数等的变化趋势，本文采用简单的物理模型来描述动态黑腔的内爆行为. 就泡沫柱内爆动能与一维辐射磁流体力学程序的模拟结果进行了比较，两者比较接近. 在惯性约束聚变应用的动态黑腔中，丝阵等离子体与泡沫柱碰撞时的动能损失对辐射场的形成很重要；而在辐射源应用的动态黑腔中，动能损失和泡沫柱最后内爆达到的动能都重要. 泡沫柱最后获得的最大内爆动能与驱动电流的幅值平方成正比，碰撞动能损失随泡沫柱质量的增加而增大. 电流上升时间变小，则泡沫柱中的质量能量密度要增大，从而辐射功率也要增大.

关键词:

Basic characteristics of kinetic energy transfer in the dynamic hohlraums of Z-pinch

1.
Beijing Institute of Applied Physics and Computational Mathematics, Beijing 100088, China;

2.
Beijing Graduate School of China Academy of Engineering Physics, Beijing 100088, China

Fund Project:

Project supported by the Key Program of the National Natural Science Foundation of China (Grant No. 11135007).

Received Date: 09 January 2014

Accepted Date: 13 February 2014

Published Online: 05 June 2014

Abstract: The applications of Z-pinch are realized through dynamic hohlraum driven by Z-pinch, in which a uniform and symmetrical radiation field may be produced for ablating implosion of the inertial confinement fusion (ICF) capsule, and the radiation sources may also be created for heating and backlighting the samples in opacity measurement experiments. The radiation field is essentially related to driven current, hohlraum configuration and material. In physics it is determined by energy transfer in the hohlraum. For rapidly obtaining the knowledge about the primary energy transfer chracteristics in the hohlraum, and its trends of variation in the configuration, linear mass of the load, and the driven current, the simplified model is used to simulate the dynamic hohlraum implosion. The obtained implosion kinetic energy of the cylindrical foam accords well with the kinetic energy obtained from a one-dimensional magneto radiation hydrodynamics simulation of Z-pinch-driven dynamic hohlraum. In the dynamic hohlraum for ICF the kinetic energy loss is important for the radiation field formation when the imploding wire-array plasma collides with the cylindrical foam, while ones for radiation source the kinetic energy loss and for the final implosion kinetic energy of the foam are both important. The maximum implosion kinetic energy of cylindrical foam is directly proportional to the square of the peak current, while the kinetic energy loss increases with the mass of cylindrical foam increasing. The mass energy density in the foam tends to increase, and in turn the radiation power is enhanced when the rise time of the current turns longer.

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