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Application of a collisinal-radiative model for the analysis of K-shell line spectra emitted by Z-pinch plasma

Pu Yi-Kang Xie Wei-Ping Huang Xian-Bin Yang Li-Bing Cai Hong-Chun Li Jing

Application of a collisinal-radiative model for the analysis of K-shell line spectra emitted by Z-pinch plasma

Pu Yi-Kang, Xie Wei-Ping, Huang Xian-Bin, Yang Li-Bing, Cai Hong-Chun, Li Jing
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  • In this paper, the principle of the collisional-radiative model for the estimation of plasma parameters from the ratios of K-shell spectral lines was introduced. The structure of a computer program, ZSPEC, developed for the analysis of K-shell line spectra emitted by Z-pinch plasma based on the collisioanl-radiative model was described in detail. The calculation for neon plasma were presented, including the number fractions of major ionization stages at different electron temperature and the contours of K-shell line ratios in the plane defined by electron density and electron temperature. ZSPEC had been used to analyze the measured results of neon gas-puff Z-pinch experiment performed on Yang accelerator. By comparing the K-shell line ratios of neon plasma obtained by an elliptical crystal spectrometer with the results calculated by ZSPEC, the time and space averaged electron temperature and electron density of the K-shell plasma for the shot with 540 kA peaking current were determined to be 240 eV and 1.0×1019 cm-3, respectively.
    • Funds:
    [1]

    Sanford T W L,Allshouse G O,Marder B M,Nash T J,Mock R C,Spielman R B,Seamen J F,McGurn J S,Jobe D,Gilliland T L,Vargas M,Struve K W,Stygar W A,Douglas M R,Matzen M K 1996 Phys.Rev.Lett.77 5063

    [2]

    Chandler G A,Deeney C,Cuneo M,Fehl D L,McGurn J S,Spielman R B,Torres J A,McKenney J L,Mills J,Struve K W 1999 Rev. Sci. Instrum.70 561

    [3]

    Coverdale C A,Deeney C,Jones B,Thornhill J W,Whitney K G,Velikovich A L,Clark R W,Chong Y K,Apruzese J P,Davis J,LePell P D 2007 IEEE Trans. Plasma Sci.35 582

    [4]

    Apruzese J P,Whitney K G,Davis J,Kepple P C 1997 J. Quant. Spectrosc. Radiat. Transfer.57 41

    [5]

    Bailey J E,Chandler G A,Cohen D,Cuneo M E,Foord M E,Heeter R F,Jobe D,Lake P W,MacFarlane J J,Nash T J,Nielson D S,Smelser R,Torres J 2002 Phys. Plasma.9 2186

    [6]

    Bailey J E,Chandler G A,Slutz S A,Golovkin I,Lake P W,MacFarlane J J,Mancini R C,Burris-Mog T J,Cooper G,Leeper R J,Mehlhorm T A,Moore T C,Nash T J,Nielsen D S,Ruiz C L,Schroen D G,Varnum W A 2004 Phys.Rev.Lett.92 085002

    [7]

    Deng J J, Xie W P, Feng S P, Li H T, Song S Y, Wang M, Gu Y C, Xia M H, Guan Y C, Cao W B, Tian Q 2007 IEEE Conference Record-Abstract p671 (IEEE Pulsed Power and Plasma Conference, 2007 June 17—22, Albuquerque, USA)

    [8]

    Ning C,Yang Z H,Ding N 2003 Acta Phys. Sin. 52 1650 (in Chinese)[宁 成、杨震华、丁 宁 2003 物理学报 52 1650]

    [9]

    Duan Y Y, Guo Y H, Wang W S, Qiu A C 2004 Acta Phys. Sin. 53 2655(in Chinese)[段耀勇、郭永辉、王文生、邱爱慈 2004 物理学报 53 2655] 〖10] Davis J,Clark R,Blaha M,Giuliani J R 2001 Laser Part. Beams.19 557

    [10]

    Hutchinson I H 2002 Principles of Plasma Diagnostics (Cambridge University Press, 2nd Edition) p217

    [11]

    Griem H R 1964 Plasma Spectroscopy (McGraw-Hill Book, Inc.) p129,p267

    [12]

    Jones B,Deeney C,Coverdale C A,LePell P D,McKenney J L,Apruzese J P,Thornhill J W,Whitney K G,Clark R W,Velikovich A L,Davis J,Maron Y,Kantsyrev V,Safronova A,Oreshkin V I 2006 J. Quant. Spectrosc. Radiat. Transfer.99 341

    [13]

    Bar-Shalom A,Klapisch M,Oreg J 2001 J. Quant. Spectrosc. Radiat. Transfer.71 169

    [14]

    Gu M F 2003 ApJ.582 1241

    [15]

    Thornhill J W,Apruzese J P,Davis J,Clark R W,Velikovich A L,Giuliani Jr J L,Chong Y K,Whitney K G,Deeney C,Coverdale C A,Cochran F L 2001 Phys. Plasma.7 3480

    [16]

    Li J,Huang X B,Yang L B,Gu Y C,Xie W P,Zhang S Q,Cai H C,Xiao S L,Shi J,Pu Y K 2008 Proceedings of the 17th International Conference on High-Power Particle Beams (July 6—11, 2008, Xi'An China) p494

    [17]

    Oxenius J 1986 Kinetic Theory of Particles and Photons (Springer-Verlag, Berlin) p21

    [18]

    Chung H K,Morgan W L,Lee R W 2003 J. Quant. Spectrosc. Radiat. Transfer.81 107

    [19]

    Shi J,Xiao S L,Wang H J,Huang X B,Yang L B,Liu S Y 2008 Chin. Opt. Lett. 6 622

    [20]

    Ning Jiamin, Jiang Shilun, Xu Rongkun 2006 High Power Laser and Particle BeamsAtomic Energy Science and Technology 40 96(in Chinese)[蒋世伦、宁加敏、徐荣昆 2006 原子能科学与技术40 96]

    [21]

    Zhao Y,Yang J M,Zhang J Y,Yi R Q,Zhang W H,Liu J S,Yuan X,Cui M Q,Gan S X 2008 High Power Laser and Particle Beams 20 419(in Chinese)[赵 阳、杨家敏、张继彦、易荣清、张文海、刘劲松、袁 孝、崔明启、甘式新 2008 强激光与粒子束 20 419]

    [22]

    Henke B L,Yamada H T and Tanaka T J 1983 Rev. Sci. Instrum.54 1311

    [23]

    Ren X D,Huang X B,Zhou S T,Zhang S Q,Li J,Yang L B,Li P 2009 Acta Phys. Sin. 58 7067(in Chinese)[任晓东、黄显宾、周少彤、张思群、李 晶、杨礼兵、李 平 2009 物理学报 58 7067]

    [24]

    Apruzese J P, Davis J, Whitney K G, Yadlowsky E J, Carlson E P, Niemel J, Barakat F, Hazelton R C, Klepper C C, Moschella J J, Failor B H, Levine J S, Riordan J C, Song Y, Whitton B L 2000 Phys. Plasma.8 3399

    [25]

    Cuneo M E, Waisman E M, Levdev S V, Chittenden J P, Stygar W A, Chandler G A, Vesey R A 2005 Phys. Rev. E 71 046406

  • [1]

    Sanford T W L,Allshouse G O,Marder B M,Nash T J,Mock R C,Spielman R B,Seamen J F,McGurn J S,Jobe D,Gilliland T L,Vargas M,Struve K W,Stygar W A,Douglas M R,Matzen M K 1996 Phys.Rev.Lett.77 5063

    [2]

    Chandler G A,Deeney C,Cuneo M,Fehl D L,McGurn J S,Spielman R B,Torres J A,McKenney J L,Mills J,Struve K W 1999 Rev. Sci. Instrum.70 561

    [3]

    Coverdale C A,Deeney C,Jones B,Thornhill J W,Whitney K G,Velikovich A L,Clark R W,Chong Y K,Apruzese J P,Davis J,LePell P D 2007 IEEE Trans. Plasma Sci.35 582

    [4]

    Apruzese J P,Whitney K G,Davis J,Kepple P C 1997 J. Quant. Spectrosc. Radiat. Transfer.57 41

    [5]

    Bailey J E,Chandler G A,Cohen D,Cuneo M E,Foord M E,Heeter R F,Jobe D,Lake P W,MacFarlane J J,Nash T J,Nielson D S,Smelser R,Torres J 2002 Phys. Plasma.9 2186

    [6]

    Bailey J E,Chandler G A,Slutz S A,Golovkin I,Lake P W,MacFarlane J J,Mancini R C,Burris-Mog T J,Cooper G,Leeper R J,Mehlhorm T A,Moore T C,Nash T J,Nielsen D S,Ruiz C L,Schroen D G,Varnum W A 2004 Phys.Rev.Lett.92 085002

    [7]

    Deng J J, Xie W P, Feng S P, Li H T, Song S Y, Wang M, Gu Y C, Xia M H, Guan Y C, Cao W B, Tian Q 2007 IEEE Conference Record-Abstract p671 (IEEE Pulsed Power and Plasma Conference, 2007 June 17—22, Albuquerque, USA)

    [8]

    Ning C,Yang Z H,Ding N 2003 Acta Phys. Sin. 52 1650 (in Chinese)[宁 成、杨震华、丁 宁 2003 物理学报 52 1650]

    [9]

    Duan Y Y, Guo Y H, Wang W S, Qiu A C 2004 Acta Phys. Sin. 53 2655(in Chinese)[段耀勇、郭永辉、王文生、邱爱慈 2004 物理学报 53 2655] 〖10] Davis J,Clark R,Blaha M,Giuliani J R 2001 Laser Part. Beams.19 557

    [10]

    Hutchinson I H 2002 Principles of Plasma Diagnostics (Cambridge University Press, 2nd Edition) p217

    [11]

    Griem H R 1964 Plasma Spectroscopy (McGraw-Hill Book, Inc.) p129,p267

    [12]

    Jones B,Deeney C,Coverdale C A,LePell P D,McKenney J L,Apruzese J P,Thornhill J W,Whitney K G,Clark R W,Velikovich A L,Davis J,Maron Y,Kantsyrev V,Safronova A,Oreshkin V I 2006 J. Quant. Spectrosc. Radiat. Transfer.99 341

    [13]

    Bar-Shalom A,Klapisch M,Oreg J 2001 J. Quant. Spectrosc. Radiat. Transfer.71 169

    [14]

    Gu M F 2003 ApJ.582 1241

    [15]

    Thornhill J W,Apruzese J P,Davis J,Clark R W,Velikovich A L,Giuliani Jr J L,Chong Y K,Whitney K G,Deeney C,Coverdale C A,Cochran F L 2001 Phys. Plasma.7 3480

    [16]

    Li J,Huang X B,Yang L B,Gu Y C,Xie W P,Zhang S Q,Cai H C,Xiao S L,Shi J,Pu Y K 2008 Proceedings of the 17th International Conference on High-Power Particle Beams (July 6—11, 2008, Xi'An China) p494

    [17]

    Oxenius J 1986 Kinetic Theory of Particles and Photons (Springer-Verlag, Berlin) p21

    [18]

    Chung H K,Morgan W L,Lee R W 2003 J. Quant. Spectrosc. Radiat. Transfer.81 107

    [19]

    Shi J,Xiao S L,Wang H J,Huang X B,Yang L B,Liu S Y 2008 Chin. Opt. Lett. 6 622

    [20]

    Ning Jiamin, Jiang Shilun, Xu Rongkun 2006 High Power Laser and Particle BeamsAtomic Energy Science and Technology 40 96(in Chinese)[蒋世伦、宁加敏、徐荣昆 2006 原子能科学与技术40 96]

    [21]

    Zhao Y,Yang J M,Zhang J Y,Yi R Q,Zhang W H,Liu J S,Yuan X,Cui M Q,Gan S X 2008 High Power Laser and Particle Beams 20 419(in Chinese)[赵 阳、杨家敏、张继彦、易荣清、张文海、刘劲松、袁 孝、崔明启、甘式新 2008 强激光与粒子束 20 419]

    [22]

    Henke B L,Yamada H T and Tanaka T J 1983 Rev. Sci. Instrum.54 1311

    [23]

    Ren X D,Huang X B,Zhou S T,Zhang S Q,Li J,Yang L B,Li P 2009 Acta Phys. Sin. 58 7067(in Chinese)[任晓东、黄显宾、周少彤、张思群、李 晶、杨礼兵、李 平 2009 物理学报 58 7067]

    [24]

    Apruzese J P, Davis J, Whitney K G, Yadlowsky E J, Carlson E P, Niemel J, Barakat F, Hazelton R C, Klepper C C, Moschella J J, Failor B H, Levine J S, Riordan J C, Song Y, Whitton B L 2000 Phys. Plasma.8 3399

    [25]

    Cuneo M E, Waisman E M, Levdev S V, Chittenden J P, Stygar W A, Chandler G A, Vesey R A 2005 Phys. Rev. E 71 046406

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  • Received Date:  29 January 2010
  • Accepted Date:  28 March 2010
  • Published Online:  15 November 2010

Application of a collisinal-radiative model for the analysis of K-shell line spectra emitted by Z-pinch plasma

  • 1. (1)Department of Engineering Physics, Tsinghua University, Beijing 100084, China; (2)Institute of Fluid Physics, Chinese Academy of Enginoering Physics, Mianyang 621900, China; (3)Institute of Fluid Physics, Chinese Academy of Enginoering Physics, Mianyang 621900, China;Department of Engineering Physics, Tsinghua University, Beijing 100084, China

Abstract: In this paper, the principle of the collisional-radiative model for the estimation of plasma parameters from the ratios of K-shell spectral lines was introduced. The structure of a computer program, ZSPEC, developed for the analysis of K-shell line spectra emitted by Z-pinch plasma based on the collisioanl-radiative model was described in detail. The calculation for neon plasma were presented, including the number fractions of major ionization stages at different electron temperature and the contours of K-shell line ratios in the plane defined by electron density and electron temperature. ZSPEC had been used to analyze the measured results of neon gas-puff Z-pinch experiment performed on Yang accelerator. By comparing the K-shell line ratios of neon plasma obtained by an elliptical crystal spectrometer with the results calculated by ZSPEC, the time and space averaged electron temperature and electron density of the K-shell plasma for the shot with 540 kA peaking current were determined to be 240 eV and 1.0×1019 cm-3, respectively.

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