Collision correction on collective Thomson scattering spectra and its application in inertial confinement fusion hohlraum plasmas

Hang Zhao; Yaoyuan Liu; Zhichao Li; Tao Gong; Chaoxin Chen; Jianhua Zheng; Longyu Kuang; Xin Li; Kaiqiang Pan; Qi Li; Sanwei Li; Xuelong Qin; Liang Guo; Dong Yang

doi:10.1063/5.0290643

Volume 11 Issue 5

Sep. 2026

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Article Navigation > Matter and Radiation at Extremes > 2026 > 11(5): 057401

Hang Zhao, Yaoyuan Liu, Zhichao Li, Tao Gong, Chaoxin Chen, Jianhua Zheng, Longyu Kuang, Xin Li, Kaiqiang Pan, Qi Li, Sanwei Li, Xuelong Qin, Liang Guo, Dong Yang. Collision correction on collective Thomson scattering spectra and its application in inertial confinement fusion hohlraum plasmas[J]. Matter and Radiation at Extremes, 2026, 11(5): 057401. doi: 10.1063/5.0290643

Citation:

Hang Zhao, Yaoyuan Liu, Zhichao Li, Tao Gong, Chaoxin Chen, Jianhua Zheng, Longyu Kuang, Xin Li, Kaiqiang Pan, Qi Li, Sanwei Li, Xuelong Qin, Liang Guo, Dong Yang. Collision correction on collective Thomson scattering spectra and its application in inertial confinement fusion hohlraum plasmas[J]. Matter and Radiation at Extremes, 2026, 11(5): 057401. doi: 10.1063/5.0290643

Citation:

Hang Zhao, Yaoyuan Liu, Zhichao Li, Tao Gong, Chaoxin Chen, Jianhua Zheng, Longyu Kuang, Xin Li, Kaiqiang Pan, Qi Li, Sanwei Li, Xuelong Qin, Liang Guo, Dong Yang. Collision correction on collective Thomson scattering spectra and its application in inertial confinement fusion hohlraum plasmas[J]. Matter and Radiation at Extremes, 2026, 11(5): 057401. doi: 10.1063/5.0290643

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Collision correction on collective Thomson scattering spectra and its application in inertial confinement fusion hohlraum plasmas

doi: 10.1063/5.0290643

Hang Zhao^1
,,
Yaoyuan Liu^1
,,
Zhichao Li^{1
,
,
,},
Tao Gong^1
,,
Chaoxin Chen^1
,,
Jianhua Zheng¹,
Longyu Kuang¹,
Xin Li²,
Kaiqiang Pan^1
,,
Qi Li¹,
Sanwei Li¹,
Xuelong Qin^1
,,
Liang Guo^1
,,
Dong Yang^{1
,
,
,}

1.
National Key Laboratory of Plasma Physics, Laser Fusion Research Center, China Academy of Engineering Physics, Mianyang 621900, China
2.
Institute of Applied Physics and Computational Mathematics, Beijing 100088, China

More Information

Corresponding author: a)Authors to whom correspondence should be addressed: lizhi@mail.ustc.edu.cn and yangdong1@caep.cn
Received Date: 2025-07-13
Accepted Date: 2026-05-10

Available Online: 2026-09-28

Publish Date: 2026-09-01

Abstract

Abstract

Collective Thomson scattering (CTS) is crucial for inertial confinement fusion (ICF) hohlraum diagnostics, but measurement of the electron plasma wave (EPW) feature remains challenging. The conventional collisionless model suffers from two critical defects: under low-temperature, high-density conditions it predicts an extremely narrow EPW peak that causes numerical sampling distortion, and it predicts a monotonic increase of peak intensity with decreasing scattering angle, which would mislead experimental design. To overcome these issues, the Bhatnagar–Gross–Krook (BGK) collisional model is introduced. The BGK model predicts a nonmonotonic peak intensity with an optimal angle between 30° and 60°, and yields a finite, resolvable peak width that eliminates sampling artifacts. It also enables reliable assessment of drive-beam backgrounds. Guided by the predicted optimal angle, CTS experiments at 42° were performed on the Shenguang-100 kJ facility. For the first time, both ion and electron features were simultaneously measured in the hohlraum corona, with the electron signal clearly distinguishable from the background. Joint fitting provides the temporal evolution of electron density and temperature. This work establishes a unified, collision-corrected diagnostic framework that overcomes a long-standing obstacle to measuring electron density and temperature in ICF hohlraum plasmas.

The authors have no conflicts to disclose.
Conflict of Interest
Hang Zhao and Yaoyuan Liu contributed equally to this work.
Author Contributions
Hang Zhao: Conceptualization (equal); Formal analysis (equal); Writing – original draft (equal). Yaoyuan Liu: Conceptualization (equal); Formal analysis (equal); Writing – review & editing (lead). Zhichao Li: Investigation (equal); Resources (equal); Supervision (equal). Tao Gong: Formal analysis (equal); Investigation (supporting). Chaoxin Chen: Formal analysis (equal); Investigation (supporting). Jianhua Zheng: Data curation (equal); Software (equal). Longyu Kuang: Software (equal). Xin Li: Software (equal). Kaiqiang Pan: Formal analysis (equal); Investigation (supporting). Qi Li: Formal analysis (equal); Investigation (supporting). Sanwei Li: Supervision (equal). Xuelong Qin: Data curation (equal). Liang Guo: Data curation (equal). Dong Yang: Resources (equal); Supervision (equal).
The data that support the findings of this study are available from the corresponding authors upon reasonable request.

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References(40)

References

[1]	J. Lindl, “Development of the indirect-drive approach to inertial confinement fusion and the target physics basis for ignition and gain,” Phys. Plasmas 2, 3933 (1995).10.1063/1.871025
[2]	S. Atzeni and J. Meyer-ter-Vehn, The Physics of Inertial Fusion (Oxford University Press, 2004).
[3]	D. H. Froula, S. H. Glenzer, N. C. Luhmann, and J. Sheffield, Plasma Scattering of Electromagnetic Radiation: Theory and Measurement Techniques, 2nd ed. (Academic Press, 2011).
[4]	J. Zheng and C. X. Yu, “Collective Thomson scattering from high-temperature high-density plasmas revisited,” Plasma Phys. Controlled Fusion 51, 095009 (2009).10.1088/0741-3335/51/9/095009
[5]	R. K. Follett, J. A. Delettrez, D. H. Edgell, R. J. Henchen, J. Katz et al., “Plasma characterization using ultraviolet Thomson scattering from ion-acoustic and electron plasma waves,” Rev. Sci. Instrum. 87, 11E401 (2016).10.1063/1.4959160
[6]	H. Zhao, Z. Li, D. Yang, X. Li, Y. Chen et al., “Progress in optical Thomson scattering diagnostics for ICF gas-filled hohlraums,” Matter Radiat. Extremes 4, 055201 (2019).10.1063/1.5090971
[7]	S. Le Pape, L. Divol, G. Huser, J. Katz, A. Kemp et al., “Plasma collision in a gas atmosphere,” Phys. Rev. Lett. 124, 025003 (2020).10.1103/physrevlett.124.025003
[8]	S. H. Glenzer, W. Rozmus, B. J. MacGowan, K. G. Estabrook, J. D. De Groot et al., “Thomson scattering from high-Z laser-produced plasmas,” Phys. Rev. Lett. 82, 97 (1999).10.1103/physrevlett.82.97
[9]	S. H. Glenzer, K. B. Fournier, B. G. Wilson, R. W. Lee, and L. J. Suter, “Ionization balance in inertial confinement fusion hohlraums,” Phys. Rev. Lett. 87, 045002 (2001).10.1103/physrevlett.87.045002
[10]	S. H. Glenzer, C. A. Back, L. J. Suter, M. A. Blain, O. L. Landen et al., “Thomson scattering from inertial-confinement-fusion hohlraum plasmas,” Phys. Rev. Lett. 79, 1277 (1997).10.1103/physrevlett.79.1277
[11]	D. H. Froula, J. S. Ross, L. Divol, N. Meezan, A. J. MacKinnon et al., “Thomson-scattering measurements of high electron temperature hohlraum plasmas for laser-plasma interaction studies,” Phys. Plasmas 13, 052704 (2006).10.1063/1.2203232
[12]	D. H. Froula, J. S. Ross, L. Divol, and S. H. Glenzer, “Thomson-scattering techniques to diagnose local electron and ion temperatures, density, and plasma wave amplitudes in laser produced plasmas,” Rev. Sci. Instrum. 77, 10E522 (2006).10.1063/1.2336451
[13]	T. Gong, Z. Li, X. Jiang, Y. Ding, D. Yang et al., “Development of Thomson scattering system on Shenguang-III prototype laser facility,” Rev. Sci. Instrum. 86, 023501 (2015).10.1063/1.4907710
[14]	Z. Li, H. Zhao, T. Gong, X. Li, D. Yang et al., “Recent research progress of optical Thomson scattering in laser-driven inertial confinement fusion,” High Power Laser Part. Beams 32, 092004 (2020).10.11884/HPLPB202032.200130
[15]	C. Chen, T. Gong, Z. Li, L. Hao, Y. Liu et al., “Study of the spatial growth of stimulated Brillouin scattering in a gas-filled hohlraum via detecting the driven ion acoustic wave,” Matter Radiat. Extremes 9, 027601 (2024).10.1063/5.0173023
[16]	J. S. Ross, P. Datte, L. Divol, J. Galbraith, D. H. Froula et al., “Simulated performance of the optical Thomson scattering diagnostic designed for the National Ignition Facility,” Rev. Sci. Instrum. 87, 11E510 (2016).10.1063/1.4959568
[17]	P. S. Datte, J. S. Ross, D. H. Froula, K. D. Daub, J. Galbraith et al., “The design of the optical Thomson scattering diagnostic for the National Ignition Facility,” Rev. Sci. Instrum. 87, 11E549 (2016).10.1063/1.4962043
[18]
[19]	H. Zhao, Z. Li, X. Li, Y. Liu, T. Gong et al., “Assessment of quintuple-frequency Thomson scattering on Shenguang-100 kJ laser facility,” Acta Opt. Sin. 42, 1134013 (2022).10.3788/AOS202242.1134013
[20]	S. Depierreux, V. Tassin, C. Neuville, and J. Katz, “Requirements for a 4 Thomson scattering system on megajoule scale laser facilities,” Rev. Sci. Instrum. 91, 083508 (2020).10.1063/5.0008740
[21]	P. L. Bhatnagar, E. P. Gross, and M. Krook, “A model for collision processes in gases. I. Small amplitude processes in charged and neutral one-component systems,” Phys. Rev. 94, 511 (1954).10.1103/physrev.94.511
[22]	H. Zhao, Z. Li, D. Yang, X. Jiang, Y. Liu et al., “Implementation of ultraviolet Thomson scattering on SG-III laser facility,” Rev. Sci. Instrum. 89, 093505 (2018).10.1063/1.5046837
[23]	D. O. Gericke, M. S. Murillo, and M. Schlanges, “Dense plasma temperature equilibration in the binary collision approximation,” Phys. Rev. E 65, 036418 (2002).10.1103/physreve.65.036418
[24]	H. Cai, W. Zhang, B. Du, X. Yan, L. Shan et al., “Characteristic and impact of kinetic effects at interfaces of inertial confinement fusion hohlraums,” High Power Laser Part. Beams 32, 092007 (2020).10.11884/HPLPB202032.200134
[25]	L. Shan, F. Wu, Z. Yuan, W. Wang, H. Cai et al., “Research progress of kinetic effects in laser inertial confinement fusion,” High Power Laser Part. Beams 33, 012004 (2021).10.11884/HPLPB202133.200235
[26]	L. Guo, X. Li, X. Xie, B. Deng, X. Jiang et al., “Experimental and simulation studies on gold bubble movement in gas-filled hohlraums,” Nucl. Fusion 59, 016002 (2019).10.1088/1741-4326/aae8bc
[27]	T. Gong, C. Chen, Z. Li, L. Hao, H. Zhao et al., “Experimental study on super-thermal collective Thomson scattering,” High Power Laser Part. Beams 34, 062001 (2022).10.11884/HPLPB202234.220167
[28]	J. Zheng, L. Kuang, S. Jiang, L. Zhang, H. Li et al., “Mitigating wall plasma expansion and enhancing x-ray emission by using multilayer gold films as hohlraum material,” Nucl. Fusion 61, 086004 (2021).10.1088/1741-4326/ac04f5
[29]	R. K. Follett, D. H. Edgell, R. J. Henchen, S. X. Hu, J. Katz et al., “Direct observation of the two-plasmon-decay common plasma wave using ultraviolet Thomson scattering,” Phys. Rev. E 91, 031104 (2015).10.1103/physreve.91.031104
[30]	A. L. Milder, J. Zielinski, J. Katz, W. Rozmus, D. Edgell et al., “Direct measurement of the return current instability in a laser-produced plasma,” Phys. Rev. Lett. 129, 115002 (2022).10.1103/physrevlett.129.115002
[31]	Y. Liu, Y. Ding, and J. Zheng, “Improvement in Thomson scattering diagnostic precision via fitting the multiple-wavenumber spectra simultaneously,” Rev. Sci. Instrum. 90, 083501 (2019).10.1063/1.5110932
[32]	R. J. Henchen, M. Sherlock, W. Rozmus, J. Katz, D. Cao et al., “Observation of nonlocal heat flux using Thomson scattering,” Phys. Rev. Lett. 121, 125001 (2018).10.1103/physrevlett.121.125001
[33]	A. R. Bell, R. G. Evans, and D. J. Nicholas, “Electron energy transport in steep temperature gradients in laser-produced plasmas,” Phys. Rev. Lett. 46, 243 (1981).10.1103/physrevlett.46.243
[34]	H. Zhao, Z. Sheng, and S. Weng, “Nonlocal thermal transport in magnetized plasma along different directions,” Matter Radiat. Extremes 7, 045901 (2022).10.1063/5.0086783
[35]	A. S. Davies, D. Haberberger, J. Katz, S. Bucht, J. P. Palastro et al., “Picosecond thermodynamics in underdense plasmas measured with Thomson scattering,” Phys. Rev. Lett. 122, 155001 (2019).10.1103/physrevlett.122.155001
[36]	W. Rozmus, A. Brantov, C. Fortmann-Grote, V. Y. Bychenkov, and S. Glenzer, “Electrostatic fluctuations in collisional plasmas,” Phys. Rev. E 96, 043207 (2017).10.1103/physreve.96.043207
[37]	M. Tzoufras, A. R. Bell, P. A. Norreys, and F. S. Tsung, “A Vlasov-Fokker-Planck code for high energy density physics,” J. Comput. Phys. 230, 6475 (2011).10.1016/j.jcp.2011.04.034
[38]	A. G. R. Thomas, M. Tzoufras, A. P. L. Robinson, R. J. Kingham, C. P. Ridgers et al., “A review of Vlasov-Fokker-Planck numerical modeling of inertial confinement fusion plasma,” J. Comput. Phys. 231, 1051 (2012).10.1016/j.jcp.2011.09.028
[39]	H. Zhao, S. Weng, Z. Sheng, S. Jin, and J. Zhang, “A Vlasov-Fokker-Planck-Landau code for the simulation of colliding supersonic dense plasma flows,” J. Comput. Phys. 503, 112843 (2024).10.1016/j.jcp.2024.112843
[40]	Z. Zhu, Y. Liu, J. Li, H. Wen, S. Cao et al., “A particle-in-cell simulation framework for Thomson scattering analysis in inertial confinement fusion,” Plasma Phys. Controlled Fusion 68, 035028 (2026).10.1088/1361-6587/ae52b1