High Power Laser Science and Engineering, Volume. 13, Issue 4, 04000e59(2025)

Spatial distributions of laser–plasma instability in the beam overlapping region

Chengzhuo Xiao1,3、*, Kaiqiang Pan2, Han Wen1, Tao Gong2、*, Zhichao Li2, Ji Yan2, Jinqing Yu1, and Dong Yang2
Author Affiliations
  • 1School of Physics and Electronics, Hunan University, Changsha, China
  • 2National Key Laboratory of Plasma Physics, Laser Fusion Research Center, China Academy of Engineering Physics, Mianyang, China
  • 3Collaborative Innovation Center of IFSA (CICIFSA), Shanghai Jiao Tong University, Shanghai, China
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    Figures & Tables(9)
    Spatial distributions of the single-beam SRS growth rate: (a) s-polarized beam denoted by the green rectangle and (b) p-polarized beam denoted by the blue rectangle. The unit of the growth rate is
    Distributions of growth rates of two s-polarized beams (green rectangles) under four incidence angles: (a) , (b) , (c) and (d) . The resonant beam is shown with a bold rectangle. The modes with the maximum growth rate are marked by a white ‘X’.
    Distributions of growth rates of two p-polarized beams (blue rectangles) under four incidence angles: (a) , (b) , (c) and (d) .
    Distributions of growth rates of an s-polarized beam (green rectangle) and a p-polarized beam (blue rectangle): (a) the resonant beam is s-polarized (S-P interactions), while (b) the resonant beam is p-polarized (P-S interactions).
    Distributions of growth rates of four incident beams: (a)–(f) are varied in polarization configurations and incident angles as depicted in each plot.
    Distributions of growth rates of eight incident beams: (a)–(i) are varied in polarization configurations and incidence angles as described in the top and left.
    Particle-in-cell simulations of two-beam SRS in two-dimensions. The left-hand and middle columns show the time-averaged longitudinal and transverse field spectra, respectively: two s-polarized beams incident with (a) , (d) , and a p-polarized beam (upper) and an s-polarized beam (lower) incident with (g) . The figures in the right-hand column are the corresponding spatial distributions of scattered light, which are interpolated along circles in the left-hand figures. The center () indicates scattered light along the direction.
    • Table 1. Average polarization factor of the SL mode and SP mode under different polarization configurations. The black, red and green arrows in the insets represent the wave vectors of incident lights, scattered lights and plasma waves, respectively.

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      Table 1. Average polarization factor of the SL mode and SP mode under different polarization configurations. The black, red and green arrows in the insets represent the wave vectors of incident lights, scattered lights and plasma waves, respectively.

      SL modeSP mode
      Configuration
      S11
      P ${\cos}^2\theta$ ${\cos}^2\alpha$
      S-P1/2 $(1+{\cos}^2\alpha )/2$
      S/8S1/21
      P/8P ${\cos}^2\theta /2$ ${\cos}^2\alpha$
      S-P-S-P $(1+{\cos}^2\theta )/2$ $(1+{\cos}^2\alpha )/2$
      S–2P/4S–4P $(1+{\cos}^2\theta )/4$ $(1+{\cos}^2\alpha )/2$
    • Table 2. A summary of the maximum growth rates under different polarization configurations when (denoted by ‘Maximum’). The growth rate of a backward scattered seed whose polarization is aligned with the resonant beam is also evaluated under the same conditions (denoted by ‘Backward’).

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      Table 2. A summary of the maximum growth rates under different polarization configurations when (denoted by ‘Maximum’). The growth rate of a backward scattered seed whose polarization is aligned with the resonant beam is also evaluated under the same conditions (denoted by ‘Backward’).

      Configuration2S2PS-PP-S4S4PS-P-S-PS-S-P-P8S8P4S-4P
      Maximum $(\times {10}^{-4}{\omega}_0^{-1})$ 11.08.38.49.611.010.412.410.314.711.812.4
      Backward $(\times {10}^{-4}{\omega}_0^{-1})$ 9.78.38.39.69.29.39.88.99.49.99.4
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    Chengzhuo Xiao, Kaiqiang Pan, Han Wen, Tao Gong, Zhichao Li, Ji Yan, Jinqing Yu, Dong Yang. Spatial distributions of laser–plasma instability in the beam overlapping region[J]. High Power Laser Science and Engineering, 2025, 13(4): 04000e59

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    Paper Information

    Category: Research Articles

    Received: Nov. 25, 2024

    Accepted: May. 15, 2025

    Published Online: Sep. 15, 2025

    The Author Email: Chengzhuo Xiao (xiaocz@hnu.edu.cn), Tao Gong (gongtaolfrc@163.com)

    DOI:10.1017/hpl.2025.10037

    CSTR:32185.14.hpl.2025.10037

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