High Power Laser Science and Engineering, Volume. 12, Issue 3, 03000e32(2024)

Metrology for sub-Rayleigh-length target positioning in ∼1022 W/cm2 laser–plasma experiments

E. A. Vishnyakov1、*, A. Sagisaka2, K. Ogura2, T. Zh. Esirkepov2, B. Gonzalez-Izquierdo2, C. D. Armstrong3, T. A. Pikuz4, S. A. Pikuz5, W. Yan6,7, T. M. Jeong1, S. Singh8,9, P. Hadjisolomou1, O. Finke1, G. M. Grittani1, M. Nevrkla1,10, C. M. Lazzarini1,10, A. Velyhan1, T. Hayakawa2,11, Y. Fukuda2, J. K. Koga2, M. Ishino2, K. Kondo2, Y. Miyasaka2, A. Kon2, M. Nishikino2, Y. V. Nosach12, D. Khikhlukha1, I. P. Tsygvintsev13, D. Kumar1, J. Nejdl1,10, D. Margarone1, P. V. Sasorov1, S. Weber1, M. Kando2, H. Kiriyama2, Y. Kato11, G. Korn1, K. Kondo2, S. V. Bulanov1,2, T. Kawachi2, and A. S. Pirozhkov2、*
Author Affiliations
  • 1ELI Beamlines Facility, The Extreme Light Infrastructure ERIC, Dolní Břežany, Czech Republic
  • 2Kansai Institute for Photon Science (KPSI), QST, Kyoto, Japan
  • 3Central Laser Facility, Rutherford Appleton Laboratory, STFC, Harwell Oxford, Didcot, UK
  • 4Institute for Open and Transdisciplinary Research Initiatives, Osaka University, Osaka, Japan
  • 5HB11 Energy Holdings, Freshwater, Australia
  • 6Key Laboratory for Laser Plasmas (Ministry of Education), School of Physics and Astronomy, Shanghai Jiao Tong University, Shanghai, China
  • 7Collaborative Innovation Center of IFSA, Shanghai Jiao Tong University, Shanghai, China
  • 8Institute of Plasma Physics ASCR, Prague, Czech Republic
  • 9FZU – Institute of Physics ASCR, Prague, Czech Republic
  • 10Czech Technical University in Prague, FNSPE, Prague, Czech Republic
  • 11Institute of Laser Engineering, Osaka University, Osaka, Japan
  • 12Institute of Physics, National Academy of Sciences of Ukraine, Kyiv, Ukraine
  • 13ISTEQ AR, Yerevan, Armenia
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    Figures & Tables(8)
    Experimental scheme (not to scale). The J-KAREN-P laser pulses (Ø 280 mm, 33 fs, 10 J, λ0 ~ 820 nm, p-polarized) were focused into an reff ~ 1.3 μm focal spot on a 5–20 μm stainless-steel tape target[26" target="_self" style="display: inline;">26] mounted at a 45º incident angle. The observation direction of the back-reflection diagnostics at 1ω is shown by the red arrow. Several reflection diagnostics (1ω and 2ω imagers, 1ω–4ω fiber spectrometer) measured the reflected beam footprint on a screen mounted perpendicular to the ‘specular reflection’ direction; a three-channel flat-field XUV spectrograph (3FF) was mounted behind a hole in the screen. The first hard X-ray spectrometer, HXRS-1, was mounted 98º off the main laser pulse direction. The second hard X-ray spectrometer, HXRS-2, and an electron spectrometer (ESM) were along the direction of the main laser pulse, while the imaging XUV spectrograph was 12º off this direction. The symbols represent dipole magnets removing electrons from HXRS-1 and HXRS-2 and dispersing electrons in the electron spectrometer ESM. Two soft X-ray spectrometers with spatial resolution (FSSR) were mounted out-of-plane on the target front (-F) and rear (-R) sides, respectively. The insets show spatial and temporal J-KAREN-P laser pulse profiles. A tape target of 20 mm width was mounted on a double-rotating-reel setup, which could be translated linearly along the laser axis with a 0.1-μm step size (the ‘+X’ denotes direction away from the OAP mirror).
    The fields of view of the 1ω (a) and 2ω (b) cameras imaging a PTFE screen mounted perpendicular to the ‘specular reflection’ direction. The geometric center of the reflected beam is marked with white circles. The dashed ellipses denote the spectrometer observation area. (c) Typical absolutely calibrated reflected spectrum. The energy values calculated within the (n ± 0.25)ω0 spectral bandwidths (colored) are given for harmonic orders n = 1, 2, 3.
    Normalized energy from the four reflection beam diagnostics versus the target position X (‘–’ denotes the direction towards the OAP mirror, and X0 corresponds to the best focus position). All values are normalized by the on-target pulse energy E0. The plots in (a) and (b) are for the 1ω and 2ω diagnostics, respectively, where the upper data (black) are from the imagers, while the lower data (red) are integrated from the 1ω–4ω spectrometer within (1 ± 0.25)ω0 and (2 ± 0.25)ω0, correspondingly. (c) The 3ω data integrated within the (3 ± 0.25)ω0 band from the 1ω–4ω spectrometer. (d) The normalized back-reflected energy.
    (a) Typical spatially resolved XUV spectrum; λ = 0 denotes the zeroth diffraction order. (b) Dependence of the integrated zeroth order on the target position (‘–’ is towards the OAP mirror) for 5-μm- and 15-μm-thick targets, and their Lorentzian fits. (c) Dependence of the integrated ESM yield on the target position for a 15-μm-thick target. The dashed line shows the ESM noise level.
    HXRS scintillator plate signals versus target position X (‘–’ is towards the OAP mirror, X0 is the best focus). (a)–(c) HXRS-1 (off-axis), (d)–(f) HXRS-2 (on-axis). (a) HXRS-1 plate #0, 10-μm-thick SUS. (b) HXRS-1 plate #5, 10-μm-thick SUS. (c) HXRS-1 plate #5, 5-μm-thick SUS. (d) HXRS-2 plate #0, 10-μm-thick SUS. (e) HXRS-2 plate #3, 10-μm-thick SUS. (f) HXRS-2 plate #2, 5-μm-thick SUS. Lorentzian fits are shown, where applicable. Scintillator plate #0 was the closest to the interaction point. The error bars in all the frames are due to the CMOS camera noise.
    (a) A typical FSSR-F spectrum recorded in the vicinity of the best in-focus target position. The spectrum covers wavelengths from 0.165 to 1.63 nm in different diffraction orders from m = 1 to m = 8. Strong characteristic lines Fe Kα (λ = 0.194 nm) and Cr Kα (λ = 0.229 nm) were observed in m = 8 and m = 7 diffraction orders, respectively. The continuous signal corresponds to bremsstrahlung. A narrow strip of a 25-μm C3H6 filter allows for observing a narrow portion of the spectrum, suppressing emission from lower diffraction orders (m = 1, m = 2). (b), (c) FSSR-F data for 15-μm SUS targets, integrated within an area without (b) and with (c) the 25-μm-thick C3H6 filter. (d), (e) FSSR-R integrated bremsstrahlung signal for 15-μm (d) and 5-μm (e) SUS targets. (f) FSSR-R Fe Kα integrated signals for 15- and 5-μm SUS targets. The black error bars correspond to statistical shot-to-shot signal variations, while the smaller colored error bars are due to CCD camera noise. Lorentzian fits are shown, where applicable.
    (a) 3FF spectrum with harmonics. The upper and lower parts correspond to the shallow- and high-deviation-angle mirrors, respectively. Dashed lines show the Al filter cutoff (λ = 17 nm) in the first and second diffraction orders. (b), (c) Integrated 3FF signal versus target position for 10- and 15-μm SUS targets, respectively. The error bars correspond to shot-to-shot signal variations.
    • Table 1. Accuracy of the instruments for the best in-focus target positioning.

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      Table 1. Accuracy of the instruments for the best in-focus target positioning.

      Name of the instrumentPeak FWHM (μm)Peak shift (μm)Estimateda accuracy (μm)Comment
      Reflection ‘specular direction’ camera, 1ω~60~20~30Multi-peak
      Reflection ‘specular direction’ camera, 2ω24 ± 6<5~12
      Reflection ‘specular direction’ spectrometer, 1ω~70~30~30Multi-peak
      Reflection ‘specular direction’ spectrometer, 2ω24 ± 10<5~12
      Reflection ‘specular direction’ spectrometer, 3ω18 ± 6<4~5
      Back-reflection cameraNot applicableNo peak
      Rear-side XUV – thin targets40 ± 6<5~20
      Rear-side XUV – thick targets60 ± 26<10~30Weak signal
      Rear-side ESM~120~40~60Plateau-like
      Rear-side HXRS-1 (off-axis) – thin targets~120~50~60No clear peak
      Rear-side HXRS-1 (off-axis) – thick targets~200~20~100Broad peak
      Rear-side HXRS-2 (on-axis) – thin targets16 ± 6<4~5Weak signal
      Rear-side HXRS-2 (on-axis) – thick targets16 ± 2<2.5~5
      Front-side FSSR-F40 ± 10<5~20
      Rear-side FSSR-R – bremsstrahlung integral24 ± 8<5~12Double-peak
      Rear-side FSSR-R – Fe Kα integralNot applicableMulti-peak
      ‘Specular reflection’ 3FF spectrometer – integral~50~10~25Multi-peak
      ‘Specular reflection’ 3FF spectrometer – HOH~50~10~25
      ‘Specular reflection’ 3FF spectrometer – central dip~10~5~5Contrast-dependent
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    E. A. Vishnyakov, A. Sagisaka, K. Ogura, T. Zh. Esirkepov, B. Gonzalez-Izquierdo, C. D. Armstrong, T. A. Pikuz, S. A. Pikuz, W. Yan, T. M. Jeong, S. Singh, P. Hadjisolomou, O. Finke, G. M. Grittani, M. Nevrkla, C. M. Lazzarini, A. Velyhan, T. Hayakawa, Y. Fukuda, J. K. Koga, M. Ishino, K. Kondo, Y. Miyasaka, A. Kon, M. Nishikino, Y. V. Nosach, D. Khikhlukha, I. P. Tsygvintsev, D. Kumar, J. Nejdl, D. Margarone, P. V. Sasorov, S. Weber, M. Kando, H. Kiriyama, Y. Kato, G. Korn, K. Kondo, S. V. Bulanov, T. Kawachi, A. S. Pirozhkov. Metrology for sub-Rayleigh-length target positioning in ∼1022 W/cm2 laser–plasma experiments[J]. High Power Laser Science and Engineering, 2024, 12(3): 03000e32

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    Paper Information

    Special Issue:

    Received: Nov. 9, 2023

    Accepted: Feb. 22, 2024

    Published Online: Jul. 23, 2024

    The Author Email: E. A. Vishnyakov (eugene.vishnyakov@eli-beams.eu), A. S. Pirozhkov (pirozhkov.alexander@qst.go.jp)

    DOI:10.1017/hpl.2024.11

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