| Citation: | Huang Lingen, Šmíd Michal, Yang Long, Humphries Oliver, Hagemann Johannes, Engler Thea, Pan Xiayun, Cui Yangzhe, Kluge Thomas, Aguilar Ritz, Baehtz Carsten, Brambrink Erik, Eren Engin, Falk Katerina, Laso Garcia Alejandro, Göde Sebastian, Gutt Christian, Hassan Mohamed, Heuser Philipp, Höppner Hauke, Kozlova Michaela, Lu Wei, Metzkes-Ng Josefine, Masruri Masruri, Mishchenko Mikhail, Nakatsutsumi Motoaki, Ota Masato, Öztürk Özgül, Pelka Alexander, Prencipe Irene, Preston Thomas R., Randolph Lisa, Rehwald Martin, Schlenvoigt Hans-Peter, Schramm Ulrich, Schwinkendorf Jan-Patrick, Starke Sebastian, Štefaníková Radka, Thiessenhusen Erik, Toncian Monika, Toncian Toma, Vorberger Jan, Zastrau Ulf, Zeil Karl, Cowan Thomas E.. Demonstration of full-scale spatiotemporal diagnostics of solid-density plasmas driven by an ultra-short relativistic laser pulse using an X-ray free-electron laser[J]. Matter and Radiation at Extremes, 2026, 11(1): 017201. doi: 10.1063/5.0279974 |
| [1] |
L. G. Huang, T. Kluge, and T. E. Cowan, “Dynamics of bulk electron heating and ionization in solid density plasmas driven by ultra-short relativistic laser pulses,” Phys. Plasmas 23, 063112 (2016).10.1063/1.4953891
|
| [2] |
V. Bagnoud, J. Hornung, T. Schlegel, B. Zielbauer, C. Brabetz et al., “Studying the dynamics of relativistic laser-plasma interaction on thin foils by means of Fourier-transform spectral interferometry,” Phys. Rev. Lett. 118, 255003 (2017).10.1103/physrevlett.118.255003
|
| [3] |
C. Bernert, S. Assenbaum, S. Bock, F.-E. Brack, T. E. Cowan et al., “Transient laser-induced breakdown of dielectrics in ultrarelativistic laser-solid interactions,” Phys. Rev. Appl. 19, 014070 (2023).10.1103/physrevapplied.19.014070
|
| [4] |
S. C. Wilks, W. L. Kruer, M. Tabak, and A. B. Langdon, “Absorption of ultra-intense laser pulses,” Phys. Rev. Lett. 69, 1383 (1992).10.1103/physrevlett.69.1383
|
| [5] |
F. N. Beg, A. R. Bell, A. E. Dangor, C. N. Danson, A. P. Fews et al., “A study of picosecond laser–solid interactions up to 1019 W/cm−2,” Phys. Plasmas 4, 447 (1997).10.1063/1.872103
|
| [6] |
T. Kluge, T. Cowan, A. Debus, U. Schramm, K. Zeil et al., “Electron temperature scaling in laser interaction with solids,” Phys. Rev. Lett. 107, 205003 (2011).10.1103/physrevlett.107.205003
|
| [7] |
J. Park, R. Tommasini, R. Shepherd, R. A. London, C. Bargsten et al., “Absolute laser energy absorption measurement of relativistic 0.7 ps laser pulses in nanowire arrays,” Phys. Plasmas 28, 023302 (2021).10.1063/5.0035174
|
| [8] |
C. Bernert, S. Assenbaum, F.-E. Brack, T. E. Cowan, C. B. Curry et al., “Off-harmonic optical probing of high intensity laser plasma expansion dynamics in solid density hydrogen jets,” Sci. Rep. 12, 7287 (2022).10.1038/s41598-022-10797-6
|
| [9] |
K. Quinn, P. A. Wilson, C. A. Cecchetti, B. Ramakrishna, L. Romagnani et al., “Laser-driven ultrafast field propagation on solid surfaces,” Phys. Rev. Lett. 102, 194801 (2009).10.1103/physrevlett.102.194801
|
| [10] |
K. Quinn, L. Romagnani, B. Ramakrishna, G. Sarri, M. E. Dieckmann et al., “Weibel-induced filamentation during an ultrafast laser-driven plasma expansion,” Phys. Rev. Lett. 108, 135001 (2012).10.1103/physrevlett.108.135001
|
| [11] |
A. Morace, L. Fedeli, D. Batani, S. Baton, F. N. Beg et al., “Development of x-ray radiography for high energy density physics,” Phys. Plasmas 21, 102712 (2014).10.1063/1.4900867
|
| [12] |
U. Zastrau, P. Audebert, V. Bernshtam, E. Brambrink, T. Kämpfer et al., “Temperature and kα-yield radial distributions in laser-produced solid-density plasmas imaged with ultrahigh-resolution x-ray spectroscopy,” Phys. Rev. E 81, 026406 (2010).10.1103/physreve.81.026406
|
| [13] |
S. H. Glenzer and R. Redmer, “X-ray Thomson scattering in high energy density plasmas,” Rev. Mod. Phys. 81, 1625 (2009).10.1103/revmodphys.81.1625
|
| [14] |
L. G. Huang, H. P. Schlenvoigt, H. Takabe, and T. E. Cowan, “Ionization and reflux dependence of magnetic instability generation and probing inside laser-irradiated solid thin foils,” Phys. Plasmas 24, 103115 (2017).10.1063/1.4989457
|
| [15] |
L. Yang, M. Rehwald, T. Kluge, A. Laso Garcia, T. Toncian et al., “Dynamic convergent shock compression initiated by return current in high-intensity laser–solid interactions,” Matter Radiat. Extremes 9, 047204 (2024).10.1063/5.0181321
|
| [16] |
F. Kroll, F.-E. Brack, C. Bernert, S. Bock, E. Bodenstein et al., “Tumour irradiation in mice with a laser-accelerated proton beam,” Nat. Phys. 18, 316 (2022).10.1038/s41567-022-01520-3
|
| [17] |
J. Nuckolls, L. Wood, A. Thiessen, and G. Zimmerman, “Laser compression of matter to super-high densities: Thermonuclear (CTR) applications,” Nature 239, 139 (1972).10.1038/239139a0
|
| [18] |
R. Kodama, P. A. Norreys, K. Mima, A. E. Dangor, R. G. Evans et al., “Fast heating of ultrahigh-density plasma as a step towards laser fusion ignition,” Nature 412, 798 (2001).10.1038/35090525
|
| [19] |
U. Zastrau, K. Appel, C. Baehtz, O. Baehr, L. Batchelor et al., “The high energy density scientific instrument at the european XFEL,” J. Synchrotron Radiat. 28, 1393 (2021).10.1107/s1600577521007335
|
| [20] |
B. Nagler, B. Arnold, G. Bouchard, R. F. Boyce, R. M. Boyce et al., “The matter in extreme conditions instrument at the linac coherent light source,” J. Synchrotron Radiat. 22, 520 (2015).10.1107/s1600577515004865
|
| [21] |
T. Yabuuchi, A. Kon, Y. Inubushi, T. Togahi, K. Sueda et al., “An experimental platform using high-power, high-intensity optical lasers with the hard x-ray free-electron laser at SACLA,” J. Synchrotron Radiat. 26, 585 (2019).10.1107/s1600577519000882
|
| [22] |
T. Kluge, M. Rödel, J. Metzkes-Ng, A. Pelka, A. L. Garcia et al., “Observation of ultrafast solid-density plasma dynamics using femtosecond x-ray pulses from a free-electron laser,” Phys. Rev. X 8, 031068 (2018).10.1103/physrevx.8.031068
|
| [23] |
L. Gaus, L. Bischoff, M. Bussmann, E. Cunningham, C. B. Curry et al., “Probing ultrafast laser plasma processes inside solids with resonant small-angle x-ray scattering,” Phys. Rev. Res. 3, 043194 (2021).10.1103/physrevresearch.3.043194
|
| [24] |
T. Kluge, M. Bussmann, E. Galtier, S. Glenzer, J. Grenzer et al., “Probing shock dynamics inside micro-wire targets after high-intensity laser irradiation using small angle x-ray scattering of a free-electron laser,” New J. Phys. 25, 103036 (2023).10.1088/1367-2630/acfab5
|
| [25] |
L. Randolph, M. Banjafar, T. R. Preston, T. Yabuuchi, M. Makita et al., “Nanoscale subsurface dynamics of solids upon high-intensity femtosecond laser irradiation observed by grazing-incidence x-ray scattering,” Phys. Rev. Res. 4, 033038 (2022).10.1103/physrevresearch.4.033038
|
| [26] |
L. Randolph, M. Banjafar, T. Yabuuchi, C. Baehtz, M. Bussmann et al., “(sub-)picosecond surface correlations of femtosecond laser excited al-coated multilayers observed by grazing-incidence x-ray scattering,” Nanomaterials 14, 1050 (2024).10.3390/nano14121050
|
| [27] |
A. Schropp, R. Hoppe, V. Meier, J. Patommel, F. Seiboth et al., “Imaging shock waves in diamond with both high temporal and spatial resolution at an XFEL,” Sci. Rep. 5, 11089 (2015).10.1038/srep11089
|
| [28] |
J. Hagemann, M. Vassholz, H. Hoeppe, M. Osterhoff, J. M. Rosselló et al., “Single-pulse phase-contrast imaging at free-electron lasers in the hard X-ray regime,” J. Synchrotron Radiat. 28, 52 (2021).10.1107/s160057752001557x
|
| [29] |
D. S. Hodge, A. F. T. Leong, S. Pandolfi, K. Kurzer-Ogul, D. S. Montgomery et al., “Multi-frame, ultrafast, x-ray microscope for imaging shockwave dynamics,” Opt. Express 30, 38405 (2022).10.1364/oe.472275
|
| [30] |
A. Laso Garcia, L. Yang, V. Bouffetier, K. Appel, C. Baehtz et al., “Cylindrical compression of thin wires by irradiation with a joule-class short-pulse laser,” Nat. Commun. 15, 7896 (2024).10.1038/s41467-024-52232-6
|
| [31] |
H. Sawada, T. Yabuuchi, N. Higashi, T. Iwasaki, K. Kawasaki et al., “Ultrafast time-resolved 2D imaging of laser-driven fast electron transport in solid density matter using an x-ray free electron laser,” Rev. Sci. Instrum. 94, 033511 (2023).10.1063/5.0130953
|
| [32] |
H. Sawada, T. Yabuuchi, N. Higashi, T. Iwasaki, K. Kawasaki et al., “Spatiotemporal dynamics of fast electron heating in solid-density matter via xfel,” Nat. Commun. 15, 7528 (2024).10.1038/s41467-024-51084-4
|
| [33] |
S. Frydrych, J. Vorberger, N. J. Hartley, A. K. Schuster, K. Ramakrishna et al., “Demonstration of x-ray Thomson scattering as diagnostics for miscibility in warm dense matter,” Nat. Commun. 11, 2620 (2020).10.1038/s41467-020-16426-y
|
| [34] |
N. F. Beier, H. Allison, P. Efthimion, K. A. Flippo, L. Gao et al., “Homogeneous, micron-scale high-energy-density matter generated by relativistic laser-solid interactions,” Phys. Rev. Lett. 129, 135001 (2022).10.1103/physrevlett.129.135001
|
| [35] |
O. S. Humphries, P. Allan, C. R. D. Brown, L. M. R. Hobbs, S. F. James et al., “Time evolution of transient plasma states from nanowire arrays irradiated at relativistic intensities,” Commun. Phys. 3, 170 (2020).10.1038/s42005-020-00438-7
|
| [36] |
M. Osterhoff, M. Vassholz, H. P. Hoeppe, J. M. Rosselló, R. Mettin et al., “Nanosecond timing and synchronization scheme for holographic pump–probe studies at the MID instrument at European XFEL,” J. Synchrotron Radiat. 28, 987 (2021).10.1107/s1600577521003052
|
| [37] |
T. Kluge, M. Bussmann, H.-K. Chung, C. Gutt, L. G. Huang et al., “Nanoscale femtosecond imaging of transient hot solid density plasmas with elemental and charge state sensitivity using resonant coherent diffraction,” Phys. Plasmas 23, 033103 (2016).10.1063/1.4942786
|
| [38] |
A. Laso Garcia, H. Höppner, A. Pelka, C. Bähtz, E. Brambrink et al., “ReLaX: The Helmholtz international beamline for extreme fields high-intensity short-pulse laser driver for relativistic laser–matter interaction and strong-field science using the high energy density instrument at the European x-ray free electron laser facility,” High Power Laser Sci. Eng. 9, e59 (2021).10.1017/hpl.2021.47
|
| [39] |
N. Kujala, W. Freund, J. Liu, A. Koch, T. Falk et al., “Hard x-ray single-shot spectrometer at the European x-ray free-electron laser,” Rev. Sci. Instrum. 91, 103101 (2020).10.1063/5.0019935
|
| [40] |
T. R. Preston, S. Göde, J.-P. Schwinkendorf, K. Appel, E. Brambrink et al., “Design and performance characterisation of the HAPG von Hámos spectrometer at the high energy density instrument of the European XFEL,” J. Instrum. 15, P11033 (2020).10.1088/1748-0221/15/11/p11033
|
| [41] |
A. Mozzanica, M. Andrä, R. Barten, A. Bergamaschi, S. Chiriotti et al., “The JUNGFRAU detector for applications at synchrotron light sources and XFELs,” Synchrotron Radiat. News 31, 16 (2018).10.1080/08940886.2018.1528429
|
| [42] |
M. Šmíd, C. Baehtz, A. Pelka, A. Laso García, S. Göde et al., “Mirror to measure small angle x-ray scattering signal in high energy density experiments,” Rev. Sci. Instrum. 91, 123501 (2020).10.1063/5.0021691
|
| [43] |
H. J. Kirkwood, R. Letrun, T. Tanikawa, J. Liu, M. Nakatsutsumi et al., “Initial observations of the femtosecond timing jitter at the European XFEL,” Opt Lett. 44, 1650 (2019).10.1364/ol.44.001650
|
| [44] |
J. Als-Nielsen and D. McMorrow, Elements of Modern X-ray Physics (John Wiley & Sons Ltd., New York, 2011), p. 434.
|
| [45] |
T. Kluge, C. Gutt, L. G. Huang, J. Metzkes, U. Schramm et al., “Using x-ray free-electron lasers for probing of complex interaction dynamics of ultra-intense lasers with solid matter,” Phys. Plasmas 21, 033110 (2014).10.1063/1.4869331
|
| [46] |
G. Porod, “Small angle x-ray scattering,” in Proceedings of the Conference Held at Syracuse University (Gordon and Breach, New York, 1956).
|
| [47] | |
| [48] |
B. Fryxell, K. Olson, P. Ricker, F. X. Timmes, M. Zingale et al., “Flash: An adaptive mesh hydrodynamics code for modeling astrophysical thermonuclear flashes,” Astrophys. J., Suppl. Ser. 131, 273 (2000).10.1086/317361
|
| [49] |
J. J. Macfarlane, “IONMIX - A code for computing the equation of state and radiative properties of LTE and non-LTE plasmas,” Comput. Phys. Commun. 56, 259 (1989).10.1016/0010-4655(89)90023-4
|
| [50] |
P. Ordyna, C. Bähtz, E. Brambrink, M. Bussmann, A. Laso Garcia et al., “Visualizing plasmons and ultrafast kinetic instabilities in laser-driven solids using x-ray scattering,” Commun. Phys. 7, 296 (2024).10.1038/s42005-024-01776-6
|
| [51] |
H.-K. Chung, M. H. Chen, and R. W. Lee, “Extension of atomic configuration sets of the non-LTE model in the application to the kα diagnostics of hot dense matter,” High Energy Density Phys. 3, 57 (2007).10.1016/j.hedp.2007.02.001
|
| [52] |
A. Kramida, Y. Ralchenko, J. Reader, and NIST ASD Team, NIST Atomic Spectra Database (ver. 5.10), National Institute of Standards and Technology, Gaithersburg, MD, 2022, online available: https://physics.nist.gov/asd (31 January 2016).
|
| [53] |
N. Rohringer, D. Ryan, R. A. London, M. Purvis, F. Albert et al., “Atomic inner-shell x-ray laser at 1.46 nanometres pumped by an x-ray free-electron laser,” Nature 481, 488 (2012).10.1038/nature10721
|
| [54] |
H. Yoneda, Y. Inubushi, K. Nagamine, Y. Michine, H. Ohashi et al., “Atomic inner-shell laser at 1.5-ångström wavelength pumped by an x-ray free-electron laser,” Nature 524, 446 (2015).10.1038/nature14894
|
| [55] |
B. L. Henke, E. M. Gullikson, and J. C. Davis, “X-ray interactions: Photoabsorption, scattering, transmission, and reflection at e = 50–30 000 ev, z = 1–92,” At. Data Nucl. Data Tables 54, 181 (1993).10.1006/adnd.1993.1013
|
| [56] | |
| [57] |
D. S. Montgomery, “Invited article: X-ray phase contrast imaging in inertial confinement fusion and high energy density research,” Rev. Sci. Instrum. 94, 021103 (2023).10.1063/5.0127497
|
| [58] |
J. J. Santos, B. Vauzour, M. Touati, L. Gremillet, J.-L. Feugeas et al., “Isochoric heating and strong blast wave formation driven by fast electrons in solid-density targets,” New J. Phys. 19, 103005 (2017).10.1088/1367-2630/aa806b
|
| [59] |
J. W. Goodman, Introduction to Fourier Optics (Roberts and Company Publishers, 2015).
|
| [60] |
R. Celestre, S. Berujon, T. Roth, M. Sanchez del Rio, and R. Barrett, “Modelling phase imperfections in compound refractive lenses,” J. Synchrotron Radiat. 27, 305 (2020).10.1107/s1600577519017235
|
| [61] |
E. Galtier, H. J. Lee, D. Khaghani, N. Boiadjieva, P. McGehee et al., “X-ray microscopy and talbot imaging with the matter in extreme conditions x-ray imager at LCLS,” Sci. Rep. 15, 7588 (2025).10.1038/s41598-025-91989-8
|
| [62] |