• Matter and Radiation at Extremes
  • Vol. 8, Issue 1, 014404 (2023)
N. D. Bukharskii1, O. E. Vais2、b), Ph. A. Korneev1、2, and V. Yu. Bychenkov2
Author Affiliations
  • 1National Research Nuclear University MEPhI, Moscow, Russian Federation
  • 2P. N. Lebedev Physical Institute, Moscow, Russian Federation
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    DOI: 10.1063/5.0126571 Cite this Article
    N. D. Bukharskii, O. E. Vais, Ph. A. Korneev, V. Yu. Bychenkov. Restoration of the focal parameters for an extreme-power laser pulse with ponderomotively scattered proton spectra by using a neural network algorithm[J]. Matter and Radiation at Extremes, 2023, 8(1): 014404 Copy Citation Text show less
    References

    [1] C. N.Danson, N.Danson C., C.Haefner, J.Bromage, T.Butcher, F.Chanteloup J.-C., A.Chowdhury E., A.Galvanauskas, A.Gizzi L., J.Hein, I.Hillieret al. D., C.Haefner, N.Danson C., C.Haefner, J.Bromage, T.Butcher, F.Chanteloup J.-C., A.Chowdhury E., A.Galvanauskas, A.Gizzi L., J.Hein, I.Hillieret al. D., J.Bromage, N.Danson C., C.Haefner, J.Bromage, T.Butcher, F.Chanteloup J.-C., A.Chowdhury E., A.Galvanauskas, A.Gizzi L., J.Hein, I.Hillieret al. D., T.Butcher, N.Danson C., C.Haefner, J.Bromage, T.Butcher, F.Chanteloup J.-C., A.Chowdhury E., A.Galvanauskas, A.Gizzi L., J.Hein, I.Hillieret al. D., J.-C. F.Chanteloup, N.Danson C., C.Haefner, J.Bromage, T.Butcher, F.Chanteloup J.-C., A.Chowdhury E., A.Galvanauskas, A.Gizzi L., J.Hein, I.Hillieret al. D., E. A.Chowdhury, N.Danson C., C.Haefner, J.Bromage, T.Butcher, F.Chanteloup J.-C., A.Chowdhury E., A.Galvanauskas, A.Gizzi L., J.Hein, I.Hillieret al. D., A.Galvanauskas, N.Danson C., C.Haefner, J.Bromage, T.Butcher, F.Chanteloup J.-C., A.Chowdhury E., A.Galvanauskas, A.Gizzi L., J.Hein, I.Hillieret al. D., L. A.Gizzi, N.Danson C., C.Haefner, J.Bromage, T.Butcher, F.Chanteloup J.-C., A.Chowdhury E., A.Galvanauskas, A.Gizzi L., J.Hein, I.Hillieret al. D., J.Hein, N.Danson C., C.Haefner, J.Bromage, T.Butcher, F.Chanteloup J.-C., A.Chowdhury E., A.Galvanauskas, A.Gizzi L., J.Hein, I.Hillieret al. D., D. I.Hillieret?al.. Petawatt and exawatt class lasers worldwide. High Power Laser Sci. Eng., 7, E54(2019).

    [2] S.-W.Bahk, S.-W.Bahk, P.Rousseau, A.Planchon T., V.Chvykov, G.Kalintchenko, A.Maksimchuk, A.Mourou G., V.Yanovsky and, P.Rousseau, S.-W.Bahk, P.Rousseau, A.Planchon T., V.Chvykov, G.Kalintchenko, A.Maksimchuk, A.Mourou G., V.Yanovsky and, T. A.Planchon, S.-W.Bahk, P.Rousseau, A.Planchon T., V.Chvykov, G.Kalintchenko, A.Maksimchuk, A.Mourou G., V.Yanovsky and, V.Chvykov, S.-W.Bahk, P.Rousseau, A.Planchon T., V.Chvykov, G.Kalintchenko, A.Maksimchuk, A.Mourou G., V.Yanovsky and, G.Kalintchenko, S.-W.Bahk, P.Rousseau, A.Planchon T., V.Chvykov, G.Kalintchenko, A.Maksimchuk, A.Mourou G., V.Yanovsky and, A.Maksimchuk, S.-W.Bahk, P.Rousseau, A.Planchon T., V.Chvykov, G.Kalintchenko, A.Maksimchuk, A.Mourou G., V.Yanovsky and, G. A.Mourou, S.-W.Bahk, P.Rousseau, A.Planchon T., V.Chvykov, G.Kalintchenko, A.Maksimchuk, A.Mourou G., V.Yanovsky and, V.Yanovsky. Generation and characterization of the highest laser intensities (1022 W/cm2). Opt. Lett., 29, 2837-2839(2004).

    [3] V.Yanovsky, V.Yanovsky, V.Chvykov, G.Kalinchenko, P.Rousseau, T.Planchon, T.Matsuoka, A.Maksimchuk, J.Nees, G.Cheriaux, G.Mourou, K.Krushelnick and, V.Chvykov, V.Yanovsky, V.Chvykov, G.Kalinchenko, P.Rousseau, T.Planchon, T.Matsuoka, A.Maksimchuk, J.Nees, G.Cheriaux, G.Mourou, K.Krushelnick and, G.Kalinchenko, V.Yanovsky, V.Chvykov, G.Kalinchenko, P.Rousseau, T.Planchon, T.Matsuoka, A.Maksimchuk, J.Nees, G.Cheriaux, G.Mourou, K.Krushelnick and, P.Rousseau, V.Yanovsky, V.Chvykov, G.Kalinchenko, P.Rousseau, T.Planchon, T.Matsuoka, A.Maksimchuk, J.Nees, G.Cheriaux, G.Mourou, K.Krushelnick and, T.Planchon, V.Yanovsky, V.Chvykov, G.Kalinchenko, P.Rousseau, T.Planchon, T.Matsuoka, A.Maksimchuk, J.Nees, G.Cheriaux, G.Mourou, K.Krushelnick and, T.Matsuoka, V.Yanovsky, V.Chvykov, G.Kalinchenko, P.Rousseau, T.Planchon, T.Matsuoka, A.Maksimchuk, J.Nees, G.Cheriaux, G.Mourou, K.Krushelnick and, A.Maksimchuk, V.Yanovsky, V.Chvykov, G.Kalinchenko, P.Rousseau, T.Planchon, T.Matsuoka, A.Maksimchuk, J.Nees, G.Cheriaux, G.Mourou, K.Krushelnick and, J.Nees, V.Yanovsky, V.Chvykov, G.Kalinchenko, P.Rousseau, T.Planchon, T.Matsuoka, A.Maksimchuk, J.Nees, G.Cheriaux, G.Mourou, K.Krushelnick and, G.Cheriaux, V.Yanovsky, V.Chvykov, G.Kalinchenko, P.Rousseau, T.Planchon, T.Matsuoka, A.Maksimchuk, J.Nees, G.Cheriaux, G.Mourou, K.Krushelnick and, G.Mourou, V.Yanovsky, V.Chvykov, G.Kalinchenko, P.Rousseau, T.Planchon, T.Matsuoka, A.Maksimchuk, J.Nees, G.Cheriaux, G.Mourou, K.Krushelnick and, K.Krushelnick. Ultra-high intensity- 300-TW laser at 0.1 Hz repetition rate. Opt. Express, 16, 2109-2114(2008).

    [4] A. S.Pirozhkov, S.Pirozhkov A., Y.Fukuda, M.Nishiuchi, H.Kiriyama, A.Sagisaka, K.Ogura, M.Mori, M.Kishimoto, H.Sakaki, P.Dover N., K.Kondo, N.Nakanii, K.Huang, M.Kanasaki, K.Kondo, M.Kando and, Y.Fukuda, S.Pirozhkov A., Y.Fukuda, M.Nishiuchi, H.Kiriyama, A.Sagisaka, K.Ogura, M.Mori, M.Kishimoto, H.Sakaki, P.Dover N., K.Kondo, N.Nakanii, K.Huang, M.Kanasaki, K.Kondo, M.Kando and, M.Nishiuchi, S.Pirozhkov A., Y.Fukuda, M.Nishiuchi, H.Kiriyama, A.Sagisaka, K.Ogura, M.Mori, M.Kishimoto, H.Sakaki, P.Dover N., K.Kondo, N.Nakanii, K.Huang, M.Kanasaki, K.Kondo, M.Kando and, H.Kiriyama, S.Pirozhkov A., Y.Fukuda, M.Nishiuchi, H.Kiriyama, A.Sagisaka, K.Ogura, M.Mori, M.Kishimoto, H.Sakaki, P.Dover N., K.Kondo, N.Nakanii, K.Huang, M.Kanasaki, K.Kondo, M.Kando and, A.Sagisaka, S.Pirozhkov A., Y.Fukuda, M.Nishiuchi, H.Kiriyama, A.Sagisaka, K.Ogura, M.Mori, M.Kishimoto, H.Sakaki, P.Dover N., K.Kondo, N.Nakanii, K.Huang, M.Kanasaki, K.Kondo, M.Kando and, K.Ogura, S.Pirozhkov A., Y.Fukuda, M.Nishiuchi, H.Kiriyama, A.Sagisaka, K.Ogura, M.Mori, M.Kishimoto, H.Sakaki, P.Dover N., K.Kondo, N.Nakanii, K.Huang, M.Kanasaki, K.Kondo, M.Kando and, M.Mori, S.Pirozhkov A., Y.Fukuda, M.Nishiuchi, H.Kiriyama, A.Sagisaka, K.Ogura, M.Mori, M.Kishimoto, H.Sakaki, P.Dover N., K.Kondo, N.Nakanii, K.Huang, M.Kanasaki, K.Kondo, M.Kando and, M.Kishimoto, S.Pirozhkov A., Y.Fukuda, M.Nishiuchi, H.Kiriyama, A.Sagisaka, K.Ogura, M.Mori, M.Kishimoto, H.Sakaki, P.Dover N., K.Kondo, N.Nakanii, K.Huang, M.Kanasaki, K.Kondo, M.Kando and, H.Sakaki, S.Pirozhkov A., Y.Fukuda, M.Nishiuchi, H.Kiriyama, A.Sagisaka, K.Ogura, M.Mori, M.Kishimoto, H.Sakaki, P.Dover N., K.Kondo, N.Nakanii, K.Huang, M.Kanasaki, K.Kondo, M.Kando and, N. P.Dover, S.Pirozhkov A., Y.Fukuda, M.Nishiuchi, H.Kiriyama, A.Sagisaka, K.Ogura, M.Mori, M.Kishimoto, H.Sakaki, P.Dover N., K.Kondo, N.Nakanii, K.Huang, M.Kanasaki, K.Kondo, M.Kando and, K.Kondo, S.Pirozhkov A., Y.Fukuda, M.Nishiuchi, H.Kiriyama, A.Sagisaka, K.Ogura, M.Mori, M.Kishimoto, H.Sakaki, P.Dover N., K.Kondo, N.Nakanii, K.Huang, M.Kanasaki, K.Kondo, M.Kando and, N.Nakanii, S.Pirozhkov A., Y.Fukuda, M.Nishiuchi, H.Kiriyama, A.Sagisaka, K.Ogura, M.Mori, M.Kishimoto, H.Sakaki, P.Dover N., K.Kondo, N.Nakanii, K.Huang, M.Kanasaki, K.Kondo, M.Kando and, K.Huang, S.Pirozhkov A., Y.Fukuda, M.Nishiuchi, H.Kiriyama, A.Sagisaka, K.Ogura, M.Mori, M.Kishimoto, H.Sakaki, P.Dover N., K.Kondo, N.Nakanii, K.Huang, M.Kanasaki, K.Kondo, M.Kando and, M.Kanasaki, S.Pirozhkov A., Y.Fukuda, M.Nishiuchi, H.Kiriyama, A.Sagisaka, K.Ogura, M.Mori, M.Kishimoto, H.Sakaki, P.Dover N., K.Kondo, N.Nakanii, K.Huang, M.Kanasaki, K.Kondo, M.Kando and, K.Kondo, S.Pirozhkov A., Y.Fukuda, M.Nishiuchi, H.Kiriyama, A.Sagisaka, K.Ogura, M.Mori, M.Kishimoto, H.Sakaki, P.Dover N., K.Kondo, N.Nakanii, K.Huang, M.Kanasaki, K.Kondo, M.Kando and, M.Kando. Approaching the diffraction-limited, bandwidth-limited petawatt. Opt. Express, 25, 20486-20501(2017).

    [5] G.Tiwari, G.Tiwari, E.Gaul, M.Martinez, G.Dyer, J.Gordon, M.Spinks, T.Toncian, B.Bowers, X.Jiao, R.Kupfer, L.Lisi, E.McCary, R.Roycroft, A.Yandow, D.Glenn G., M.Donovan, T.Ditmire, B. and, E.Gaul, G.Tiwari, E.Gaul, M.Martinez, G.Dyer, J.Gordon, M.Spinks, T.Toncian, B.Bowers, X.Jiao, R.Kupfer, L.Lisi, E.McCary, R.Roycroft, A.Yandow, D.Glenn G., M.Donovan, T.Ditmire, B. and, M.Martinez, G.Tiwari, E.Gaul, M.Martinez, G.Dyer, J.Gordon, M.Spinks, T.Toncian, B.Bowers, X.Jiao, R.Kupfer, L.Lisi, E.McCary, R.Roycroft, A.Yandow, D.Glenn G., M.Donovan, T.Ditmire, B. and, G.Dyer, G.Tiwari, E.Gaul, M.Martinez, G.Dyer, J.Gordon, M.Spinks, T.Toncian, B.Bowers, X.Jiao, R.Kupfer, L.Lisi, E.McCary, R.Roycroft, A.Yandow, D.Glenn G., M.Donovan, T.Ditmire, B. and, J.Gordon, G.Tiwari, E.Gaul, M.Martinez, G.Dyer, J.Gordon, M.Spinks, T.Toncian, B.Bowers, X.Jiao, R.Kupfer, L.Lisi, E.McCary, R.Roycroft, A.Yandow, D.Glenn G., M.Donovan, T.Ditmire, B. and, M.Spinks, G.Tiwari, E.Gaul, M.Martinez, G.Dyer, J.Gordon, M.Spinks, T.Toncian, B.Bowers, X.Jiao, R.Kupfer, L.Lisi, E.McCary, R.Roycroft, A.Yandow, D.Glenn G., M.Donovan, T.Ditmire, B. and, T.Toncian, G.Tiwari, E.Gaul, M.Martinez, G.Dyer, J.Gordon, M.Spinks, T.Toncian, B.Bowers, X.Jiao, R.Kupfer, L.Lisi, E.McCary, R.Roycroft, A.Yandow, D.Glenn G., M.Donovan, T.Ditmire, B. and, B.Bowers, G.Tiwari, E.Gaul, M.Martinez, G.Dyer, J.Gordon, M.Spinks, T.Toncian, B.Bowers, X.Jiao, R.Kupfer, L.Lisi, E.McCary, R.Roycroft, A.Yandow, D.Glenn G., M.Donovan, T.Ditmire, B. and, X.Jiao, G.Tiwari, E.Gaul, M.Martinez, G.Dyer, J.Gordon, M.Spinks, T.Toncian, B.Bowers, X.Jiao, R.Kupfer, L.Lisi, E.McCary, R.Roycroft, A.Yandow, D.Glenn G., M.Donovan, T.Ditmire, B. and, R.Kupfer, G.Tiwari, E.Gaul, M.Martinez, G.Dyer, J.Gordon, M.Spinks, T.Toncian, B.Bowers, X.Jiao, R.Kupfer, L.Lisi, E.McCary, R.Roycroft, A.Yandow, D.Glenn G., M.Donovan, T.Ditmire, B. and, L.Lisi, G.Tiwari, E.Gaul, M.Martinez, G.Dyer, J.Gordon, M.Spinks, T.Toncian, B.Bowers, X.Jiao, R.Kupfer, L.Lisi, E.McCary, R.Roycroft, A.Yandow, D.Glenn G., M.Donovan, T.Ditmire, B. and, E.McCary, G.Tiwari, E.Gaul, M.Martinez, G.Dyer, J.Gordon, M.Spinks, T.Toncian, B.Bowers, X.Jiao, R.Kupfer, L.Lisi, E.McCary, R.Roycroft, A.Yandow, D.Glenn G., M.Donovan, T.Ditmire, B. and, R.Roycroft, G.Tiwari, E.Gaul, M.Martinez, G.Dyer, J.Gordon, M.Spinks, T.Toncian, B.Bowers, X.Jiao, R.Kupfer, L.Lisi, E.McCary, R.Roycroft, A.Yandow, D.Glenn G., M.Donovan, T.Ditmire, B. and, A.Yandow, G.Tiwari, E.Gaul, M.Martinez, G.Dyer, J.Gordon, M.Spinks, T.Toncian, B.Bowers, X.Jiao, R.Kupfer, L.Lisi, E.McCary, R.Roycroft, A.Yandow, D.Glenn G., M.Donovan, T.Ditmire, B. and, G. D.Glenn, G.Tiwari, E.Gaul, M.Martinez, G.Dyer, J.Gordon, M.Spinks, T.Toncian, B.Bowers, X.Jiao, R.Kupfer, L.Lisi, E.McCary, R.Roycroft, A.Yandow, D.Glenn G., M.Donovan, T.Ditmire, B. and, M.Donovan, G.Tiwari, E.Gaul, M.Martinez, G.Dyer, J.Gordon, M.Spinks, T.Toncian, B.Bowers, X.Jiao, R.Kupfer, L.Lisi, E.McCary, R.Roycroft, A.Yandow, D.Glenn G., M.Donovan, T.Ditmire, B. and, T.Ditmire, G.Tiwari, E.Gaul, M.Martinez, G.Dyer, J.Gordon, M.Spinks, T.Toncian, B.Bowers, X.Jiao, R.Kupfer, L.Lisi, E.McCary, R.Roycroft, A.Yandow, D.Glenn G., M.Donovan, T.Ditmire, B. and, B. M.Hegelich. Beam distortion effects upon focusing an ultrashort petawatt laser pulse to greater than 1022 W/cm2. Opt. Lett., 44, 2764-2767(2019).

    [6] J. W.Yoon, W.Yoon J., C.Jeon, J.Shin, K.Lee S., W.Lee H., W.Choi I., T.Kim H., H.Sung J., C. and, C.Jeon, W.Yoon J., C.Jeon, J.Shin, K.Lee S., W.Lee H., W.Choi I., T.Kim H., H.Sung J., C. and, J.Shin, W.Yoon J., C.Jeon, J.Shin, K.Lee S., W.Lee H., W.Choi I., T.Kim H., H.Sung J., C. and, S. K.Lee, W.Yoon J., C.Jeon, J.Shin, K.Lee S., W.Lee H., W.Choi I., T.Kim H., H.Sung J., C. and, H. W.Lee, W.Yoon J., C.Jeon, J.Shin, K.Lee S., W.Lee H., W.Choi I., T.Kim H., H.Sung J., C. and, I. W.Choi, W.Yoon J., C.Jeon, J.Shin, K.Lee S., W.Lee H., W.Choi I., T.Kim H., H.Sung J., C. and, H. T.Kim, W.Yoon J., C.Jeon, J.Shin, K.Lee S., W.Lee H., W.Choi I., T.Kim H., H.Sung J., C. and, J. H.Sung, W.Yoon J., C.Jeon, J.Shin, K.Lee S., W.Lee H., W.Choi I., T.Kim H., H.Sung J., C. and, C. H.Nam. Achieving the laser intensity of 5.5 × 1022 W/cm2 with a wavefront-corrected multi-PW laser. Opt. Express, 27, 20412-20420(2019).

    [7] Z.Guo, Z.Guo, L.Yu, J.Wang, C.Wang, Y.Liu, Z.Gan, W.Li, Y.Leng, X.Liang, R.Li and, L.Yu, Z.Guo, L.Yu, J.Wang, C.Wang, Y.Liu, Z.Gan, W.Li, Y.Leng, X.Liang, R.Li and, J.Wang, Z.Guo, L.Yu, J.Wang, C.Wang, Y.Liu, Z.Gan, W.Li, Y.Leng, X.Liang, R.Li and, C.Wang, Z.Guo, L.Yu, J.Wang, C.Wang, Y.Liu, Z.Gan, W.Li, Y.Leng, X.Liang, R.Li and, Y.Liu, Z.Guo, L.Yu, J.Wang, C.Wang, Y.Liu, Z.Gan, W.Li, Y.Leng, X.Liang, R.Li and, Z.Gan, Z.Guo, L.Yu, J.Wang, C.Wang, Y.Liu, Z.Gan, W.Li, Y.Leng, X.Liang, R.Li and, W.Li, Z.Guo, L.Yu, J.Wang, C.Wang, Y.Liu, Z.Gan, W.Li, Y.Leng, X.Liang, R.Li and, Y.Leng, Z.Guo, L.Yu, J.Wang, C.Wang, Y.Liu, Z.Gan, W.Li, Y.Leng, X.Liang, R.Li and, X.Liang, Z.Guo, L.Yu, J.Wang, C.Wang, Y.Liu, Z.Gan, W.Li, Y.Leng, X.Liang, R.Li and, R.Li. Improvement of the focusing ability by double deformable mirrors for 10-PW-level Ti: Sapphire chirped pulse amplification laser system. Opt. Express, 26, 26776-26786(2018).

    [8] J. W.Yoon, W.Yoon J., G.Kim Y., W.Choi I., H.Sung J., W.Lee H., K.Lee S., C. and, Y. G.Kim, W.Yoon J., G.Kim Y., W.Choi I., H.Sung J., W.Lee H., K.Lee S., C. and, I. W.Choi, W.Yoon J., G.Kim Y., W.Choi I., H.Sung J., W.Lee H., K.Lee S., C. and, J. H.Sung, W.Yoon J., G.Kim Y., W.Choi I., H.Sung J., W.Lee H., K.Lee S., C. and, H. W.Lee, W.Yoon J., G.Kim Y., W.Choi I., H.Sung J., W.Lee H., K.Lee S., C. and, S. K.Lee, W.Yoon J., G.Kim Y., W.Choi I., H.Sung J., W.Lee H., K.Lee S., C. and, C. H.Nam. Realization of laser intensity over 1023 W/cm2. Optica, 8, 630-635(2021).

    [9] E. A.Chowdhury, A.Chowdhury E., P. C., B. and, C. P. J.Barty, A.Chowdhury E., P. C., B. and, B. C.Walker. Nonrelativistic’ ionization of the L-shell states in argon by a ‘relativistic’ 1019 W/cm2 laser field. Phys. Rev. A, 63, 042712(2001).

    [10] K.Yamakawa, K.Yamakawa, Y.Akahane, Y.Fukuda, M.Aoyama, N.Inoue, H.Ueda and, Y.Akahane, K.Yamakawa, Y.Akahane, Y.Fukuda, M.Aoyama, N.Inoue, H.Ueda and, Y.Fukuda, K.Yamakawa, Y.Akahane, Y.Fukuda, M.Aoyama, N.Inoue, H.Ueda and, M.Aoyama, K.Yamakawa, Y.Akahane, Y.Fukuda, M.Aoyama, N.Inoue, H.Ueda and, N.Inoue, K.Yamakawa, Y.Akahane, Y.Fukuda, M.Aoyama, N.Inoue, H.Ueda and, H.Ueda. Ionization of many-electron atoms by ultrafast laser pulses with peak intensities greater than 1019 W/cm2. Phys. Rev. A, 68, 065403(2003).

    [11] M. F.Ciappina, F.Ciappina M., V.Popruzhenko S., V.Bulanov S., T.Ditmire, G.Korn, S.Weber and, S. V.Popruzhenko, F.Ciappina M., V.Popruzhenko S., V.Bulanov S., T.Ditmire, G.Korn, S.Weber and, S. V.Bulanov, F.Ciappina M., V.Popruzhenko S., V.Bulanov S., T.Ditmire, G.Korn, S.Weber and, T.Ditmire, F.Ciappina M., V.Popruzhenko S., V.Bulanov S., T.Ditmire, G.Korn, S.Weber and, G.Korn, F.Ciappina M., V.Popruzhenko S., V.Bulanov S., T.Ditmire, G.Korn, S.Weber and, S.Weber. Progress toward atomic diagnostics of ultrahigh laser intensities. Phys. Rev. A, 99, 043405(2019).

    [12] O.Har-Shemesh, and O.Har-Shemesh, A.Di Piazza. Peak intensity measurement of relativistic lasers via nonlinear Thomson scattering. Opt. Lett., 37, 1352-1354(2012).

    [13] W.Yan, W.Yan, C.Fruhling, G.Golovin, D.Haden, J.Luo, P.Zhang, B.Zhao, J.Zhang, C.Liu, M.Chen, S.Chen, S.Banerjee, D.Umstadter and, C.Fruhling, W.Yan, C.Fruhling, G.Golovin, D.Haden, J.Luo, P.Zhang, B.Zhao, J.Zhang, C.Liu, M.Chen, S.Chen, S.Banerjee, D.Umstadter and, G.Golovin, W.Yan, C.Fruhling, G.Golovin, D.Haden, J.Luo, P.Zhang, B.Zhao, J.Zhang, C.Liu, M.Chen, S.Chen, S.Banerjee, D.Umstadter and, D.Haden, W.Yan, C.Fruhling, G.Golovin, D.Haden, J.Luo, P.Zhang, B.Zhao, J.Zhang, C.Liu, M.Chen, S.Chen, S.Banerjee, D.Umstadter and, J.Luo, W.Yan, C.Fruhling, G.Golovin, D.Haden, J.Luo, P.Zhang, B.Zhao, J.Zhang, C.Liu, M.Chen, S.Chen, S.Banerjee, D.Umstadter and, P.Zhang, W.Yan, C.Fruhling, G.Golovin, D.Haden, J.Luo, P.Zhang, B.Zhao, J.Zhang, C.Liu, M.Chen, S.Chen, S.Banerjee, D.Umstadter and, B.Zhao, W.Yan, C.Fruhling, G.Golovin, D.Haden, J.Luo, P.Zhang, B.Zhao, J.Zhang, C.Liu, M.Chen, S.Chen, S.Banerjee, D.Umstadter and, J.Zhang, W.Yan, C.Fruhling, G.Golovin, D.Haden, J.Luo, P.Zhang, B.Zhao, J.Zhang, C.Liu, M.Chen, S.Chen, S.Banerjee, D.Umstadter and, C.Liu, W.Yan, C.Fruhling, G.Golovin, D.Haden, J.Luo, P.Zhang, B.Zhao, J.Zhang, C.Liu, M.Chen, S.Chen, S.Banerjee, D.Umstadter and, M.Chen, W.Yan, C.Fruhling, G.Golovin, D.Haden, J.Luo, P.Zhang, B.Zhao, J.Zhang, C.Liu, M.Chen, S.Chen, S.Banerjee, D.Umstadter and, S.Chen, W.Yan, C.Fruhling, G.Golovin, D.Haden, J.Luo, P.Zhang, B.Zhao, J.Zhang, C.Liu, M.Chen, S.Chen, S.Banerjee, D.Umstadter and, S.Banerjee, W.Yan, C.Fruhling, G.Golovin, D.Haden, J.Luo, P.Zhang, B.Zhao, J.Zhang, C.Liu, M.Chen, S.Chen, S.Banerjee, D.Umstadter and, D.Umstadter. High-order multiphoton Thomson scattering. Nat. Photonics, 11, 514-520(2017).

    [14] J. M.Kr?mer, M.Krämer J., A.Jochmann, M.Budde, M.Bussmann, P.Couperus J., E.Cowan T., A.Debus, A.K?hler, M.Kuntzsch, García A.Laso, U.Lehnert, P.Michel, R.Pausch, O.Zarini, U.Schramm, A.Irman and, A.Jochmann, M.Krämer J., A.Jochmann, M.Budde, M.Bussmann, P.Couperus J., E.Cowan T., A.Debus, A.K?hler, M.Kuntzsch, García A.Laso, U.Lehnert, P.Michel, R.Pausch, O.Zarini, U.Schramm, A.Irman and, M.Budde, M.Krämer J., A.Jochmann, M.Budde, M.Bussmann, P.Couperus J., E.Cowan T., A.Debus, A.K?hler, M.Kuntzsch, García A.Laso, U.Lehnert, P.Michel, R.Pausch, O.Zarini, U.Schramm, A.Irman and, M.Bussmann, M.Krämer J., A.Jochmann, M.Budde, M.Bussmann, P.Couperus J., E.Cowan T., A.Debus, A.K?hler, M.Kuntzsch, García A.Laso, U.Lehnert, P.Michel, R.Pausch, O.Zarini, U.Schramm, A.Irman and, J. P.Couperus, M.Krämer J., A.Jochmann, M.Budde, M.Bussmann, P.Couperus J., E.Cowan T., A.Debus, A.K?hler, M.Kuntzsch, García A.Laso, U.Lehnert, P.Michel, R.Pausch, O.Zarini, U.Schramm, A.Irman and, T. E.Cowan, M.Krämer J., A.Jochmann, M.Budde, M.Bussmann, P.Couperus J., E.Cowan T., A.Debus, A.K?hler, M.Kuntzsch, García A.Laso, U.Lehnert, P.Michel, R.Pausch, O.Zarini, U.Schramm, A.Irman and, A.Debus, M.Krämer J., A.Jochmann, M.Budde, M.Bussmann, P.Couperus J., E.Cowan T., A.Debus, A.K?hler, M.Kuntzsch, García A.Laso, U.Lehnert, P.Michel, R.Pausch, O.Zarini, U.Schramm, A.Irman and, A.K?hler, M.Krämer J., A.Jochmann, M.Budde, M.Bussmann, P.Couperus J., E.Cowan T., A.Debus, A.K?hler, M.Kuntzsch, García A.Laso, U.Lehnert, P.Michel, R.Pausch, O.Zarini, U.Schramm, A.Irman and, M.Kuntzsch, M.Krämer J., A.Jochmann, M.Budde, M.Bussmann, P.Couperus J., E.Cowan T., A.Debus, A.K?hler, M.Kuntzsch, García A.Laso, U.Lehnert, P.Michel, R.Pausch, O.Zarini, U.Schramm, A.Irman and, A.Laso García, M.Krämer J., A.Jochmann, M.Budde, M.Bussmann, P.Couperus J., E.Cowan T., A.Debus, A.K?hler, M.Kuntzsch, García A.Laso, U.Lehnert, P.Michel, R.Pausch, O.Zarini, U.Schramm, A.Irman and, U.Lehnert, M.Krämer J., A.Jochmann, M.Budde, M.Bussmann, P.Couperus J., E.Cowan T., A.Debus, A.K?hler, M.Kuntzsch, García A.Laso, U.Lehnert, P.Michel, R.Pausch, O.Zarini, U.Schramm, A.Irman and, P.Michel, M.Krämer J., A.Jochmann, M.Budde, M.Bussmann, P.Couperus J., E.Cowan T., A.Debus, A.K?hler, M.Kuntzsch, García A.Laso, U.Lehnert, P.Michel, R.Pausch, O.Zarini, U.Schramm, A.Irman and, R.Pausch, M.Krämer J., A.Jochmann, M.Budde, M.Bussmann, P.Couperus J., E.Cowan T., A.Debus, A.K?hler, M.Kuntzsch, García A.Laso, U.Lehnert, P.Michel, R.Pausch, O.Zarini, U.Schramm, A.Irman and, O.Zarini, M.Krämer J., A.Jochmann, M.Budde, M.Bussmann, P.Couperus J., E.Cowan T., A.Debus, A.K?hler, M.Kuntzsch, García A.Laso, U.Lehnert, P.Michel, R.Pausch, O.Zarini, U.Schramm, A.Irman and, U.Schramm, M.Krämer J., A.Jochmann, M.Budde, M.Bussmann, P.Couperus J., E.Cowan T., A.Debus, A.K?hler, M.Kuntzsch, García A.Laso, U.Lehnert, P.Michel, R.Pausch, O.Zarini, U.Schramm, A.Irman and, A.Irman. Making spectral shape measurements in inverse Compton scattering a tool for advanced diagnostic applications. Sci. Rep., 8, 1398(2018).

    [15] O. E.Vais, E.Vais O., G.Bochkarev S., V. and, S. G.Bochkarev, E.Vais O., G.Bochkarev S., V. and, V. Y.Bychenkov. Nonlinear Thomson scattering of a relativistically strong tightly focused ultrashort laser pulse. Plasma Phys. Rep., 42, 818-833(2016).

    [16] C. Z.He, Z.He C., A.Longman, A.Pérez-Hernández J., Marco M.de, C.Salgado, G.Zeraouli, G.Gatti, L.Roso, R.Fedosejevs, W. and, A.Longman, Z.He C., A.Longman, A.Pérez-Hernández J., Marco M.de, C.Salgado, G.Zeraouli, G.Gatti, L.Roso, R.Fedosejevs, W. and, J. A.Pérez-Hernández, Z.He C., A.Longman, A.Pérez-Hernández J., Marco M.de, C.Salgado, G.Zeraouli, G.Gatti, L.Roso, R.Fedosejevs, W. and, M.de Marco, Z.He C., A.Longman, A.Pérez-Hernández J., Marco M.de, C.Salgado, G.Zeraouli, G.Gatti, L.Roso, R.Fedosejevs, W. and, C.Salgado, Z.He C., A.Longman, A.Pérez-Hernández J., Marco M.de, C.Salgado, G.Zeraouli, G.Gatti, L.Roso, R.Fedosejevs, W. and, G.Zeraouli, Z.He C., A.Longman, A.Pérez-Hernández J., Marco M.de, C.Salgado, G.Zeraouli, G.Gatti, L.Roso, R.Fedosejevs, W. and, G.Gatti, Z.He C., A.Longman, A.Pérez-Hernández J., Marco M.de, C.Salgado, G.Zeraouli, G.Gatti, L.Roso, R.Fedosejevs, W. and, L.Roso, Z.He C., A.Longman, A.Pérez-Hernández J., Marco M.de, C.Salgado, G.Zeraouli, G.Gatti, L.Roso, R.Fedosejevs, W. and, R.Fedosejevs, Z.He C., A.Longman, A.Pérez-Hernández J., Marco M.de, C.Salgado, G.Zeraouli, G.Gatti, L.Roso, R.Fedosejevs, W. and, W. T.Hill. Towards an in situ, full-power gauge of the focal-volume intensity of petawatt-class lasers. Opt. Express, 27, 30020-30030(2019).

    [17] O. E.Vais, E.Vais O., V. Y.Bychenkov. Nonlinear Thomson scattering of a tightly focused relativistically intense laser pulse by an ensemble of particles. Quantum Electron., 50, 922-928(2020).

    [18] F.Mackenroth, and F.Mackenroth, A. R.Holkundkar. Determining the duration of an ultra-intense laser pulse directly in its focus. Sci. Rep., 9, 19607(2019).

    [19] C. N.Harvey. In situ characterization of ultraintense laser pulses. Phys. Rev. Accel. Beams, 21, 114001(2018).

    [20] I. A.Aleksandrov, A.Aleksandrov I., A. A.Andreev. Pair production seeded by electrons in noble gases as a method for laser intensity diagnostics. Phys. Rev. A, 104, 052801(2021).

    [21] F.Mackenroth, F.Mackenroth, R.Holkundkar A., H.-P.Schlenvoigt and, A. R.Holkundkar, F.Mackenroth, R.Holkundkar A., H.-P.Schlenvoigt and, H.-P.Schlenvoigt. Ultra-intense laser pulse characterization using ponderomotive electron scattering. New J. Phys., 21, 123028(2019).

    [22] S. X.Hu, X.Hu S., A. F.Starace. GeV electrons from ultraintense laser interaction with highly charged ions. Phys. Rev. Lett., 88, 245003(2002).

    [23] A.Maltsev, and A.Maltsev, T.Ditmire. Above threshold ionization in tightly focused, strongly relativistic laser fields. Phys. Rev. Lett., 90, 053002(2003).

    [24] A. L.Galkin, L.Galkin A., P.Kalashnikov M., K.Klinkov V., V.Korobkin V., Y.Romanovsky M., O. and, M. P.Kalashnikov, L.Galkin A., P.Kalashnikov M., K.Klinkov V., V.Korobkin V., Y.Romanovsky M., O. and, V. K.Klinkov, L.Galkin A., P.Kalashnikov M., K.Klinkov V., V.Korobkin V., Y.Romanovsky M., O. and, V. V.Korobkin, L.Galkin A., P.Kalashnikov M., K.Klinkov V., V.Korobkin V., Y.Romanovsky M., O. and, M. Y.Romanovsky, L.Galkin A., P.Kalashnikov M., K.Klinkov V., V.Korobkin V., Y.Romanovsky M., O. and, O. B.Shiryaev. Electrodynamics of electron in a superintense laser field: New principles of diagnostics of relativistic laser intensity. Phys. Plasmas, 17, 053105(2010).

    [25] M.Kalashnikov, M.Kalashnikov, A.Andreev, K.Ivanov, A.Galkin, V.Korobkin, M.Romanovsky, O.Shiryaev, M.Schnuerer, J.Braenzel, V.Trofimovet?al., A.Andreev, M.Kalashnikov, A.Andreev, K.Ivanov, A.Galkin, V.Korobkin, M.Romanovsky, O.Shiryaev, M.Schnuerer, J.Braenzel, V.Trofimovet?al., K.Ivanov, M.Kalashnikov, A.Andreev, K.Ivanov, A.Galkin, V.Korobkin, M.Romanovsky, O.Shiryaev, M.Schnuerer, J.Braenzel, V.Trofimovet?al., A.Galkin, M.Kalashnikov, A.Andreev, K.Ivanov, A.Galkin, V.Korobkin, M.Romanovsky, O.Shiryaev, M.Schnuerer, J.Braenzel, V.Trofimovet?al., V.Korobkin, M.Kalashnikov, A.Andreev, K.Ivanov, A.Galkin, V.Korobkin, M.Romanovsky, O.Shiryaev, M.Schnuerer, J.Braenzel, V.Trofimovet?al., M.Romanovsky, M.Kalashnikov, A.Andreev, K.Ivanov, A.Galkin, V.Korobkin, M.Romanovsky, O.Shiryaev, M.Schnuerer, J.Braenzel, V.Trofimovet?al., O.Shiryaev, M.Kalashnikov, A.Andreev, K.Ivanov, A.Galkin, V.Korobkin, M.Romanovsky, O.Shiryaev, M.Schnuerer, J.Braenzel, V.Trofimovet?al., M.Schnuerer, M.Kalashnikov, A.Andreev, K.Ivanov, A.Galkin, V.Korobkin, M.Romanovsky, O.Shiryaev, M.Schnuerer, J.Braenzel, V.Trofimovet?al., J.Braenzel, M.Kalashnikov, A.Andreev, K.Ivanov, A.Galkin, V.Korobkin, M.Romanovsky, O.Shiryaev, M.Schnuerer, J.Braenzel, V.Trofimovet?al., V.Trofimovet?al.. Diagnostics of peak laser intensity based on the measurement of energy of electrons emitted from laser focal region. Laser Part. Beams, 33, 361-366(2015).

    [26] K. A.Ivanov, A.Ivanov K., N.Tsymbalov I., E.Vais O., G.Bochkarev S., V.Volkov R., Y.Bychenkov V., A. and, I. N.Tsymbalov, A.Ivanov K., N.Tsymbalov I., E.Vais O., G.Bochkarev S., V.Volkov R., Y.Bychenkov V., A. and, O. E.Vais, A.Ivanov K., N.Tsymbalov I., E.Vais O., G.Bochkarev S., V.Volkov R., Y.Bychenkov V., A. and, S. G.Bochkarev, A.Ivanov K., N.Tsymbalov I., E.Vais O., G.Bochkarev S., V.Volkov R., Y.Bychenkov V., A. and, R. V.Volkov, A.Ivanov K., N.Tsymbalov I., E.Vais O., G.Bochkarev S., V.Volkov R., Y.Bychenkov V., A. and, V. Y.Bychenkov, A.Ivanov K., N.Tsymbalov I., E.Vais O., G.Bochkarev S., V.Volkov R., Y.Bychenkov V., A. and, A. B.Savel’ev. Accelerated electrons for in situ peak intensity monitoring of tightly focused femtosecond laser radiation at high intensities. Plasma Phys. Controlled Fusion, 60, 105011(2018).

    [27] O. E.Vais, E.Vais O., G.Bochkarev S., S.Ter-Avetisyan, V. and, S. G.Bochkarev, E.Vais O., G.Bochkarev S., S.Ter-Avetisyan, V. and, S.Ter-Avetisyan, E.Vais O., G.Bochkarev S., S.Ter-Avetisyan, V. and, V. Y.Bychenkov. Angular distribution of electrons directly accelerated by an intense tightly focused laser pulse. Quantum Electron., 47, 38-41(2017).

    [28] O. E.Vais, E.Vais O., V. Y.Bychenkov. Direct electron acceleration for diagnostics of a laser pulse focused by an off-axis parabolic mirror. Appl. Phys. B, 124, 211(2018).

    [29] O. E.Vais, E.Vais O., G. A., M.Maksimchuk A., K.Krushelnick, V. and, A. G. R.Thomas, E.Vais O., G. A., M.Maksimchuk A., K.Krushelnick, V. and, A. M.Maksimchuk, E.Vais O., G. A., M.Maksimchuk A., K.Krushelnick, V. and, K.Krushelnick, E.Vais O., G. A., M.Maksimchuk A., K.Krushelnick, V. and, V. Y.Bychenkov. Characterizing extreme laser intensities by ponderomotive acceleration of protons from rarified gas. New J. Phys., 22, 023003(2020).

    [30] O. E.Vais, E.Vais O., V. Y.Bychenkov. Complementary diagnostics of high-intensity femtosecond laser pulses via vacuum acceleration of protons and electrons. Plasma Phys. Controlled Fusion, 63, 014002(2020).

    [31] M. F.Ciappina, F.Ciappina M., E.Peganov E., S. and, E. E.Peganov, F.Ciappina M., E.Peganov E., S. and, S. V.Popruzhenko. Focal-shape effects on the efficiency of the tunnel-ionization probe for extreme laser intensities. Matter Radiat. Extremes, 5, 044401(2020).

    [32] O.Russakovsky, O.Russakovsky, J.Deng, H.Su, J.Krause, S.Satheesh, S.Ma, Z.Huang, A.Karpathy, A.Khosla, M.Bernstein, C.Berg A., L.Fei-Fei and, J.Deng, O.Russakovsky, J.Deng, H.Su, J.Krause, S.Satheesh, S.Ma, Z.Huang, A.Karpathy, A.Khosla, M.Bernstein, C.Berg A., L.Fei-Fei and, H.Su, O.Russakovsky, J.Deng, H.Su, J.Krause, S.Satheesh, S.Ma, Z.Huang, A.Karpathy, A.Khosla, M.Bernstein, C.Berg A., L.Fei-Fei and, J.Krause, O.Russakovsky, J.Deng, H.Su, J.Krause, S.Satheesh, S.Ma, Z.Huang, A.Karpathy, A.Khosla, M.Bernstein, C.Berg A., L.Fei-Fei and, S.Satheesh, O.Russakovsky, J.Deng, H.Su, J.Krause, S.Satheesh, S.Ma, Z.Huang, A.Karpathy, A.Khosla, M.Bernstein, C.Berg A., L.Fei-Fei and, S.Ma, O.Russakovsky, J.Deng, H.Su, J.Krause, S.Satheesh, S.Ma, Z.Huang, A.Karpathy, A.Khosla, M.Bernstein, C.Berg A., L.Fei-Fei and, Z.Huang, O.Russakovsky, J.Deng, H.Su, J.Krause, S.Satheesh, S.Ma, Z.Huang, A.Karpathy, A.Khosla, M.Bernstein, C.Berg A., L.Fei-Fei and, A.Karpathy, O.Russakovsky, J.Deng, H.Su, J.Krause, S.Satheesh, S.Ma, Z.Huang, A.Karpathy, A.Khosla, M.Bernstein, C.Berg A., L.Fei-Fei and, A.Khosla, O.Russakovsky, J.Deng, H.Su, J.Krause, S.Satheesh, S.Ma, Z.Huang, A.Karpathy, A.Khosla, M.Bernstein, C.Berg A., L.Fei-Fei and, M.Bernstein, O.Russakovsky, J.Deng, H.Su, J.Krause, S.Satheesh, S.Ma, Z.Huang, A.Karpathy, A.Khosla, M.Bernstein, C.Berg A., L.Fei-Fei and, A. C.Berg, O.Russakovsky, J.Deng, H.Su, J.Krause, S.Satheesh, S.Ma, Z.Huang, A.Karpathy, A.Khosla, M.Bernstein, C.Berg A., L.Fei-Fei and, L.Fei-Fei. ImageNet large scale visual recognition challenge. Int. J. Comput. Vis, 115, 211-252(2015).

    [33] R.Yamashita, R.Yamashita, M.Nishio, K. R., K.Togashi and, M.Nishio, R.Yamashita, M.Nishio, K. R., K.Togashi and, R. K. G.Do, R.Yamashita, M.Nishio, K. R., K.Togashi and, K.Togashi. Convolutional neural networks: An overview and application in radiology. Insights Imaging, 9, 611-629(2018).

    [34] Y.LeCun, Y.LeCun, Y.Bengio, G.Hinton and, Y.Bengio, Y.LeCun, Y.Bengio, G.Hinton and, G.Hinton. Deep learning. Nature, 521, 436-444(2015).

    [35] J.Carrasquilla, and J.Carrasquilla, R. G.Melko. Machine learning phases of matter. Nat. Phys., 13, 431-434(2017).

    [36] K.Ch’ng, K.Ch’ng, J.Carrasquilla, G.Melko R., E.Khatami and, J.Carrasquilla, K.Ch’ng, J.Carrasquilla, G.Melko R., E.Khatami and, R. G.Melko, K.Ch’ng, J.Carrasquilla, G.Melko R., E.Khatami and, E.Khatami. Machine learning phases of strongly correlated fermions. Phys. Rev. X, 7, 031038(2017).

    [37] P. T.Komiske, T.Komiske P., M.Metodiev E., M. and, E. M.Metodiev, T.Komiske P., M.Metodiev E., M. and, M. D.Schwartz. Deep learning in color: Towards automated quark/gluon jet discrimination. J. High Energy Phys., 2017, 110.

    [38] K.Fukami, K.Fukami, K.Fukagata, K.Taira and, K.Fukagata, K.Fukami, K.Fukagata, K.Taira and, K.Taira. Super-resolution reconstruction of turbulent flows with machine learning. J. Fluid Mech., 870, 106-120(2019).

    [39] A.Aurisano, A.Aurisano, A.Radovic, D.Rocco, A.Himmel, M.Messier, E.Niner, G.Pawloski, F.Psihas, A.Sousa, P.Vahle and, A.Radovic, A.Aurisano, A.Radovic, D.Rocco, A.Himmel, M.Messier, E.Niner, G.Pawloski, F.Psihas, A.Sousa, P.Vahle and, D.Rocco, A.Aurisano, A.Radovic, D.Rocco, A.Himmel, M.Messier, E.Niner, G.Pawloski, F.Psihas, A.Sousa, P.Vahle and, A.Himmel, A.Aurisano, A.Radovic, D.Rocco, A.Himmel, M.Messier, E.Niner, G.Pawloski, F.Psihas, A.Sousa, P.Vahle and, M.Messier, A.Aurisano, A.Radovic, D.Rocco, A.Himmel, M.Messier, E.Niner, G.Pawloski, F.Psihas, A.Sousa, P.Vahle and, E.Niner, A.Aurisano, A.Radovic, D.Rocco, A.Himmel, M.Messier, E.Niner, G.Pawloski, F.Psihas, A.Sousa, P.Vahle and, G.Pawloski, A.Aurisano, A.Radovic, D.Rocco, A.Himmel, M.Messier, E.Niner, G.Pawloski, F.Psihas, A.Sousa, P.Vahle and, F.Psihas, A.Aurisano, A.Radovic, D.Rocco, A.Himmel, M.Messier, E.Niner, G.Pawloski, F.Psihas, A.Sousa, P.Vahle and, A.Sousa, A.Aurisano, A.Radovic, D.Rocco, A.Himmel, M.Messier, E.Niner, G.Pawloski, F.Psihas, A.Sousa, P.Vahle and, P.Vahle. A convolutional neural network neutrino event classifier. J. Instrum., 11, P09001(2016).

    [40] A.Cecen, A.Cecen, H.Dai, C.Yabansu Y., R.Kalidindi S., L.Song and, H.Dai, A.Cecen, H.Dai, C.Yabansu Y., R.Kalidindi S., L.Song and, Y. C.Yabansu, A.Cecen, H.Dai, C.Yabansu Y., R.Kalidindi S., L.Song and, S. R.Kalidindi, A.Cecen, H.Dai, C.Yabansu Y., R.Kalidindi S., L.Song and, L.Song. Material structure-property linkages using three-dimensional convolutional neural networks. Acta Mater., 146, 76-84(2018).

    [41] V.Das, V.Das, A.Pollack, U.Wollner, T.Mukerji and, A.Pollack, V.Das, A.Pollack, U.Wollner, T.Mukerji and, U.Wollner, V.Das, A.Pollack, U.Wollner, T.Mukerji and, T.Mukerji. Convolutional neural network for seismic impedance inversion. Geophysics, 84, R869-R880(2019).

    [42] I. V.Kochetkov, V.Kochetkov I., D.Bukharskii N., M.Ehret, Y.Abe, F. K., V.Ospina-Bohorquez, J.Santos J., S.Fujioka, G.Schaumann, B.Zielbauer, A.Kuznetsov, P.Korneev and, N. D.Bukharskii, V.Kochetkov I., D.Bukharskii N., M.Ehret, Y.Abe, F. K., V.Ospina-Bohorquez, J.Santos J., S.Fujioka, G.Schaumann, B.Zielbauer, A.Kuznetsov, P.Korneev and, M.Ehret, V.Kochetkov I., D.Bukharskii N., M.Ehret, Y.Abe, F. K., V.Ospina-Bohorquez, J.Santos J., S.Fujioka, G.Schaumann, B.Zielbauer, A.Kuznetsov, P.Korneev and, Y.Abe, V.Kochetkov I., D.Bukharskii N., M.Ehret, Y.Abe, F. K., V.Ospina-Bohorquez, J.Santos J., S.Fujioka, G.Schaumann, B.Zielbauer, A.Kuznetsov, P.Korneev and, K. F. F.Law, V.Kochetkov I., D.Bukharskii N., M.Ehret, Y.Abe, F. K., V.Ospina-Bohorquez, J.Santos J., S.Fujioka, G.Schaumann, B.Zielbauer, A.Kuznetsov, P.Korneev and, V.Ospina-Bohorquez, V.Kochetkov I., D.Bukharskii N., M.Ehret, Y.Abe, F. K., V.Ospina-Bohorquez, J.Santos J., S.Fujioka, G.Schaumann, B.Zielbauer, A.Kuznetsov, P.Korneev and, J. J.Santos, V.Kochetkov I., D.Bukharskii N., M.Ehret, Y.Abe, F. K., V.Ospina-Bohorquez, J.Santos J., S.Fujioka, G.Schaumann, B.Zielbauer, A.Kuznetsov, P.Korneev and, S.Fujioka, V.Kochetkov I., D.Bukharskii N., M.Ehret, Y.Abe, F. K., V.Ospina-Bohorquez, J.Santos J., S.Fujioka, G.Schaumann, B.Zielbauer, A.Kuznetsov, P.Korneev and, G.Schaumann, V.Kochetkov I., D.Bukharskii N., M.Ehret, Y.Abe, F. K., V.Ospina-Bohorquez, J.Santos J., S.Fujioka, G.Schaumann, B.Zielbauer, A.Kuznetsov, P.Korneev and, B.Zielbauer, V.Kochetkov I., D.Bukharskii N., M.Ehret, Y.Abe, F. K., V.Ospina-Bohorquez, J.Santos J., S.Fujioka, G.Schaumann, B.Zielbauer, A.Kuznetsov, P.Korneev and, A.Kuznetsov, V.Kochetkov I., D.Bukharskii N., M.Ehret, Y.Abe, F. K., V.Ospina-Bohorquez, J.Santos J., S.Fujioka, G.Schaumann, B.Zielbauer, A.Kuznetsov, P.Korneev and, P.Korneev. Neural network analysis of quasistationary magnetic fields in microcoils driven by short laser pulses. Sci. Rep., 12, 13734(2022).

    [43] W. L.Kruer. The Physics of Laser Plasma Interactions(1988).

    [44] J. A.Stratton, A.Stratton J., L. J.Chu. Diffraction theory of electromagnetic waves. Phys. Rev., 56, 99-107(1939).

    [45] C.Zhang, C.Zhang, Z.Nie, Y.Wu, M.Sinclair, C.-K.Huang, A.Marsh K., C.Joshi and, Z.Nie, C.Zhang, Z.Nie, Y.Wu, M.Sinclair, C.-K.Huang, A.Marsh K., C.Joshi and, Y.Wu, C.Zhang, Z.Nie, Y.Wu, M.Sinclair, C.-K.Huang, A.Marsh K., C.Joshi and, M.Sinclair, C.Zhang, Z.Nie, Y.Wu, M.Sinclair, C.-K.Huang, A.Marsh K., C.Joshi and, C.-K.Huang, C.Zhang, Z.Nie, Y.Wu, M.Sinclair, C.-K.Huang, A.Marsh K., C.Joshi and, K. A.Marsh, C.Zhang, Z.Nie, Y.Wu, M.Sinclair, C.-K.Huang, A.Marsh K., C.Joshi and, C.Joshi. Ionization induced plasma grating and its applications in strong-field ionization measurements. Plasma Phys. Controlled Fusion, 63, 095011(2021).

    [46] S.-W.Bahk, S.-W.Bahk, P.Rousseau, A.Planchon T., V.Chvykov, G.Kalintchenko, A.Maksimchuk, A.Mourou G., V.Yanovsky and, P.Rousseau, S.-W.Bahk, P.Rousseau, A.Planchon T., V.Chvykov, G.Kalintchenko, A.Maksimchuk, A.Mourou G., V.Yanovsky and, T. A.Planchon, S.-W.Bahk, P.Rousseau, A.Planchon T., V.Chvykov, G.Kalintchenko, A.Maksimchuk, A.Mourou G., V.Yanovsky and, V.Chvykov, S.-W.Bahk, P.Rousseau, A.Planchon T., V.Chvykov, G.Kalintchenko, A.Maksimchuk, A.Mourou G., V.Yanovsky and, G.Kalintchenko, S.-W.Bahk, P.Rousseau, A.Planchon T., V.Chvykov, G.Kalintchenko, A.Maksimchuk, A.Mourou G., V.Yanovsky and, A.Maksimchuk, S.-W.Bahk, P.Rousseau, A.Planchon T., V.Chvykov, G.Kalintchenko, A.Maksimchuk, A.Mourou G., V.Yanovsky and, G. A.Mourou, S.-W.Bahk, P.Rousseau, A.Planchon T., V.Chvykov, G.Kalintchenko, A.Maksimchuk, A.Mourou G., V.Yanovsky and, V.Yanovsky. Characterization of focal field formed by a large numerical aperture paraboloidal mirror and generation of ultra-high intensity (1022 W/cm2). Appl. Phys. B: Lasers Opt., 80, 823-832(2005).

    [47] W. H.Press, H.Press W., A.Teukolsky S., T.Vetterling W., B. and, S. A.Teukolsky, H.Press W., A.Teukolsky S., T.Vetterling W., B. and, W. T.Vetterling, H.Press W., A.Teukolsky S., T.Vetterling W., B. and, B. P.Flannery. Numerical Recipes: The Art of Scientific Computing(2007).

    [48] J.Dumont, J.Dumont, F.Fillion-Gourdeau, C.Lefebvre, D.Gagnon, S.MacLean and, F.Fillion-Gourdeau, J.Dumont, F.Fillion-Gourdeau, C.Lefebvre, D.Gagnon, S.MacLean and, C.Lefebvre, J.Dumont, F.Fillion-Gourdeau, C.Lefebvre, D.Gagnon, S.MacLean and, D.Gagnon, J.Dumont, F.Fillion-Gourdeau, C.Lefebvre, D.Gagnon, S.MacLean and, S.MacLean. Efficiently parallelized modeling of tightly focused, large bandwidth laser pulses. J. Opt., 19, 025604(2017).

    [49] P.Varga, and P.Varga, P.T?r?k. Focusing of electromagnetic waves by paraboloid mirrors. I. Theory. J. Opt. Soc. Am. A, 17, 2081-2089(2000).

    [50] S. M.Sepke, M.Sepke S., D. P.Umstadter. Analytical solutions for the electromagnetic fields of tightly focused laser beams of arbitrary pulse length. Opt. Lett., 31, 2589-2591(2006).

    [51] D.An der Brügge, der D.An, A.Pukhov. Ultrashort focused electromagnetic pulses. Phys. Rev. E, 79, 016603(2009).

    [52] J.-X.Li, J.-X.Li, I.Salamin Y., Z.Hatsagortsyan K., C. and, Y. I.Salamin, J.-X.Li, I.Salamin Y., Z.Hatsagortsyan K., C. and, K. Z.Hatsagortsyan, J.-X.Li, I.Salamin Y., Z.Hatsagortsyan K., C. and, C. H.Keitel. Fields of an ultrashort tightly focused laser pulse. J. Opt. Soc. Am. B, 33, 405-411(2016).

    [53] H.Jeffreys, and H.Jeffreys, B.Jeffreys. Methods of Mathematical Physics(1999).

    [54] M.Titterington. Neural networks. Wiley Interdiscip. Rev.: Comput. Stat., 2, 1-8(2010).

    [55] M.Kuhn, and M.Kuhn, K.Johnson. Applied Predictive Modeling(2013).

    [56] P.Liashchynskyi, and P.Liashchynskyi, P.Liashchynskyi. Grid search, random search, genetic algorithm: A big comparison for NAS(2019).

    [57] D. P.Kingma, P.Kingma D., J.Ba. Adam: A method for stochastic optimization(2014).

    [58] D. M.Hawkins. The problem of overfitting. J. Chem. Inf. Comput. Sci., 44, 1-12(2004).

    [59] B. L.Peko, L.Peko B., T. M.Stephen. Absolute detection efficiencies of low energy H, H, H+, H2+ and H3+ incident on a multichannel plate detector. Nucl. Instrum. Methods Phys. Res., Sect. B, 171, 597-604(2000).

    [60] F.Lureau, F.Lureau, G.Matras, O.Chalus, C.Derycke, T.Morbieu, C.Radier, O.Casagrande, S.Laux, S.Ricaud, G.Reyet?al., G.Matras, F.Lureau, G.Matras, O.Chalus, C.Derycke, T.Morbieu, C.Radier, O.Casagrande, S.Laux, S.Ricaud, G.Reyet?al., O.Chalus, F.Lureau, G.Matras, O.Chalus, C.Derycke, T.Morbieu, C.Radier, O.Casagrande, S.Laux, S.Ricaud, G.Reyet?al., C.Derycke, F.Lureau, G.Matras, O.Chalus, C.Derycke, T.Morbieu, C.Radier, O.Casagrande, S.Laux, S.Ricaud, G.Reyet?al., T.Morbieu, F.Lureau, G.Matras, O.Chalus, C.Derycke, T.Morbieu, C.Radier, O.Casagrande, S.Laux, S.Ricaud, G.Reyet?al., C.Radier, F.Lureau, G.Matras, O.Chalus, C.Derycke, T.Morbieu, C.Radier, O.Casagrande, S.Laux, S.Ricaud, G.Reyet?al., O.Casagrande, F.Lureau, G.Matras, O.Chalus, C.Derycke, T.Morbieu, C.Radier, O.Casagrande, S.Laux, S.Ricaud, G.Reyet?al., S.Laux, F.Lureau, G.Matras, O.Chalus, C.Derycke, T.Morbieu, C.Radier, O.Casagrande, S.Laux, S.Ricaud, G.Reyet?al., S.Ricaud, F.Lureau, G.Matras, O.Chalus, C.Derycke, T.Morbieu, C.Radier, O.Casagrande, S.Laux, S.Ricaud, G.Reyet?al., G.Reyet?al.. High-energy hybrid femtosecond laser system demonstrating 2 × 10 PW capability. High Power Laser Sci. Eng., 8, E43(2020).

    [61] B. C.Platt, C.Platt B., R.Shack. History and principles of Shack-Hartmann wavefront sensing. J. Refractive Surg., 17, S573-S577(2001).

    N. D. Bukharskii, O. E. Vais, Ph. A. Korneev, V. Yu. Bychenkov. Restoration of the focal parameters for an extreme-power laser pulse with ponderomotively scattered proton spectra by using a neural network algorithm[J]. Matter and Radiation at Extremes, 2023, 8(1): 014404
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