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Influence of upper hybrid wave on electron acceleration by Laguerre–Gaussian pulse in relativistic-ponderomotive plasma

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Abstract

In the present work, the dynamics of laser pulse with Laguerre–Gaussian (LG) laser profile in both space and time domains have been analyzed inside a plasma medium with an exponential density ramp. The excitation of upper hybrid wave (UHW) has been done by the propagation of laser pulse inside magnetoplasma having relativistic and ponderomotive nonlinearities. The excited UHW further accelerates the plasma electrons to high energy values. The dynamics of the LG laser pulse have been governed by two second-order coupled differential equations derived by the approach of the method of moments. The alteration in the spatiotemporal widths of the laser pulse and their effect on electron energy gain has been seen for different modes of LG pulse. Furthermore, the effect of density ramp and transverse magnetic field have also been studied.

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References

  • Abedi-Varaki, M.: Electron acceleration by a circularly polarized electromagnetic wave publishing in plasma with a periodic magnetic field and an axial guide magnetic field. Mod. Phys. Lett. B 32(20), 1850225 (2018)

    Article  ADS  MathSciNet  Google Scholar 

  • Abedi-Varaki, M., Daraei, M.: Impact of wiggler magnetic field on wakefield generation and electron acceleration by Gaussian, super-Gaussian and Bessel–Gaussian laser pulses propagating in collisionless plasma. J. Plasma Phys. 89(1), 905890114 (2023)

    Article  Google Scholar 

  • Akou, H.: Excitation of upper-hybrid plasma wake wave by a low-frequency extraordinary electromagnetic wave. Contrib. Plasma Phys. 61(1), 1–9 (2021)

    Article  Google Scholar 

  • Amiranoff, F., Bernard, D., Cros, B., Jacquet, F., Matthieussent, G., Miné, P., Mora, P., Morillo, J., Moulin, F., Specka, A., et al.: Electron acceleration in nd-laser plasma beat-wave experiments. Phys. Rev. Lett. 74(26), 5220–5223 (1995)

    Article  ADS  CAS  PubMed  Google Scholar 

  • Betti, R., Hurricane, O.: Inertial-confinement fusion with lasers. Nat. Phys. 12(5), 435–448 (2016)

    Article  CAS  Google Scholar 

  • Craxton, R., Anderson, K., Boehly, T., Goncharov, V., Harding, D., Knauer, J., McCrory, R., McKenty, P., Meyerhofer, D., Myatt, J., et al.: Direct-drive inertial confinement fusion: a review. Phys. Plasmas 22(11), 1–152 (2015)

    Article  Google Scholar 

  • Dieckmann, M.E., Eliasson, B., Shukla, P.: Self-consistent studies of electron acceleration to ultrarelativistic energies by upper hybrid waves. Astrophys. J. 617(2), 1361–1370 (2004)

    Article  ADS  CAS  Google Scholar 

  • Downer, M., Zgadzaj, R., Debus, A., Schramm, U., Kaluza, M.: Diagnostics for plasma-based electron accelerators. Rev. Mod. Phys. 90(3), 1–71 (2018)

    Article  MathSciNet  Google Scholar 

  • Eliezer, S., Mima, K.: Applications of Laser–Plasma Interactions. CRC Press, Boca Raton (2008)

    Book  Google Scholar 

  • Esarey, E., Sprangle, P., Krall, J., Ting, A.: Self-focusing and guiding of short laser pulses in ionizing gases and plasmas. IEEE J. Quantum Electron. 33(11), 1879–1914 (1997)

    Article  ADS  CAS  Google Scholar 

  • Fiedorowicz, H., Bartnlk, A., Parys, P., Patron, Z.: Laser Plasma X-ray Source with a Gas Puff Target, X-ray Optics and Microanalysis 1992, 515–518. CRC Press, Boca Raton (2020)

    Google Scholar 

  • Firouzjaei, A.S., Shokri, B.: Analysis of radial and longitudinal field of plasma wakefield generated by a Laguerre–Gauss laser pulse. Phys. Plasmas 23(6), 063102 (2016)

    Article  Google Scholar 

  • Ganeev, R., Baba, M., Suzuki, M., Kuroda, H.: High-order harmonic generation from silver plasma. Phys. Lett. A 339(1–2), 103–109 (2005)

    Article  ADS  CAS  Google Scholar 

  • Gill, T.S., Mahajan, R., Kaur, R.: Self-focusing of cosh-Gaussian laser beam in a plasma with weakly relativistic and ponderomotive regime. Phys. Plasmas 18(3), 033110 (2011)

    Article  ADS  Google Scholar 

  • Hogan, M., Barnes, C., Clayton, C., Decker, F., Deng, S., Emma, P., Huang, C., Iverson, R., Johnson, D., Joshi, C., et al.: Multi-gev energy gain in a plasma-wakefield accelerator. Phys. Rev. Lett. 95(5), 054802 (2005)

    Article  ADS  CAS  PubMed  Google Scholar 

  • Hooker, S.M.: Developments in laser-driven plasma accelerators. Nat. Photonics 7(10), 775–782 (2013)

    Article  ADS  CAS  Google Scholar 

  • Kad, P., Singh, A.: Electron acceleration and spatio-temporal variation of Laguerre–Gaussian laser pulse in relativistic plasma. Eur. Phys. J. Plus 137(8), 885 (2022)

    Article  Google Scholar 

  • Kad, P., Rana, V., Singh, A.: Generation of terahertz radiation by a Hermite–Gaussian laser beam inside magnetoplasma with a density ramp. J. Plasma Phys. 89(2), 905890207 (2023)

    Article  Google Scholar 

  • Kovalev, V., Bychenkov, V.Y.: Analytic theory of relativistic self-focusing for a gaussian light beam entering a plasma: renormalization-group approach. Phys. Rev. E 99(4), 043201 (2019)

    Article  ADS  CAS  PubMed  Google Scholar 

  • Krasovitskiy, V., Turikov, V., Sotnikov, V.: Nonlinear dispersion of resonance extraordinary wave in a plasma with strong magnetic field. Phys. Plasmas 14(9), 092108 (2007)

    Article  ADS  Google Scholar 

  • Leemans, W., Catravas, P., Esarey, E., Geddes, C., Toth, C., Trines, R., Schroeder, C., Shadwick, B., Van Tilborg, J., Faure, J.: Electron-yield enhancement in a laser-wakefield accelerator driven by asymmetric laser pulses. Phys. Rev. Lett. 89(17), 174802 (2002)

    Article  ADS  CAS  PubMed  Google Scholar 

  • Litos, M., Adli, E., An, W., Clarke, C., Clayton, C., Corde, S., Delahaye, J., England, R., Fisher, A., Frederico, J., et al.: High-efficiency acceleration of an electron beam in a plasma wakefield accelerator. Nature 515(7525), 92–95 (2014)

    Article  ADS  CAS  PubMed  Google Scholar 

  • Malka, V., Faure, J., Gauduel, Y.A., Lefebvre, E., Rousse, A., Phuoc, K.T.: Principles and applications of compact laser-plasma accelerators. Nat. Phys. 4(6), 447–453 (2008)

    Article  CAS  Google Scholar 

  • Noble, R.J.: Plasma-wave generation in the beat-wave accelerator. Phys. Rev. A 32(1), 460–471 (1985)

    Article  ADS  CAS  Google Scholar 

  • Patil, S.D., Vhanmore, B.D., Takale, M.V.: Analysis of the intensity range for self-focusing of Bessel–Gauss laser beams in plasma. J. Russ. Laser Res. 42, 45–52 (2021)

    Article  Google Scholar 

  • Pawar, V., Nikam, P., Kokare, S., Patil, S., Takale, M.: Relativistic self-focusing of finite Airy–Gaussian laser beams in cold quantum plasma. J. Opt. 50(3), 403–409 (2021)

    Article  Google Scholar 

  • Purohit, G.: Upper hybrid wave excitation and particle acceleration by resonant beating of two hollow gaussian laser beams in magnetized plasma. JOSA B 39(8), 2066–2073 (2022)

    Article  ADS  CAS  Google Scholar 

  • Purohit, G., Chauhan, P., Sharma, R.: Dynamics of the excitation of an upper hybrid wave by a rippled laser beam in magnetoplasma. Phys. Plasmas 15(5), 1–9 (2008)

    Article  Google Scholar 

  • Purohit, G., Chauhan, P., Sharma, R.: Excitation of an upper hybrid wave by a high power laser beam in plasma. Laser Part. Beams 26(1), 61–68 (2008)

    Article  ADS  CAS  Google Scholar 

  • Purohit, G., Sharma, P., Sharma, R.: Excitation of an upper hybrid wave by two intense laser beams and particle acceleration. Phys. Lett. A 374(6), 866–871 (2010)

    Article  ADS  CAS  Google Scholar 

  • Radziemski, L.J.: Lasers-Induced Plasmas and Applications. CRC Press, Boca Raton (2020)

    Book  Google Scholar 

  • Rödel, C., an der Brügge, D., Bierbach, J., Yeung, M., Hahn, T., Dromey, B., Herzer, S., Fuchs, S., Pour, A.G., Eckner, E., et al.: Harmonic generation from relativistic plasma surfaces in ultrasteep plasma density gradients. Phys. Rev. Lett. 109(12), 1–5 (2012)

  • Santala, M., Najmudin, Z., Clark, E., Tatarakis, M., Krushelnick, K., Dangor, A., Malka, V., Faure, J., Allott, R., Clarke, R.: Observation of a hot high-current electron beam from a self-modulated laser wakefield accelerator. Phys. Rev. Lett. 86(7), 1227–1228 (2001)

    Article  ADS  CAS  PubMed  Google Scholar 

  • Schoenlein, R., Elsaesser, T., Holldack, K., Huang, Z., Kapteyn, H., Murnane, M., Woerner, M.: Recent advances in ultrafast X-ray sources. Philos. Trans. R. Soc. A 377(2145), 20180384 (2019)

    Article  ADS  Google Scholar 

  • Sodha, M., Tewari, D., Patheja, B., Sharma, R.: Excitation of an upper hybrid wave by a Gaussian electromagnetic beam in ordinary mode. J. Plasma Phys. 21(2), 267–278 (1979)

    Article  ADS  Google Scholar 

  • Tajima, T., Dawson, J.M.: Laser electron accelerator. Phys. Rev. Lett. 43(4), 267–270 (1979)

    Article  ADS  CAS  Google Scholar 

  • Ting, A., Moore, C., Krushelnick, K., Manka, C., Esarey, E., Sprangle, P., Hubbard, R., Burris, H., Fischer, R., Baine, M.: Plasma wakefield generation and electron acceleration in a self-modulated laser wakefield accelerator experiment. Phys. Plasmas 4(5), 1889–1899 (1997)

    Article  ADS  CAS  Google Scholar 

  • Tomkus, V., Girdauskas, V., Abedi-Varaki, M., Raciukaitis, G.: Laser wakefield acceleration of electrons using Bessel–Gauss doughnut beams for accelerating beam guiding. J. Plasma Phys. 89(2), 905890209 (2023)

    Article  Google Scholar 

  • Vlasov, S., Petrishchev, V., Talanov, V.: Averaged description of wave beams in linear and nonlinear media (the method of moments). Radiophys. Quantum Electron. 14(9), 1062–1070 (1971)

    Article  ADS  Google Scholar 

  • Wiggins, S., Issac, R., Welsh, G., Brunetti, E., Shanks, R., Anania, M., Cipiccia, S., Manahan, G., Aniculaesei, C., Ersfeld, B., et al.: High quality electron beams from a laser wakefield accelerator. Plasma Phys. Controlled Fusion 52(12), 124032 (2010)

    Article  ADS  Google Scholar 

  • Xia, X., Wei, G., Tian, K., Chen, J., Liang, Q.: Electron acceleration by relativistic pondermotive force in the interaction of intense laser pulse with an axially inhomogeneous underdense plasma. Mod. Phys. Lett. B 36(26n27), 2230003 (2022)

    Article  ADS  MathSciNet  CAS  Google Scholar 

  • Yadav, M., Sharma, S.C., Gupta, D.N.: Electron acceleration by a relativistic electron plasma wave in inverse-free-electron laser mechanism. IEEE Trans. Plasma Sci. 46(7), 2521–2527 (2018)

    Article  ADS  CAS  Google Scholar 

  • Yadav, M., Gupta, D.N., Sharma, S.C.: Electron plasma wave excitation by a q-Gaussian laser beam and subsequent electron acceleration. Phys. Plasmas 27(9), 1–8 (2020)

    Article  Google Scholar 

  • Zhu, X.L., Liu, W.Y., Chen, M., Weng, S.M., He, F., Assmann, R., Sheng, Z.M., Zhang, J.: Generation of 100-MeV attosecond electron bunches with terawatt few-cycle laser pulses. Phys. Rev. Appl. 15(4), 044039 (2021)

    Article  ADS  CAS  Google Scholar 

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The authors show their gratitude towards the Ministry of Education, India for providing financial support to carry out this research work.

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Correspondence to Arvinder Singh.

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Kad, P., Singh, A. Influence of upper hybrid wave on electron acceleration by Laguerre–Gaussian pulse in relativistic-ponderomotive plasma. Opt Quant Electron 56, 454 (2024). https://doi.org/10.1007/s11082-023-06087-8

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