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Relativistic effects on electron acceleration by elliptical q-gaussian laser beam driven electron plasma wave

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Abstract

Theoretical investigation on propagation dynamics of an elliptical q-Gaussian laser beam in a plasma by considering the relativistic mass nonlinearity of plasma electrons has been presented. The study is then extended to investigate the electron plasma wave (EPW) excitation by the laser beam. Following variational theory the nonlinear wave equations governing the evolution of laser beam and plasma wave have been reduced to a set of coupled ordinary differential equations for the beam widths of pump beam and EPW. Further the acceleration of electrons by the EPW excited by the laser beam has been investigated. The results obtained from numerical analysis reveal a stronger self-focusing of the q-Gaussian laser beam, which is desirable to excite a large amplitude electron plasma wave (EPW) for electron acceleration by extending the interaction length.

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References

  • Akhiezer, A.I., Polovin, R.V.: Theory of wave motion of an electron plasma. Sov. Phys. JETP 3, 696–705 (1956)

    MathSciNet  MATH  Google Scholar 

  • Anderson, D., Bonnedal, M.: Variational approach to nonlinear self-focusing of Gaussian laser beams. Ph Phys. Fluids 22, 105–109 (1979)

    Article  ADS  MathSciNet  Google Scholar 

  • Anderson, D., Bonnedal, M., Lisak, M.: Nonlinear propagation of elliptically shaped Gaussian laser beams. J. Plasma Phys. 23, 115–127 (1980)

    Article  ADS  Google Scholar 

  • Chauhan, P., Purohit, G.: Relativistic ponderomotive effect on the propagation of rippled laser beam and the excitation of electron plasma wave in collisionless plasma Opt. Commun. 311, 317–324 (2013)

    ADS  Google Scholar 

  • Clayton, C.E., Marsh, K.A., Dyson, A., Everett, M., Lal, A., Leemans, W.P., Williams, R., Joshi, C.: Ultrahigh-gradient acceleration of injected electrons by laser-excited relativistic electron plasma waves Phys. Rev. Lett. 70, 37–40 (1993)

    Article  ADS  Google Scholar 

  • Dawson, J.M.: Plasma particle accelerators. Sci. Am. 260, 54–70 (1989)

    Article  Google Scholar 

  • Dunne, M.: Laser driven particle accelerators. Science 312, 5772 (2006)

    Article  Google Scholar 

  • Esarey, E., Schroeder, C.B., Leemans, W.P.: Physics of laser-driven plasma-based electron accelerators Rev. Mod. Phys. 81, 1229–1285 (2009)

    Article  ADS  Google Scholar 

  • Gaur, B., Rawat, P., Purohit, G.: Effect of self-focused cosh Gaussian laser beam on the excitation of electron plasma wave and particle acceleration Laser and Part. Beams 34, 621–630 (2016)

    Google Scholar 

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

    Article  ADS  Google Scholar 

  • Jha, P., Saroch, A., Mishra, R.: Wakefield generation and electron acceleration by intense super-Gaussian laser pulses propagating in plasma Laser and Part. Beams 31, 583–588 (2013)

    Google Scholar 

  • Joshi, C.: Plasma accelerators. Sci. Am. 294, 22–29 (2006)

    Article  Google Scholar 

  • Ledingham, K.W.D., Galster, W.: Laser-driven particle and photon beams and some applications New. J. Phys. 12, 045005 (2010)

    Google Scholar 

  • Leemans, W.P., Esarey, E.: Laser-driven plasma-wave electron accelerators. Phys. Today 62, 44–49 (2009)

    Article  Google Scholar 

  • Lin, H., Xu, Z., Li, R., Chen, L.M.: Electron acceleration by overlapped plasma waves Phys. Plasmas 11, 5167–5172 (2004)

    Article  ADS  Google Scholar 

  • Malka, V.: Laser plasma accelerators. Phys. Plasmas 19, 055501 (2012)

    Article  ADS  Google Scholar 

  • Mitsuru, U., Kazuyoshi, K.: Advanced accelerators for medical applications Rev. of Accel. Sci. and Tech. 9, 235–260 (2016)

  • Nakatsutsumi, M., Davies, J.R., Kodama, R., Green, J.S., Lancaster, K.L., Akli, K.U., Beg, F.N., Chen, S.N., Clark, D., Freeman, R.R., Gregory, C.D., Habara, H., Heathcote, R., Hey, D.S., Highbarger, K., Jaanimagi, P., Key, M.H., Krushelnick, K., Ma, T., MacPhee, A., MacKinnon, A.J., Nakamura, H., Stephens, R.B., Storm, M., Tampo, M., Theobald, W., Van Woerkom, L., Weber, R.L., Wei, M.S., Woolsey, N.C., Norreys, P.A.: Space and time resolved measurements of the heating of solids to ten million kelvin by a petawatt laser New. J. Phys. 10, 043046 (2008)

    Google Scholar 

  • Patel, N.: Accelerator physics: the plasma revolution. Nature 449, 133–135 (2007)

    Article  ADS  Google Scholar 

  • Patel, P.K., Key, M.H., Mackinnon, A.J., Berry, R., Borghesi, M., Chambers, D.M., Chen, H., Clarke, R., Damian, C., Eagleton, R., Freeman, R., Glenzer, S., Gregori, G., Heathcote, R., Hey, D., Izumi, N., Kar, S., King, J., Nikroo, A., Niles, A., Park, H.S., Pasley, J., Patel, N., Shepherd, R., Snavely, R.A., Steinman, D., Stoeckl, C., Storm, M., Theobald, W., Town, R., Van Maren, R., Wilks, S.C., Zhang, B.: Integrated laser-target interaction experiments on the RAL petawatt laser Plasma Phys. Controlled Fusion 47, B833 (2005)

    Article  Google Scholar 

  • Raynaud, M., Heron, A., Adam, J.C.: Excitation of surface plasma waves and fast electron generation in relativistic laser-plasma interaction. Sci Rep 10, 13450 (2020)

  • Sapra, N.V., Yang, Y., Vercruysse, D., Leedle, K.J., Black, D.S., England, R.J., Su, L., Trivedi, R., Miao, Y., Solgaard, O., Byer, R.L., Vučković, J.: On-chip integrated laser-driven particle accelerator. Science 367, 6473 (2020)

    Article  Google Scholar 

  • Sharma, A., Kourakis, I.: Spatial evolution of a q-Gaussian laser beam in relativistic plasma Laser and Part. Beams 28, 479 (2010)

    Google Scholar 

  • Singh, K.P.: Laser induced electron acceleration in vacuum Phys. Plasmas 11, 1164 (2004)

    Article  ADS  Google Scholar 

  • Singh, A.K., Chandra, S.: Electron acceleration by ponderomotive force in magnetized quantum plasma Laser and Part. Beams 35, 1 (2017)

    Google Scholar 

  • Singh, A., Gupta, N.: Higher harmonic generation by self-focused q-Gaussian laser beam in preformed collisionless plasma channel Laser and Part. Beams 32, 621–629 (2014)

    Google Scholar 

  • Singh, R., Sharma, A.K.: Ponderomotive acceleration of electrons by a self focused laser pulse Phys. Plasmas 17, 123109 (2010)

    Article  ADS  Google Scholar 

  • Singh, A., Walia, K.: Self-focusing of Gaussian laser beam through collisionless plasmas and its effect on second harmonic generation. J. Fusion Ener. 30, 555–560 (2011)

    Article  ADS  Google Scholar 

  • Sodha, M.S., Ghatak, A.K., Tripathi, V.K.: In: Volume, X.I.I.I., (E. Wolf), (eds.) Progress in Optics, vol. 13 169., North Holland, Amsterdam (1976)

  • Suk, H., Barov, N., Rosenzweig, J.B., Esarey, E.: Plasma electron trapping and acceleration in a plasma wake field using a density transition Phys. Rev. Lett. 86, 1011–1014 (2001)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  • Tsallis, C.: Nonadditive entropy and nonextensive statistical mechanics-an overview after 20 years Braz. J. Phys. 39, 337–356 (2009)

    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, 093106 (2020)

    Article  Google Scholar 

Download references

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Authors and Affiliations

  1. Lovely Professional University, Phagwara, India

    Naveen Gupta

  2. Pt. C.L.S. Government College Karnal, Karnal, India

    S. B. Bhardwaj

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  1. Naveen Gupta
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  2. S. B. Bhardwaj
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Correspondence to Naveen Gupta.

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Gupta, N., Bhardwaj, S.B. Relativistic effects on electron acceleration by elliptical q-gaussian laser beam driven electron plasma wave. Opt Quant Electron 53, 700 (2021). https://doi.org/10.1007/s11082-021-03302-2

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