Abstract
Theoretical investigation has been conducted into the dynamics of electron plasma waves (EPWs) driven by lasers in plasmas featuring axial density ramps. To explore the impact of the laser beams' orbital angular momentum on both the propagation dynamics and the strength of the excited EPWs, the irradiance across the laser beam's cross section has been represented using a Laguerre–Gaussian beam profile. As the laser beam travels through the plasma, it stimulates an EPW at the pump frequency. This EPW becomes nonlinearly coupled to the laser beam due to the optical nonlinearity of the plasma. By employing variational theory and the W.K.B. approximation, semi-analytical solutions for the coupled nonlinear wave equations governing the pump wave and EPW have been derived. Notably, it has been observed that the power of the EPW is significantly influenced by the self-focusing effect of the pump beam.
Similar content being viewed by others
References
R.S. Craxton, K.S. Anderson, T.R. Boehly, V.N. Goncharov, D.R. Harding, J.P. Knauer, R.L. Mc Crory, P.W. Mc Kenty, D.D. Meyerhofer, J.F. Myatt, A.J. Schmitt, J.D. Sethian, R.W. Short, S. Skupsky, W. Theobald, W.L. Kruer, K. Tanaka, R. Betti, T.J.B. Collins, J.A. Delettrez, S.X. Hu, J.A. Marozas, A.V. Maximov, D.T. Michel, P.B. Radha, S.P. Regan, T.C. Sangster, W. Seka, A.A. Solodov, J.M. Soures, C. Stoeckl, J.D. Zuegel, Direct-drive inertial confinement fusion: a review. Phys. Plasmas 22, 110501 (2015)
R. Betti, O.A. Hurricane, Inertial-confinement fusion with lasers. Nat. Phys. 12, 435 (2016)
J. Nuckolls, L. Wood, A. Thiessen, G. Zimmerman, Laser compression of matter to super-high densities: thermonuclear (CTR) applications. Nature 239, 139 (1972)
E. Gschwendtner, P. Muggli, Plasma wakefield accelerators. Nat. Rev. Phys. 1, 246 (2019)
E. Esarey, C.B. Schroeder, W. Leemans, Physics of laser-driven plasma-based electron accelerators. Rev. Mod. Phys. 81, 1229 (2009)
A. Reagan, M. Berrill, K.A. Wernsing, C. Baumgarten, M. Woolston, J.J. Rocca, High-average-power, 100-Hz-repetition-rate, tabletop soft-x-ray lasers at sub-15-nm wavelengths. Phys. Rev. A 89, 053820 (2014)
N. Lemos, P. King, J.L. Shaw, A.L. Milder, K.A. Marsh, A. Pak, B.B. Pollock, C. Goyon, W. Schumaker, A.M. Saunders, D. Papp, R. Polanek, J.E. Ralph, J. Park, R. Tommasini, G.J. Williams, H. Chen, F.V. Hartemann, S.Q. Wu, S.H. Glenzer, B.M. Hegelich, J. Moody, P. Michel, C. Joshiand, F. Albert, X-ray sources using a picosecond laser driven plasma accelerator. Phys. Plasmas 26, 083110 (2019)
M. Kumar, V.K. Tripathi, Y.U. Jeong, Laser driven terahertz generation in hot plasma with step density profile. Phys. Plasmas 22, 063016 (2015)
C. Joshi, The nonlinear optics of plasmas. Phys. Scr. 30, 94 (1990)
Q. Feng, L. Cao, Z. Liu, C. Zhengand, X. He, Stimulated Brillouin scattering of backward stimulated Raman scattering. Sci. Rep. 10, 3492 (2020)
N. Gupta, Self focusing and axial phase modulation of laser beams carrying orbital angular momentum in collisionless plasmas. J. Opt. Quant. Electron. 53, 608 (2021)
M.N. Rosenbluth, C.S. Liu, Excitation of plasma waves by two laser beams. Phys. Rev. Lett. 29, 701 (1972)
T. Tajima, J.M. Dawson, Laser electron accelerator. Phys. Rev. Lett. 43, 267 (1979)
C. Darrow, W.B. Mori, T. Katsouleas, C. Joshi, D. Umstadter, C.E. Clayton, Electrostatic mode coupling of beat-excited electron plasma waves. IEEE Trans. Plasma Sci. 15, 107 (1987)
C. Darrow, D. Umstadter, T. Katsouleas, W.B. Mori, C.E. Clayton, C. Joshi, Saturation of beat-excited plasma waves by electrostatic mode coupling. Phys. Rev. Lett. 56, 2629 (1986)
M.K. Gupta, R.P. Sharma, V.L. Gupta, Cross focusing of two laser beams and plasma wave excitation. Phys. Plasmas 12, 123101 (2005)
P.K. Tiwari, V.K. Tripathi, Laser beat-wave excitation of plasma waves in a clustered gas. Phys. Scr. 73, 393 (2006)
B. Amini, F.F. Chen, Thomson-scattering detection of plasma waves excited by two laser beams. Phys. Rev. Lett. 53, 1441 (1984)
A. Thakur, J. Berakdar, Self-focusing and defocusing of twisted light in non-linear media. Opt. Express 26, 27691 (2010)
L. Sa, J. Vieira, Self-focusing of multiple interacting Laguerre-Gauss beams in Kerr media. Phys. Rev. A 100, 013836 (2019)
D. Anderson, M. Bonnedal, M. Lisak, Nonlinear propagation of elliptically shaped Gaussian laser beams. J. Plasma Phys. 23, 115 (1980)
D. Anderson, M. Bonnedal, Variational approach to nonlinear self-focusing of Gaussian laser beams. Phys. Fluids 22, 105 (1979)
Author information
Authors and Affiliations
Corresponding author
Additional information
Publisher's Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
About this article
Cite this article
Gupta, N., Alex, A.K., Johari, R. et al. Excitation of electron plasma wave by self-focused Laguerre–Gaussian laser beams in axially inhomogeneous plasma: effect of orbital angular momentum of photons. J Opt (2023). https://doi.org/10.1007/s12596-023-01560-9
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/s12596-023-01560-9