Abstract
Energy enhancement of electrons is a promising field of research due to its application in various fields of scientific research. The role of various parameters like plasma density, frequency chirp, laser pulse length and external magnetic field, etc., are studied and optimized for the enhancement of energy gain and energy efficiency of the acceleration scheme. In the recent study, we have chosen a novel laser pulse profile, i.e., sinh-squared-Gaussian laser pulse to study the effect of laser electric field and externally applied transverse static magnetic field. The generated laser wake potential, wakefield, and electron energy gain have a positive correlation with laser electric field strength and the strength of the external magnetic field. In our study, with an increase in magnetic field from 0 to 40 T (1 Tesla = 10 kilogauss) and laser electric field of \(4.81\times {10}^{11}\text{ V/m}\), generated wake potential increases from 164 to 183.59 kV, laser wakefield increases from 6.18 to 6.91 GV/m, and electron energy gain increases from 162.98 to 182.45 MeV. Our research will contribute to the development of a novel scenario for the augmentation of electron energy using magnetic fields.
Similar content being viewed by others
Data availability
The data that support the findings of this study are available from the corresponding authors upon reasonable request.
References
T. Tajima, J.M. Dawson, Laser electron accelerator. Phys. Rev. Lett. 43, 267 (1979)
T. Tajima, X.Q. Yan, T. Ebisuzaki, Wakefield acceleration. Rev. Mod. Plasma Phys. 4(1), 7 (2020)
V. Sharma, V. Thakur, Enhanced laser wakefield acceleration utilizing Hermite–Gaussian laser pulses in homogeneous plasma. J. Opt. (2023). https://doi.org/10.1007/s12596-023-01565-4
V. Sharma, S. Kumar, N. Kant, V. Thakur, Effect of wiggler magnetic field on wakefield excitation and electron energy gain in laser wakefield acceleration. Zeitschrift für Naturforschung A (2023). https://doi.org/10.1515/zna-2023-0238
S.V. Bulanov et al., On some theoretical problems of laser wake-field accelerators. J. Plasma Phys. 82(3), 905820308 (2016)
W. Lu, C. Huang, M. Zhou, W.B. Mori, T. Katsouleas, Nonlinear theory for relativistic plasma wakefields in the blowout regime. Phys. Rev. Lett. 96(16), 165002 (2006)
X. Feng, S. Lee, The beat-wave accelerator in a relativistic electron oscillation plasma. Phys. B At. Mol. Opt. Phys. 29, L373 (1996)
X. Feng, S. Lee, The beat-wave accelerator in a relativistic electron oscillation plasma. J. Phys. B At. Mol. Opt. Phys. 29(9), L373–L380 (1996)
V. Thakur, S. Kumar, N. Kant, Self-focusing of a Bessel–Gaussian laser beam in plasma under density transition. J. Nonlinear Opt. Phys. Mater. (2022). https://doi.org/10.1142/S0218863523500388
V. Thakur, N. Kant, Stronger self-focusing of a chirped pulse laser with exponential density ramp profile in cold quantum magnetoplasma. Optik (Stuttg) 172, 191–196 (2018)
N. Kant, A. Singh, V. Thakur, Second-harmonic generation by a chirped laser pulse with the exponential density ramp profile in the presence of a planar magnetostatic wiggler. Laser Part. Beams 37(4), 442–447 (2019)
V. Thakur, N. Kant, Resonant second harmonic generation of chirped pulse laser in plasma. Optik (Stuttg) 129, 239–247 (2017)
V. Thakur, N. Kant, Effect of pulse slippage on density transition-based resonant third-harmonic generation of short-pulse laser in plasma. Front. Phys. 11(4), 115202 (2016)
V. Sharma, V. Thakur, N. Kant, Third harmonic generation of a relativistic self-focusing laser in plasma in the presence of wiggler magnetic field. High Energy Density Phys. 32, 51–55 (2019)
H. K. Midha, V. Sharma, N. Kant, V. Thakur, Efficient THz generation by Hermite-cosh-Gaussian lasers in plasma with slanting density modulation. J. Opt. (2023). https://doi.org/10.1007/s12596-023-01413-5
M. Singh, R.K. Singh, R.P. Sharma, THz generation by cosh-Gaussian lasers in a rippled density plasma. EPL (Europhys. Lett.) 104(3), 35002 (2013)
S. Kumar, S. Vij, N. Kant, V. Thakur, Combined effect of transverse electric and magnetic fields on THz generation by beating of two amplitude-modulated laser beams in the collisional plasma. J. Astrophys. Astron. 43(1), 30 (2022)
S. Kumar, S. Vij, N. Kant, V. Thakur, Interaction of obliquely incident lasers with anharmonic CNTs acting as dipole antenna to generate resonant THz radiation. Waves Random Complex Media (2022). https://doi.org/10.1080/17455030.2022.2155330
S. Kumar, S. Vij, N. Kant, V. Thakur, Resonant terahertz generation by the interaction of laser beams with magnetized anharmonic carbon nanotube array. Plasmonics 17(1), 381–388 (2022)
S. Kumar, V. Thakur, N. Kant, Magnetically enhanced THz generation by self-focusing laser in VA-MCNTs. Phys. Scr. 98(8), 085506 (2023)
S. Kumar, N. Kant, V. Thakur, THz generation by self-focused Gaussian laser beam in the array of anharmonic VA-CNTs. Opt. Quantum Electron. 55(3), 281 (2023)
S. Kumar, S. Vij, N. Kant, V. Thakur, Resonant terahertz generation by cross-focusing of Gaussian laser beams in the array of vertically aligned anharmonic and magnetized CNTs. Opt. Commun. 513, 128112 (2022)
V. Thakur, N. Kant, S. Kumar, THz field enhancement under the influence of cross-focused laser beams in the m-CNTs. Trends Sci. 20(6), 5284 (2023)
S. Kumar, N. Kant, V. Thakur, Magnetically tuned THz radiation through the HA-HA-CNTs under the effect of a transverse electric field, Indian J. Phys. (2023)
H. K. Midha, V. Sharma, N. Kant, V. Thakur, Resonant Terahertz radiation by p-polarised chirped laser in hot plasma with slanting density modulation. J. Opt. (2023). https://doi.org/10.1007/s12596-023-01563-6
P.K. Shukla, Excitation of plasma waves by electromagnetic waves in magnetized plasmas. Phys. Fluids B 5(8), 3088–3091 (1993)
C.E. Clayton, C. Joshi, C. Darrow, D. Umstadter, Relativistic plasma-wave excitation by collinear optical mixing. Phys. Rev. Lett. 54(21), 2343–2346 (1985)
L.M. Gorbunov, V.I. Kirsanov, Excitation of plasma waves by an electromagnetic wave packet. JETP 93, 509–518 (1987)
H. Akou, Excitation of upper-hybrid plasma wake wave by a low-frequency extraordinary electromagnetic wave. Contrib. Plasma Phys. 61(1), e202000149 (2021)
V.B. Pathak, J. Vieira, R.A. Fonseca, L.O. Silva, Effect of the frequency chirp on laser wakefield acceleration. New J. Phys. 14(2), 023057 (2012)
V. Sharma, S. Kumar, N. Kant, V. Thakur, Effect of frequency chirp and pulse length on laser wakefield excitation in under-dense plasma. Braz. J. Phys. 53(6), 157 (2023)
C.B. Schroeder et al., Frequency chirp and pulse shape effects in self-modulated laser wakefield accelerators. Phys. Plasmas 10(5), 2039–2046 (2003)
V. Sharma, S. Kumar, To study the effect of laser frequency-chirp on trapped electrons in laser wakefield acceleration. J. Phys. Conf. Ser. 2267(1), 012097 (2022)
V. Sharma, S. Kumar, N. Kant, V. Thakur, Excitation of the Laser wakefield by asymmetric chirped laser pulse in under dense plasma. J. Opt. (2023). https://doi.org/10.1007/s12596-023-01326-3
D.N. Gupta, K. Gopal, I.H. Nam, V.V. Kulagin, H. Suk, Laser wakefield acceleration of electrons from a density-modulated plasma. Laser Part. Beams 32(3), 449–454 (2014)
V. Sharma, V. Thakur, Lasers wakefield acceleration in underdense plasma with ripple plasma density profile. J. Opt. (2023). https://doi.org/10.1007/s12596-023-01548-5
A. Döpp, E. Guillaume, C. Thaury, A. Lifschitz, K. Ta Phuoc, V. Malka, Energy boost in laser wakefield accelerators using sharp density transitions. Phys. Plasmas 23(5), 056702 (2016)
X. Zhang, V. Khudik, A. Bernstein, M. Downer, G. Shvets, Two-color hybrid laser wakefield and direct laser accelerator, in AIP Conf. Proc. vol. 1812, pp. 040011-1–040011 (2017)
P. Jha, A. Saroch, N. Kumar Verma, Wakefield generation via two color laser pulses. Phys. Plasmas 20(5), 053102 (2013)
V. Sharma, S. Kumar, N. Kant, V. Thakur, Enhanced laser wakefield by beating of two co-propagating Gaussian laser pulses. J. Opt. (2023). https://doi.org/10.1007/s12596-023-01250-6
V.B. Pathak, H.T. Kim, J. Vieira, L.O. Silva, C.H. Nam, All optical dual stage laser wakefield acceleration driven by two-color laser pulses. Sci. Rep. 8(1), 11772 (2018)
X. Zhang, T. Wang, V.N. Khudik, A.C. Bernstein, M.C. Downer, G. Shvets, Effects of laser polarization and wavelength on hybrid laser wakefield and direct acceleration. Plasma Phys. Control Fusion 60(10), 105002 (2018)
V. Sharma, S. Kumar, N. Kant, V. Thakur, Enhanced laser wakefield acceleration by a circularly polarized laser pulse in obliquely magnetized under-dense plasma. Opt. Quantum Electron. 55(13), 1150 (2023)
V. Sharma, N. Kant, V. Thakur, Effect of different Gaussian-like laser profiles on electron energy gain in laser wakefield acceleration. Opt. Quantum Electron. 56(1), 45 (2024)
H.R. Askari, A. Shahidani, Influence of properties of the Gaussian laser pulse and magnetic field on the electron acceleration in laser–plasma interactions. Opt. Laser Technol. 45, 613–619 (2013)
A. Dezhpour, S. Jafari, H. Mehdian, Effects of magnetic wiggler field and chirped laser pulse on the wakefield amplitude and electron energy gain in a wiggler-assisted laser wakefield accelerator. Eur. Phys. J. Plus 133(11), 473 (2018)
M. Abedi-Varaki, 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)
N.H. Mohammed, N.E. Cho, E.A. Adegani, T. Bulboaca, Geometric properties of normalized imaginary error function. Studia Universitatis Babes-Bolyai Matematica 67(2), 455–462 (2022)
H.R. Askari, A. Shahidani, Effect of magnetic field on production of wake field in laser–plasma interactions: Gaussian-like (GL) and rectangular–triangular (RT) pulses. Opt. Int. J. Light Electron. Opt. 124(17), 3154–3161 (2013)
Funding
Not applicable.
Author information
Authors and Affiliations
Contributions
VS contributed to derivation, methodology, analytical modeling, and graph plotting; HKM contributed to numerical analysis, NK contributed to numerical analysis and result discussion; VT contributed to supervision, reviewing, and editing.
Corresponding author
Ethics declarations
Conflict of Interest
The authors declare no competing interest.
Ethical approval
Not applicable.
Consent to participate
Not applicable.
Consent for publication
Not applicable.
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
Sharma, V., Midha, H.K., Kant, N. et al. Enhancing electron acceleration with sinh-squared Gaussian pulse under external magnetic fields. J Opt (2024). https://doi.org/10.1007/s12596-024-01671-x
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/s12596-024-01671-x