Hostname: page-component-848d4c4894-ndmmz Total loading time: 0 Render date: 2024-05-14T07:04:08.864Z Has data issue: false hasContentIssue false
  • English
  • Français

Bernstein mode acceleration of electrons in a magnetic mirror

Published online by Cambridge University Press:  05 March 2020

Ram Jeet  and
Asheel Kumar Open the ORCID record for Asheel Kumar [Opens in a new window]
Ram Jeet
Affiliation:
Department of Physics, University of Allahabad, Allahabad211002, Uttar Pradesh, India
Asheel Kumar*
Affiliation:
Department of Physics, University of Allahabad, Allahabad211002, Uttar Pradesh, India
*
Author for correspondence: A. Kumar, Department of Physics, University of Allahabad, Prayagraj-211002. E-mail: asheel2002@yahoo.co.in
Get access Rights & Permissions [Opens in a new window]

Abstract

Electron dynamics in an axially localized large amplitude electron Bernstein mode in a magnetic mirror is studied. The mode is localized due to plasma density and magnetic field profiles and could be driven by an electron cyclotron wave, launched from outside, via linear mode conversion. Energetic electrons of finite gyro-radius resonantly interact with the mode and gain primarily transverse energy favoring stronger mirror confinement. At Bernstein wave normalized amplitude of A00 = 0.01 and for other normalized parameters Zn0 = 40, k⊥c/ω = 10, ${L}^{\prime}_m = 215$, ωc0/ω = 0.9, ψn0 = 3π/2, the electrons can gain energy in the hundreds of keV range.

Keywords

Electron accelerationelectron Bernstein wavesmagnetic mirrorplasma confinement
Type
Research Article
Information
Laser and Particle Beams , Volume 38 , Issue 2 , June 2020 , pp. 79 - 83
Copyright
Copyright © The Author(s) 2020. Published by Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Armstrong, RJ, Rasmussen, JJ, Stenzel, RL and Trulsen, J (1981) Observations of obliquely propagating electron Bernstein waves. Physics Letters A 85A, 281–284.CrossRefGoogle Scholar
Baiwen, LI, Ishiguro, S, Skoric, MM, Takamaru, H and Sato, T (2004) Acceleration of high-quality, well-collimated return beam of relativistic electrons by intense laser pulse in a low-density plasma. Laser and Particle Beams 22, 307–314.CrossRefGoogle Scholar
Balakirev, VA, Karas, VI, Karas, IV and Levchenko, VD (2001) Plasma wake-field excitation by relativistic electron bunches and charged particle acceleration in the presence of external magnetic field. Laser and Particle Beams 19, 597–604.CrossRefGoogle Scholar
Belaouar, R, Tikhonchuk, VT, Colin, T and Gallice, G (2007) Quasi-linear electron acceleration in a driven plasma wave. Plasma Physics and Controlled Fusion 49, 969–984.CrossRefGoogle Scholar
Bingham, R, Mendonca, JT and Shukla, PK (2004) Plasma based charged-particle accelerators. Plasma Physics and Controlled Fusion 46, R1–R23.CrossRefGoogle Scholar
Esarey, E, Schroeder, CB and Leemans, WP (2009) Physics of laser-driven plasma-based electron accelerators. Reviews of Modern Physics 81, 1229–1285.CrossRefGoogle Scholar
Everett, M, Lal, A, Gordon, D, Clayton, CE, Marsh, KA and Joshi, C (1994) Trapped electron acceleration by a laser-driven relativistic plasma wave. Nature 368, 527–529.CrossRefGoogle Scholar
Faure, J, Glinec, Y, Pukhov, A, Kiselev, S, Gordienko, S, Lefebvre, E, Rousseau, J-P, Burgy, F and Malka, V (2004) A laser–plasma accelerator producing mono-energetic electron beams. Nature 431, 541–544.CrossRefGoogle Scholar
Forest, CB, Harvely, RW and Smirnov, AP (2001) Power deposition by mode converted electron Bernstein waves in the DIII-D ‘heat pinch' experiments. Nuclear Fusion 41, 619–623.CrossRefGoogle Scholar
Gekelman, W and Stenzel, RL (1975) Large, quiescent, magnetized plasma for wave studies. Review of Scientific Instruments 46, 1386–1393.CrossRefGoogle Scholar
Gupta, DN and Suk, H (2007) Electron acceleration to high energy by using two chirped lasers. Laser and Particle Beams 25, 31–36.CrossRefGoogle Scholar
Hogan, MJ, Barnes, CD, Clayton, CE, Decker, FJ, Deng, S, Emma, P, Huang, C, Iverson, RH, Johnson, DK, Joshi, C, Katsouleas, T, Krejcik, P, Lu, W, Marsh, KA, Mori, WB, Muggli, P, O'Connell, CL, Oz, E, Siemann, RH and Walz, D (2005) Multi-GeV energy gain in a plasma-wake-field accelerator. Physical Review Letters 95, 054802–054806.CrossRefGoogle Scholar
Joshi, C and Malka, V (2010) Focus on laser- and beam-driven plasma accelerators. New Journal of Physics 12, 045003–045008.CrossRefGoogle Scholar
Kitagawa, Y, Matsumoto, T, Minamihata, T, Sawai, K, Matsuo, K, Mima, K, Nishihara, K, Azechi, H, Tanaka, KA, Takabe, H and Nakai, S (1992) Beat-wave excitation of plasma wave and observation of accelerated electrons. Physical Review Letters 68, 48–51.CrossRefGoogle ScholarPubMed
Kumar, A, Pandey, BK and Tripathi, VK (2010) Charged particle acceleration by electron Bernstein wave in a plasma channel. Laser and Particle Beams 28, 409–414.CrossRefGoogle Scholar
Laqua, HP, Erckmann, V, Hartful, HJ, Laqua, H and W7-AS Team & ECRH Group (1997) Resonant and non resonant electron cyclotron heating at densities above the plasma cut-off by O-X-B mode conversion at the W7-As Stellarator. Physical Review Letters. 78, 3467–3470.CrossRefGoogle Scholar
Li, J, Xie, B-S, Sang, H-B, Hong, X-R, Zhang, S and Yu, MY (2009) Nonlinear laser-driven electron resonance acceleration in an inhomogeneous magnetic field. Applied Physics Letters 95, 161105–161105.CrossRefGoogle Scholar
Litos, M, Adli, E, An, W, Clarke, CI, Clayton, CE, Corde, S, Delahaye, JP, England, RJ, Fisher, AS, Frederico, J, Gessner, S, Green, SZ, Hogan, MJ, Joshi, C, Lu, W, Marsh, KA, Mori, WB, Muggli, P, Vafaei-Najafabadi, N, Walz, D, White, G, Wu, Z, Yakimenko, V and Yocky, G (2014) High-efficiency acceleration of an electron beam in a plasma wakefield accelerator. Nature 515, 92–95.CrossRefGoogle Scholar
Malik, HK, Kumar, S and Singh, KP (2008) Electron acceleration in a rectangular waveguide filled with unmagnetized inhomogeneous cold plasma. Laser and Particle Beams 26, 197–205.CrossRefGoogle Scholar
Malka, V (2012) Laser plasma accelerators. Physics of Plasmas 19, 055501–055511.CrossRefGoogle Scholar
Mangles, SPD, Murphy, CD, Najmudin, Z, Thomas, AGR, Collier, JL, Dangor, AE, Divall, EJ, Foster, PS, Gallacher, JG, Hooker, CJ, Jaroszynski, DA, Langley, AJ, Mori, WB, Norreys, PA, Tsung, FS, Visup, R, Walton, BR and Krushelnick, K (2004) Monoenergetic beams of relativistic electrons from intense laser–plasma interactions. Nature 431, 535–538.CrossRefGoogle ScholarPubMed
Muggli, P, Blue, BE, Clayton, CE, Deng, S, Decker, FJ, Hogan, MJ, Huang, C, Iverson, R, Joshi, C, Katsouleas, TC, Lee, S, Lu, W, Marsh, KA, Mori, WB, O'Connell, CL, Raimondi, P, Siemann, R and Walz, D (2004) Meter-scale plasma-wakefield accelerator driven by a matched electron beam. Physical Review Letters 93, 014802–014806.CrossRefGoogle Scholar
Nakajima, S and Abe, H (1988) Mode-conversion process and over dense plasma heating in the electron cyclotron range of frequencies. Physical Review A 38, 4373–4376.CrossRefGoogle Scholar
Pechhacker, R and Tsiklauri, D (2014) Three-dimensional particle-in-cell simulation of electron acceleration by Langmuir waves in an inhomogeneous plasma. Physics of Plasmas 21, 012903–012911.CrossRefGoogle Scholar
Purohit, G, Sharma, P and Sharma, RP (2010) Excitation of an upper hybrid wave by two intense laser beams and particle acceleration. Physics Letters A 374, 866–871.CrossRefGoogle Scholar
Singh, AK and Chandra, S (2017) Electron acceleration by pondermotive force in magnetized quantum plasma. Laser and Particle Beams, 35, 252–258.CrossRefGoogle Scholar
Sugai, H (1981) Mode conversion and local heating below the second electron cyclotron harmonic. Physical Review Letters 47, 1899–1901.CrossRefGoogle Scholar
Tajima, T and Dawson, JM (1979) Laser electron accelerator. Physical Review Letters 43, 267–270.CrossRefGoogle Scholar
Tochitsky, SYA, Narang, R, Filip, CV, Musumechi, PM, Clayton, CE, Yoder, RB, Marsh, KA, Rosenzweig, JB, Pellegrini, C and Joshi, C (2004) Experiments on laser driven beatwave acceleration in a ponderomotively formed plasma channel. Physics of Plasmas 11, 2875–2881.CrossRefGoogle Scholar
Umstadter, D, Kim, JK and Dodd, E (1996) Laser injection of ultrashort electron pulses into wakefield plasma waves. Physical Review Letters 76, 2073–2076.CrossRefGoogle ScholarPubMed
Walton, B, Najmudin, Z, Wei, MS, Marle, C, Kingham, RJ, Krushelnick, K, Dangor, AE, Clarke, RJ, Poulter, MJ, Hernande-Gomez, C, Hawkes, S, Neely, D, Collier, JL, Danson, CN, Fritzler, S and Malka, V (2002) Large-amplitude plasma wave generation with a high-intensity short-pulse beat wave. Optics Letters 27, 2203–2205.CrossRefGoogle ScholarPubMed
Wang, X, Zgadzaj, R, Fazel, N, Li, Z, Yi, A, Zhang, X, Henderson, W, Chang, Y-Y, Korzekwa, R, Tsai, H-E, Pai, C-H, Quevedo, H, Dyer, G, Gaul, E, Martinez, M, Bernstein, AC, Borger, T, Spinks, M, Donovan, M, Khudik, V, Shvets, G, Ditmire, T and Downer, MC (2013) Quasi-mono-energetic laser-plasma acceleration of electrons to 2 GeV. Nature Communications 4, 1988–1997.CrossRefGoogle Scholar
Yadav, VK and Bora, D (2004) Electron Bernstein wave generation in a linear plasma system. Physics of Plasmas 11, 4582–4588.CrossRefGoogle Scholar