Hostname: page-component-cd9895bd7-q99xh Total loading time: 0 Render date: 2024-12-27T09:41:15.607Z Has data issue: false hasContentIssue false
  • English
  • Français

Conversion efficiency of even harmonics of whistler pulse in quantum magnetoplasma

Published online by Cambridge University Press:  19 February 2019

Punit Kumar ,
Shiv Singh  and
Nafees Ahmad
Punit Kumar*
Affiliation:
Department of Physics, University of Lucknow, Lucknow-226007, India
Shiv Singh
Affiliation:
Department of Physics, University of Lucknow, Lucknow-226007, India
Nafees Ahmad
Affiliation:
Department of Physics, University of Lucknow, Lucknow-226007, India
*
Author for correspondence: Shiv Singh, Department of Physics, University of Lucknow, Lucknow-226007, India, E-mail: [email protected]
Get access Rights & Permissions [Opens in a new window]

Abstract

Study of even harmonic generation resulting from propagation of whistler pulse in homogeneous high-density quantum plasma immersed in an externally applied magnetic field, using the recently developed quantum hydrodynamic model is presented. The effects of quantum Bohm potential, quantum statistical pressure, and electron spin have been taken into account. The field amplitude of even harmonic of the whistler with respect to fundamental wave and the conversion efficiency for phase-mismatch has been analyzed. The conversion efficiency of harmonic radiation depends on the plasma electron density, magnetic field strength as well as the intensity of whistler pulse. The efficiency increases significantly with an increase in plasma density, magnetic field and whistler wave intensity. Higher conversion efficiency is observed in degenerate plasma for lower values of the static magnetic field as compared with classical plasma.

Keywords

Harmonic generationQHD modelQuantum plasmawhistler waves
Type
Research Article
Information
Laser and Particle Beams , Volume 37 , Issue 1 , March 2019 , pp. 5 - 11
Copyright
Copyright © Cambridge University Press 2019 

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

Abrahams, E, Kravchenko, SV and Sarachik, MP (2001) Metallic behavior and related phenomena in two dimensions. Reviews of Modern Physics 73, 251–266.Google Scholar
Agarwal, RN, Pandey, BK and Sharma, AK (2001) Resonant second harmonic generation of a millimeter wave in a Plasma filled waveguide. Physica Scripta 63, 243–246.Google Scholar
Aggarwal, M, Vij, S and Kant, N (2015) Wiggler magnetic field assisted second harmonic generation in clusters. European Physical Journal D: Atomic, Molecular and Optical Physics 69, 149.Google Scholar
Baker, DR and Hall, TA (1974) Direct measurement of the propagation of whistler wave packets. Plasma Physics 16, 901–907.Google Scholar
Banerjee, S (2002) High harmonic generation in relativistic laser–plasma interaction. Physics of Plasmas 9, 2393–2398.Google Scholar
Chabrier, G, Douchin, F and Potekhin, AY (2002) Dense astrophysical plasmas. Journal of Physics. Condensed Matter: An Institute of Physics Journal 14, 9133–9139.Google Scholar
Compernolle, BV, Bortnik, J, Pribyl, P, Gekelman, W, Nakamoto, M, Tao, X and Thorne, RM (2014) Direct detection of resonant electron pitch angle scattering by whistler waves in a laboratory Plasma. Physical Review Letters 112, 145006.Google Scholar
Compernolle, BV, An, X, Bortnik, J, Thorne, RM, Pribyl, P and Gekelman, W (2015) Excitation of chirping whistler waves in a laboratory Plasma. Physical Review Letters 114, 245002.Google Scholar
Ghorbanalilu, M (2012) Second and third harmonics generation in the interaction of strongly magnetized dense plasma with an intense laser beam. Laser and Particle Beams 30, 291–298.Google Scholar
Ghosh, B, Chandra, S and Paul, SN (2012) Relativistic effects on the modulational instability of electron plasma waves in quantum plasma. Pramana, Journal of Physics 78, 779–790.Google Scholar
Gupta, R, Prakash, V, Sharma, SC and Vijayshri, (2015). Interaction of an electron beam with whistler waves in magnetoplasmas. Laser and Particle Beam 33, 455–461.Google Scholar
Hass, F and Eliasson, B (2015) A new two-stream instability mode in magnetized quantum plasma. Physica Scripta 90, 088005.Google Scholar
Hartemann, FV, Siders, CW and Barty, CPJ (2008) Compton scattering in ignited thermonuclear Plasmas. Optical Society of America B 25, 167–174.Google Scholar
Iwai, A, Nakamura, Y, Bambina, A and Sakai, O (2015) Experimental observation and model analysis of second-harmonic generation in a plasma-metamaterial composite. Applied Physics Express 8, 056201.Google Scholar
Kant, N and Sharma, AK (2004) Effect of pulse slippage on resonant second harmonic of a short pulse laser in a plasma. Journal of Physics D: Applied. Physics 37, 998–1001.Google Scholar
Karavaev, AV, Gumerov, NA, Papadopoulos, K, Shao, X, Sharma, AS, Gekelman, W, Gigliotti, A, Pribyl, P and Vincena, S (2010) Generation of whistler waves by a rotating magnetic field source. Physics Plasmas 17, 012102.Google Scholar
Kaur, S, Sharma, AK and Salih, HA (2009) Resonant second harmonic generation of a Gaussian electromagnetic beam in a collisional magnetoplasma. Physics of Plasmas 16, 042509.Google Scholar
Krenz, JH and Kino, GS (1965) Harmonic generation and parametric oscillations in a Plasma. Journal of Applied Physics 36, 2387–2395.Google Scholar
Lai, D (2001) Matter in strong magnetic fields. Reviews of Modern Physics 73, 629–661.Google Scholar
Magnus, WCJ and Schoemaker, WJ (2002) Quantum transport in Submicron Devices. Berlin, Heidelberg: Springer.Google Scholar
Malka, V, Modena, A, Najmudin, Z, Dangor, AE, Clayton, AE, Marsh, KA, Joshi, C, Danson, C, Neely, D and Walsh, FN (1997) Second harmonic generation and its interaction with relativistic plasma waves driven by forward Raman instability in underdense plasmas. Physics of Plasmas 4, 1127–1131.Google Scholar
Malkin, VM, Fisch, NJ and Wurtele, JS (2007) Compression of powerful x-ray pulses to attosecond durations by stimulated Raman backscattering in plasma. Physical Review E 75, 026404.Google Scholar
Manfredi, G and Fexi, M (1996) Theory and simulation of classical and quantum echoes. Physical Review E 53, 6460–6470.Google Scholar
Martino, SD, Falanga, M and Tzenov, SI (2005) Whistleron gas in magnetized plasmas. Physics of Plasmas 12, 072308.Google Scholar
Mihailescu, A, Stancalie, V and Pais, V (2014) High harmonics generation at the interaction of an intense laser pulse with an overdense plasma layer. Journal of Physics: Conference Series. 508, 012019.Google Scholar
Mishra, AP, Brodin, G, Maklund, M and Shukla, PK (2010 a). Circulary polarized mode in magnetized spin plasmas. Journal of Plasma Physics 76, 857–864.Google Scholar
Mishra, AP, Brodin, G, Maklund, M and Shukla, PK (2010 b) Generation of Wakefields by whistler in spin quantum magnetoplasma. Physics of Plasmas 17, 122306.Google Scholar
Mishra, AP, Brodin, G, Marklund, M and Shukla, PK (2010 c) Localized whistlers in magnetized spin quantum plasmas. Physical Review E 82, 056406.Google Scholar
Opher, M, Silva, LO, Dauger, DE, Decyk, VK and Dawson, JM (2001) Nuclear reaction rates and energy in stellar plasmas; The effect of highly damped modes. Physics of Plasmas 8, 2454–2460.Google Scholar
Piovella, N, Cola, MM, Volpe, L, Schiavi, A and Bonifacio, R (2008) Three-dimensonal Wigner function descripition of the quantum free electron laser. Physical Review Letters 100, 044801.Google Scholar
Preece, WH (1894) Earth currents. Nature 49, 554.Google Scholar
Ren, H, Wu, Z and Chu, PK (2007) Dispersion of linear wave in quantum plasma. Physics of Plasmas 14, 062102.Google Scholar
Sharma, A and Tripathi, V (1993) Kinetic theory of a whistler-pumped free electron laser. Physics of Fluids B: Plasma Physics 5, 171–175.Google Scholar
Shukla, PK and Ali, S (2006) Nonlinear wave interactions in quantum magnetoplasmas. Physics of Plasmas 13, 112111.Google Scholar
Shukla, PK and Eliasson, B (2010) Nonlinear aspects of quantum plasma physics. Physics-Uspekhi 53, 51–76.Google Scholar
Starodubstev, M, Krafft, C, Thevenet, P and Kostrov, A (1999) Whistler wave emission by a modulated electron beam through transition radiation. Physics of Plasmas 6, 1427–1434.Google Scholar
Stenberg, G, Oscarsson, T, Andr, M, Vaivads, A, Backrud-Ivgren, M, Khotyaintsev, Y, Rosenqvist, L, Sahraoui, F, Cornilleau-Wehrlin, N, Fazakerley, A, Ludin, R and Decreau, ME (2007) Internal structure and spatial dimensions of whistler wave regions in the magnetopause boundary layer. Annales Geophysicae 25, 2439–2451.Google Scholar
Stenzel, RL (1975) Self-ducting of large-amplitude whistler waves. Physical Review Letters 35, 574–578.Google Scholar
Stenzel, RL (1976) Whistler wave propagation in a large magnetoplasma. Physics of Fluids 19, 857–864.Google Scholar
Streltsov, AV, Lampe, M, Manheimer, W, Ganguli, G and Joyce, G (2006) Whistler propagation in inhomogeneous plasma. Journal of Geophysical Research 111, 03216.Google Scholar
Tamaki, Y (1999) Highly efficient, phase-matched high-harmonic generation by a self-guided laser beam. Physical Review Letters 82, 1422–1425.Google Scholar
Tang, S, Kumar, N and Keitel, CH (2017) Plasma high-order-harmonic generation from ultraintense laser pulses. Physical Review E 95, 051201.Google Scholar
Trukhanova, MI (2013) Quantum hydrodynamics approach to the research of quantum effects and vorticity evolution in spin quantum plasmas. Progress of Theoretical and Experimental Physics 2013, 111101.Google Scholar
Vladimirov, SV and Tyshetskiy, YO (2011) On description of collisionless quantum plasma. Physics-Uspekhi 54, 1243–1256.Google Scholar
Volokitin, A, Krafft, C and Matthieussent, G (1995) Whistler waves produced by a modulated electron beam: Electromagnetic fields in the linear approach. Physics of Plasmas 2, 4297–4306.Google Scholar
Watanabe, H, Sugita, K and Nagao, S (1967) Collisional damping of the whistler mode in a dense plasma. Japanese Journal of Applied Physics 6, 634–644.Google Scholar