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Nonlinear High Harmonics Generation in REB-Plasma System

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DOI: 10.4236/jmp.2011.22013    4,020 Downloads   7,707 Views   Citations

ABSTRACT

The interaction of a relativistic electron beam (REB) with inhomogeneous, magneto-active, relativistic warm plasma is theoretically investigated. The nonlinear formation of waves at second and triple frequency at the inlet of the beam into the plasma is investigated. Effects of external static or oscillating magnetic field are considered. Nonlinear effects associated with the generation of second and triple harmonics, play an important role in the process of energy transfer from the beam to the plasma as compared with linear stage.

Conflicts of Interest

The authors declare no conflicts of interest.

Cite this paper

S. Khalil and M. Al-Enazi, "Nonlinear High Harmonics Generation in REB-Plasma System," Journal of Modern Physics, Vol. 2 No. 2, 2011, pp. 79-86. doi: 10.4236/jmp.2011.22013.

References

[1] G. P. Gupta, et al.,“Relativistic Electron Beam Heating of a Hydrogen Plasma in Open Confinement Systems: Theoretical Model,” Physics of Fluids, Vol. 31, 1988, p. 606.
[2] G. C. A. M. Janssen, et al., “Plasma Heating by a Relativistic Electron Beam,” Physics of Fluids, Vol. 27, 1984, p. 726.
[3] L. E. Thodem, “Effect of Electron-Ion Collisions on the Nonlinear State of the Relativistic Two-Stream Instability,” Physics of Fluids, Vol. 20, 1977, p. 2121.
[4] D. A. Hammer, et al., “Collective Beam-Plasma Interaction for REB Passed through Inhomogeneous Low-Density Plasma,” IEEE Transactions on Plasma Science, Vol. 7, 1986, p. 83.
[5] P. H. De Hann, et al., “Injection of a Relativistic Electron Beam into Neutral Hydrogen Gas,” Physics of Fluids, Vol. 25, 1982, p. 592.
[6] M. Friedman, et al., “High-Power Modulated Intense Relativistic Electron Sources with Applications to RF Generation and Controlled Thermonuclear Fusion,” IEEE Transactions on Plasma Science, Vol. 14, 1986, p. 201.
[7] D. Umstadter, “Topical Review: Relativistic Laser-Pla- sma Interactions,” Journal of Physics D: Applied Physics, Vol. 36, 2003, p. 151.
[8] S. L. Voronov, et al., “Control of Laser High-Harmonic Generation with Counter Propagating Light,” Physics Review Letter, Vol. 87, 2001, p.133902. doi:10.1103/PhysRevLett.87.133902
[9] D. Dahiya, et al., “Phase-Matched Second- and Third- Harmonic Generation in Plasmas with Density Ripple,” Physics of Plasmas Vol. 14, 2007, p. 123104. doi:10.1063/1.2817088
[10] P. Gibbon, “High Order Harmonic Generation in Plasmas,” IEEE Journal of Quantum Electronics, Vol. 33, 1997, p. 1915. doi:10.1109/3.641306
[11] E. C. Jarque and L. Plaja, “Harmonic Filtering in an Optically Laser-Generated Plasma,” Physics Review, E, Vol. 58, 1998, p. 7864. doi:10.1103/PhysRevE.58.7864
[12] R. Lichters, et al., “Short- Pulse Laser Harmonics from Oscillating Plasma Surfaces Driven at Relativistic Intensity,” Physics of Plasmas, Vol. 3, 1996, p. 3425. doi:10.1063/1.871619
[13] Biedron et al, “The Sensitivity of Nonlinear Harmonic Generation to Electron Beam Quality in Free Electron Lasers,” Nuclear Instruments and Methods in Physics Research A, Vol. 483, 2002, p. 1. doi:10.1016/S0168-9002(02)00292-9
[14] P. B. Corkum and F. Krausz, “Attosecond Science,” Nature Physics, Vol. 3, 2007, p. 381. doi:10.1038/nphys620
[15] G. D. Tsakiris, et al., “Route to Intense Single Attosecond Pulses,” New Journal of Physics, Vol. 8, 2006, p. 19. doi:10.1088/1367-2630/8/1/019
[16] B. Dromey, et al., “High Harmonic Generation in the Relativistic Limit,” Nature Physics, Vol. 2, 2006, p. 456. doi:10.1038/nphys338
[17] M E Dieckmann et al., “Simulation Study of the Filamentation of Counter-Streaming Beams of the Electrons and Positrons in Plasmas,” Plasma Physics and Controlled Fusion, Vol. 51, 2009, p. 065015.
[18] W. Rozmus et al., “Propagation of High Order Harmonics in Dense Relativistic Plasmas,” 32nd EPS Conference on Plasma Phys. Tarragona, 27 June - 1 July 2005 ECA Vol.29C, O-1.006 (2005)
[19] G. I. Pert, “Optimizing the Performance of Nickel-Like Collisionally Pumped X-Ray Lasers. II. Lasers for the Wavelength Range 50--100\AA,” Physical Review A, Vol. 75, 2007, p. 023808. doi:10.1103/PhysRevA.75.023808
[20] F. Gruener, et al., “Design Considerations for Table-Top, Laser-Based VUV and X-Ray Free Electron Lasers,” Applied Physics B, Vol. 86, 2007, p. 431. doi:10.1007/s00340-006-2565-7
[21] Sh. M. Khalil, et al., “Wave Generation in Relativistic Plasma Layer,” Physica Scripta, Vol. 30, 1984, p. 357. doi:10.1088/0031-8949/30/5/012
[22] Sh. M. Khalil and R.N. El-Sherif, “Second Harmonic Generation in Inhomogeneous Anisotropic Plasma Due to Beam- Plasma Interaction,” 16th European Conference on Controlled Fusion and Plasma Physics, March, 13-17, Venice, Italy, 13B/IV, 1989, p. 1433.
[23] Sh. M. Khalil and N. G. Zaki, “REB Heating of Inhomogeneous Anisotropic Plasma,” International Conference on Phenomena in Ionized Gases, ICPIGXIX, 10-14 July, Belgrade,Yugoslavia, PS/G 4, 1989, p. 906.
[24] J. Krasnoselskikh et al., “Beam-Plasma Interaction in Randomly Inhomogeneous Plasmas” Journal of Geophysical Research, Vol. 112, 2007, p. A10109. L. N. Vyacheslavov, 30th EPS Conference on Contr. Fusion and Plasma Physics, St. Petersburg, 7-11 July 2003 ECA Vol. 27A, p. 2.24.
[25] V. Krasnoselskikh, and K. Evgen, “Beam Plasma Interaction in Strongly Inhomogeneous Plasma,” Geophysical Research Abstracts, Vol. 12, 2010, p. 11744.
[26] Sh. M. Khalil, K. H. El-Shorbagy and E. N. El-Siragy, “Minimizing Energy Losses in Inhomogeneous Plasma Filled Waveguide Using Electron Beam,” Contribution to Plasma Physics, Vol. 42, 2002, p. 67. doi:10.1002/1521-3986(200201)42:1<67::AID-CTPP67>3.0.CO;2-C
[27] Sh. M. Khalil, Y. A. Sayed, K.H. El-Shorbagy and A. T. Gendy, “Field Stability by an Electron Beam in Warm Magnetized Plasma-Filled Waveguide,” Proceeding: Bilateral Seminar of the International Bureau, Forsch- ungszentrum - Julich, Germany, Vol. 34, 2004, p. 283.

  
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