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Broadband Wide-Angle Second Harmonic Generation in Magnetized Plasma: Double Resonant Effect

  • Oscillations and Waves in Plasma
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Abstract

Conditions for the phase synchronism between high-frequency electromagnetic waves with frequencies ω and 2ω propagating in magnetized plasma are investigated. The variety of the values of the plasma density and magnetic field, as well as of wave polarizations, obeying the synchronism conditions are shown to provide resonant broadband wide-angle nonlinear generation of the second harmonic of the pumping wave. Special attention is given to oblique propagation of interacting waves. The coupling strengths for the resonant mode conversion in magnetized collisional plasma are obtained. The double resonance ensuring efficient nonlinear generation of extraordinary mode in the vicinity of the electron cyclotron resonance (ω(2k) = ω ce ) is considered. Examples illustrating these nonlinear phenomena for some plasma and radiation parameters are presented.

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References

  1. Basic Plasma Physics, Ed. by A. A. Galeev and R. N. Sudan (North-Holland, Amsterdam, 1983, 1984), Vol.1.

  2. W. I. Kruer, The Physics of Laser-Plasma Interactions (Addison-Wesley, New York, 1988).

    Google Scholar 

  3. M-J. Lee and Y-D. Jung, Phys. Plasmas 22, 082105 (2015).

    Article  ADS  MathSciNet  Google Scholar 

  4. E. E. Titova, V. E. Iurov, O. M. Raspopov, V. Yu. Trakhtengerts, F. Jiricek, and P. Triska, Geophys. Rev. Lett. 11, 323 (1984).

    Article  ADS  Google Scholar 

  5. V. V. Zheleznyakov, Radiation in Astrophysical Plasmas (Kluwer, Dordrecht, 1996).

    Book  Google Scholar 

  6. J. A. Bittencourt, Fundamentals of Plasma Physics (Springer-Verlag, New York, 2004).

    Book  MATH  Google Scholar 

  7. P. H. Yoon, Phys. Plasmas 22, 082310 (2015).

    Article  ADS  Google Scholar 

  8. G. Brodin and L. Stenflo, Phys. Plasmas 22, 104503 (2015).

    Article  ADS  Google Scholar 

  9. R. W. Boyd, Nonlinear Optics (Academic, New York, 1992).

    Google Scholar 

  10. N. S. Erokhin, A. B. Shvartsburg, and S. A. Pulinets, Plasma Phys. Rep. 40, 194 (2014).

    Article  ADS  Google Scholar 

  11. S. C. Rand, W. M. Fisher, and S. L. Oliveira, J. Optical Soc. Am. B 25, 1106 (2008).

    Article  ADS  Google Scholar 

  12. V. L. Ginzburg, The Propagation of Electromagnetic Waves in Plasmas (Nauka, Moscow, 1967; Pergamon, Oxford, 1970).

    Google Scholar 

  13. I. Yu. Kostyukov and A. M. Pukhov, Phys. Usp. 58, 81 (2015).

    Article  ADS  Google Scholar 

  14. I. Yu. Kostyukov, A. Yu. Kryachko, and M. D. Tokman, Radiophys. Quant. Electron. 45, 795 (2002).

    Article  Google Scholar 

  15. V. G. Dorofeenko, G. V. Dorofeenko, and V. A. Turikov, Plasma Phys. Rep. 38, 466 (2012).

    Article  ADS  Google Scholar 

  16. D. R. Shklyar, in Plasma Heliogeophysics, Ed. by L. M. Zelenyi and I. S. Veselovskii (Fizmatlit, Moscow, 2008), Vol. 2, 496 [in Russian].

    Google Scholar 

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Correspondence to N. S. Erokhin.

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Published in Russian in Fizika Plazmy, 2018, Vol. 44, No. 2, pp. 217–225.

The article was translated by the authors.

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Shvartsburg, A.B., Erokhin, N.S. Broadband Wide-Angle Second Harmonic Generation in Magnetized Plasma: Double Resonant Effect. Plasma Phys. Rep. 44, 259–266 (2018). https://doi.org/10.1134/S1063780X18020125

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  • DOI: https://doi.org/10.1134/S1063780X18020125

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