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Języki publikacji
Abstrakty
The periodic absolute parametric instability (API) of the low-frequency oscillations excited by a monochromatic pumping field of an arbitrary amplitude in a warm 1-D (one-dimensional) nonuniform magnetoactive plasma is investigated. The separation method can be used for solving the two-fluid plasma equations describing the system. By applying this method we were able to determine the frequencies and growth rates of unstable modes and the self-consistent electric field. Plasma electrons are considered to have a thermal velocity. Different solutions for the spatial equation can be obtained the following cases: A) API in a uniform plasma, B) API in a nonuniform plasma. The latter has been studied here for two cases: B.1) the exact harmonic oscillator and B.2) the bounded harmonic oscillator (a bounded plasma). An increment has been found in the build-up of the oscillations, and it has been shown that the spatial nonuniformity of the plasma exerts the stabilizing effect on the parametric instability. A reduced growth rate of API in the warm plasma, in comparison to the cold plasma, is reported. It has also been found that the warmness of the plasma has no effect on the solution of the space part of the problem (only through the separation constant).
Czasopismo
Rocznik
Tom
Strony
305--309
Opis fizyczny
Bibliogr. 18 poz.
Twórcy
autor
autor
- Plasma and Nuclear Fusion Department, Nuclear Research Centre, Atomic Energy Authority, P. O. 13759, Cairo, Egypt, Mobile: 0104 943 245, Fax: (00202) 2492 8604, easternone15us@yahoo.com
Bibliografia
- 1. Abramowitz M, Stegn I (1964) Handbook of mathematical functions. National Bureau of Standards, Washington, DC
- 2. Aliev YuM, Ferlengi E (1970) Parametric excitation of surface oscillations of a plasma by an external high frequency field. Sov Phys JETP 30:877–886
- 3. Aliev YuM, Silin VP (1965) Plasma oscillations in a high-frequency electric field. Sov Phys JETP 21:601–607
- 4. Demchenko VV, El-Shorbagy KhH, Khalil ShM, Zaki NG (1998) Absolute parametric instability in a nonuniform cylindrical plasma waveguide. In: Proc of the 15th National Radio Science Conf, 24–26 February 1998, Helwan University, Cairo, Egipt. H1, IEEE Catalog no. 98EX109
- 5. Demchenko VV, El-Shorbagy KhH, Khalil ShM, Zaki NG (1998) The effect of a HF electric field on the propagation of an electrostatic wave in a nonuniform plasma waveguide. Phys Scr 57:442–446
- 6. Demchenko VV, El-Siragy NM (1973) The effect of plasma resonance on the propagation of surface waves along plasma-vacuum Chanel. Annalen der Physik 29:47–62
- 7. Demchenko VV, Khalil ShM, El-Shorbagy KhH, Zaki NG (2002) Separation method a tool to investigate the problem of absolute parametric instability in a nonuniform bounded plasma. In: Proc of the 19th National Radio Science Conf, 19–21 March 2002, Alexandra, Egypt. H2, IEEE Catalog no. 02EX567
- 8. Demchenko VV, Omel’chenko AYa (1976) Absolute parametric instability of low-frequency waves in a nonuniform anisotropic plasma. Sov Phys Radiophys Quant Elektron 19:689–691
- 9. Demchenko VV, Omel’chenko AYa (1976) On the problem of parametric resonance in a cold inhomogeneous isotropic plasma. Sov Phys Radiophys Quant Elektron 19:332–334
- 10. Dendy R (1999) Plasma physics: an introductory course. Cambridge University Press, New York
- 11. El-Shorbagy KhH (2000) HF electric field effect on Buneman’s instability in a relativistic plasma waveguide. Phys Scr 62:186–188
- 12. El-Shorbagy KhH (2001) Stabilization effect of a strong HF electric field on beam-plasma interaction in a relativistic plasma waveguide. Phys Lett A 287:120–124
- 13. El-Shorbagy KhH (2007) The effects of relativistic warm plasma waveguide and high frequency electrical field on beam-plasma interaction. Acta Phys Pol A 112;1:41–48
- 14. Silin VP (1965) Parametric resonance in plasma. Sov Phys JETP 21:1127–1134
- 15. Zaki NG (2004) Propagation of an electrostatic wave in a nonuniform warm plasma waveguide. Arab J Nucl Sci Appl 35;2:311–326
- 16. Zaki NG (2009) Investigation of the periodic absolute parametric instability in a nonuniform cylindrical warm plasma waveguide. Arab J Nucl Sci Appl 42;3:203–212
- 17. Zaki NG (2009) On the study of an electrostatic wave propagation in a plane nonuniform relativistic warm plasma waveguide. Arab J Nucl Sci Appl 42;4:112–122
- 18. Zaki NG (2010) Absolute parametric instability of low-frequency waves in a 2D nonuniform anisotropic warm plasma. Pramana-J Phys 74;5:755–763
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BUJ8-0007-0019