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Absolute parametric instability in a nonuniform plane plasma waveguide

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Abstract

The paper reports an analysis of the effect of spatial plasma nonuniformity on absolute parametric instability (API) of electrostatic waves in magnetized plane waveguides subjected to an intense high-frequency (HF) electric field using the separation method. In this case the effect of strong static magnetic field is considered. The problem of strong magnetic field is solved in 1D nonuniform plane plasma waveguide. The equation describing the spatial part of the electric potential is obtained. Also, the growth rates and conditions of the parametric instability for periodic and aperiodic cases are obtained. It is found that the spatial nonuniformity of the plasma exerts a stabilizing effect on the API. It is shown that the growth rates of periodic and aperiodic API in nonuniform plasma are less compared to that of uniform plasma.

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Acknowledgements

Thanks are due to Deanship of Scientific Research, King Abdulaziz University, Jeddah, Saudi Arabia, for providing financial assistance in the form of research project (Project No. 155/130/1431).

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Authors and Affiliations

  1. Mathematics Department, Faculty of Science, King Abdulaziz University, Jeddah, Saudi Arabia

    KHALED HAMED EL-SHORBAGY & SHATHA JAMEEL MONAQUEL

  2. Plasma Physics and Nuclear Fusion Department, Nuclear Research Center, Atomic Energy Authority, Cairo, Egypt

    KHALED HAMED EL-SHORBAGY

  3. Physics Department, Faculty of Science, Tanta University, 31527, Tanta, Egypt

    ATEF AHMED EL-BENDARY

  4. College of Science and Humanity Studies, Salman Ibn Abdulazeez University, Solayl, Saudi Arabia

    ATEF AHMED EL-BENDARY

Authors
  1. KHALED HAMED EL-SHORBAGY
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  2. ATEF AHMED EL-BENDARY
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  3. SHATHA JAMEEL MONAQUEL
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Correspondence to KHALED HAMED EL-SHORBAGY.

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EL-SHORBAGY, K.H., EL-BENDARY, A.A. & MONAQUEL, S.J. Absolute parametric instability in a nonuniform plane plasma waveguide. Pramana - J Phys 80, 677–684 (2013). https://doi.org/10.1007/s12043-012-0495-y

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  • DOI: https://doi.org/10.1007/s12043-012-0495-y

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