Abstract
We study the nonlinear interactions of an inhomogeneous cold beam of electrons of arbitrary density with an inhomogeneous cold plasma in the presence of an external static magnetic field. The formation of waves of double frequency at the inlet of the beam into the plasma is considered. Far enough from the plasma boundary inwards, the external static magnetic field may increase the amplitude of the fundamental waves, and the electric field component of waves with double frequency will remain stronger than that of the basic frequency. In addition, it is found that the inhomogeneity of electron beams has more effect on the generation of the second harmonic wave.
Similar content being viewed by others
References
G. P. Gupta, T. Vijayan and V. K. Rohatgi Phys. Fluids 31 606 (1988).
L. E. Thode Phys. Fluids 20 2121 (1977).
G. C. A. M. Janssen, J. H. M. Bonnie, E. H. A. Granneman, V. I. Krementsov and H. J. Hopman Phys. Fluids 27 726 (1984).
D. A. Hammer, K. A. Gerber, W. F. Dove, G. C. Goldenbaum, B. G. Logan, K. Papadopoulos and A. W. Ali Phys. Fluids 21 483 (1978).
P. H. de Haan, G. C. A. M. Janssen, H. J. Hopman and E. H. A. Granneman Phys. Fluids 25 592 (1982).
M. Friedman, V. Serlin, A. Drobot and A. Mondelli IEEE Trans. Plasma Sci. Ps-14 201 (1986).
Kh. H. El-Shorbagy and M. S. Alhuthali Int. Math. Forum 4 767 (2009).
Kh. H. El-Shorbagy, R. N. El-Sharif and B. M. Dakhel Adv. Stud. Theor. Phys. 6 1389 (2012).
Kh. H. El-Shorbagy, B. M. Dakhel and E. O. Alzahrani Phys. Wave Phen. 22 56 (2014).
V Cadez and S Vukovic 3rd int. Kiev Conf. on Plasma Theory, Trieste, Italy 13 p 732 (1977).
K. Gopal, Md. A. Raja, D. N. Gupta, K. Avinash and S. C. Sharma Indian J. Phys 92 919 (2018).
M. A. Abdou Indian J. Physics 93 537 (2019).
H. M. Baskonus, T. A. Sulaiman and H. Bulut Indian J. physics 93 393 (2019).
W. H. Amein, V. V. Dologopolov, A. M. Hussein and K. E. Zayed Plasma Physics 17 497 (1975).
A. A. Ivanov, N. G. Popkov, J. Wilhelm and R. Winkler Beitr Plasma Phys. 7 23 (1984).
N. G. Zaki and Kh. H. EL-Shorbagy Egypt J. Phys. 29 203 (1999).
W. M. Sahyouni and Kh. H. EL-Shorbagy Arab J. Nucl. Sci. Appl. 32 185 (1999).
M. V. Kuzelev and E. A. Khapaeva Plasma Phys. Rep. 38 551 (2012).
Author information
Authors and Affiliations
Corresponding author
Additional information
Publisher's Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
About this article
Cite this article
El-Shorbagy, K.H., El-Bendary, A.A. & Mahassen, H. Nonlinear interaction of the inhomogeneous electron beam with magnetized inhomogeneous cold plasma. Indian J Phys 96, 289–292 (2022). https://doi.org/10.1007/s12648-020-01963-5
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s12648-020-01963-5