Helicon waves in a cylindrical plasma

1999 ◽  
Vol 77 (5) ◽  
pp. 385-391
Author(s):  
M Shoucri

The dispersion relation for helicon waves in a uniform bounded plasma is derived by including the finite electron mass. The eigenmodes are identified and the coupling mechanism between the Ez and Bz modes is discussed. This is important since an essential part of the physics associated with the application of helicon waves for the generation and heating of plasmas consists in coupling the whistler branch with the Ez mode, which can interact directly with the electrons.PACS No.: 52.35-g

1968 ◽  
Vol 2 (2) ◽  
pp. 283-289 ◽  
Author(s):  
R. L. Ferrari ◽  
J. P. Klozenberg

The dispersion equation for helicon waves in a plasma-filled wave-guide is derived. The relation between the solution and the quasi-static modes of Trivelpiece & Gould is discussed. An approximate dispersion relation, appropriate for cases where Ωe≫ ν ≫ ω, is obtained allowing the real and imaginary parts of the propagation constant to be expressed very simply in a normalized form. Curves are presented for this approximation.


1970 ◽  
Vol 4 (1) ◽  
pp. 43-50 ◽  
Author(s):  
B. Davies

We investigate the dispersion relation for travelling helicon waves in a uniform non-resistive plasma. We show that the effect of electron inertia for a cylindrical plasma bounded by conducting walls is qualitatively different from the plane wave case, leading to significant differences in the dispersion relation at all frequencies in the range 0 < ω < Ωe.


1975 ◽  
Vol 14 (1) ◽  
pp. 25-37 ◽  
Author(s):  
John D. Love

The normal modes of oscillation of a cold dielectric plasma ring are analysed in the quasi-electrostatic approximation. An exact dispersion relation is derived, valid for all aspect ratios. Its solutions are shown to be extremely close to those of an infinite cylindrical plasma with cross-section equal to the minor cross-section of the ring, when the cylinder is considered as a wavelength-preserving limit of the toroidal geometry.


1969 ◽  
Vol 11 (12) ◽  
pp. 1017-1019 ◽  
Author(s):  
M M Shoucri

2002 ◽  
Vol 11 (1) ◽  
pp. 10-26 ◽  
Author(s):  
V F Virko ◽  
G S Kirichenko ◽  
K P Shamrai
Keyword(s):  

1991 ◽  
Vol 44 (10) ◽  
pp. 3322-3327 ◽  
Author(s):  
Mahnaz Qader ◽  
Samina S. Masood ◽  
K. Ahmed

2021 ◽  
Vol 2021 ◽  
pp. 1-10
Author(s):  
Maryamsadat Rafiei ◽  
Mostafa Sahrai ◽  
Mahboub Hosseinpour ◽  
Abdolrasoul Esfandyari-Kalejahi

Two-dimensional electromagnetic particle-in-cell simulations are carried out to investigate the effect of ion-to-electron mass ratio on the evolution of warm electron beam-plasma instability. Four cases are considered: A: mi/me = 0 (two-electron stream instability); B: mi/me = 1 (pair plasma); C: mi/me = 100; and D: mi/me = 1000. It is shown that the generation of Langmuir waves in the fundamental mode of electron plasma frequency and the subsequent dynamics of large-amplitude solitons are not affected by the ion species. However, it determines the decay process of solitons and the excitation of electromagnetic waves in the second harmonic. In the first two cases, mi/me = 0 and 1, there is no sign of emission in the second harmonic, while the strongest emission in the second harmonic is found for the case of largest mass ratio, mi/me = 1000. This confirms the two-step wave-wave coupling mechanism for the generation of second harmonic electromagnetic waves, which requires the excitation of ion-acoustic waves in the first step. Moreover, the dispersion diagrams of all excited waves are presented.


1966 ◽  
Vol 19 (4) ◽  
pp. 501 ◽  

Theoretical results are obtained for the dispersion of helicon waves in a non-uniform cylindrical plasma. Although a direct comparison with the experimental data of Lehane and Thonemann cannot be made (due to simplifying assumptions in the present theory), a qualitative explanation is given for some of the discrepancies between their experimental results and the uniform plasma theory.


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