研究目的
To study the non-linear decay of plane polarized Alfven wave via anomalous Doppler resonance with an electron beam in a magnetized plasma and to derive the expressions for dispersion relation of Alfven waves and their growth rate.
研究成果
The plane polarized Alfven wave shows only cyclotron interaction with the beam mode and Cerenkov interaction is absent in the present case. For fast cyclotron interaction, the Alfven wave neither grows nor damps but there is an increment in Alfven wave frequency. However, for slow cyclotron interaction or anomalous Doppler resonance, the wave stabilizes with growth rate directly proportional to the beam density and inversely proportional to the external magnetic field. The wave frequency remains unaltered in the case of slow cyclotron interaction.
研究不足
The study is limited to the interaction of plane polarized Alfven waves with an electron beam in a magnetized plasma. The effects of other types of waves or interactions are not considered.
1:Experimental Design and Method Selection:
First order perturbation theory was employed to derive the expressions for dispersion relation of Alfven waves and their growth rate. Numerical calculations were carried out for growth rate and unstable mode frequencies for typical plasma parameters.
2:Sample Selection and Data Sources:
Typical parameters of plasma were used: electron number density neo=1013cm-3 and 1014cm-3, mass of electron me=9.1×10-28g, charge of electron e = 4.8×10-10ergs, magnetic field Bs = 0-1000 G and beam density nbo =2.8×109cm-
3:1×10-28g, charge of electron e = 8×10-10ergs, magnetic field Bs = 0-1000 G and beam density nbo =8×109cm-List of Experimental Equipment and Materials:
3.
3. List of Experimental Equipment and Materials: Not explicitly mentioned in the paper.
4:Experimental Procedures and Operational Workflow:
The interaction of an electron beam with plasma waves in magnetized plasma was studied to understand the stability confinement and heating of the plasma.
5:Data Analysis Methods:
Numerical calculations were performed to analyze the growth rate and unstable mode frequencies.
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