Abstract
A dispersion relation has been derived to study the stability of ion cyclotron (IC) propagation at the second harmonic of the minority component deuterium in a mirror confined plasma that has hydrogen as the majority species. We have worked in the frame of the majority ions; our dispersion relation can thus be used to study IC propagation in a single ion plasma also. Analysis of the dispersion relation yields two modes — one below and the other above the ion gyro-frequency ΘH of hydrogen. The expression for the growth rate is used to explicitly show that an instability can arise in the plasma when the loss-cone indexj⩾3; this instability being a result of the coalescing of the two modes supported by the plasma. Unfortunately, the minority component deuterium does not decrease this instability and thus the proposed scheme of IC heating at the second harmonic of the minority component seems unsuited to mirror devices.
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References
Askinasiet al 1989Plasma Phys. Contr. Fusion 31 1
Casper T A and Smith G R 1982Phys. Rev. Lett. 48 1015
Chandu Venugopal 1983Pramana—J. Phys. 21 1
Cuperman S and Metzler N 1971J. Plasma Phys. 6 541
Fuchs V and Bers A 1988Phys. Fluids 31 3702
Golovato S N, Brau K, Casey J, Gerver M J, Horne S, Irby J, Kesner J, Lane B, Machuzak J, Myer R, Post R S, Sevillano E and Wang L 1989Phys. Fluids B1 651
Hellsten T, Appert K, Vaclavik J and Villard L 1985Nucl. Fusion 25 99
Hwang D Q, Hosea J, Thompson J, Wilson J R, Davis S, Herndon D, Kaita R, Mueller D, Suckewer S, Daughney C and Colestock P 1983Phys. Rev. Lett. 51 1865
Ichimaru M, Inutake M, Adachi S, Sato D, Tsuboi F, Nakashima Y, Katanuma I, Itakura A, Mase A and Miyoshi S 1988Nucl. Fusion 28 799
Krapchev V B 1985Nucl. Fusion 25 455
Landau R W and Cuperman S 1971J. Plasma Phys. 6 495
Smith G R, Casper T A and Gerver M J 1983Nucl. Fusion 23 1381
Smith G R, Nevins W M and Sharp W M 1984Phys. Fluids 27 2120
Takahashi H, Daughney C C, Ellis R A Jr., Goldton R J, Hsuan H, Nagashima T, Paolini F J, Sivo A J and Suckewer S 1977Phys. Rev. Lett. 39 31
Turner W C, Powers E J and Simonen T C 1977Phys. Rev. Lett. 39 1087
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Venugopal, C., Kurian, P.J. & Renuka, G. Stability of second harmonic minority heating in magnetic mirror systems. Pramana - J Phys 37, 303–310 (1991). https://doi.org/10.1007/BF02847484
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DOI: https://doi.org/10.1007/BF02847484