Abstract
A gyrating ion beam, with a ring-shaped distribution in velocity, supports negative energy beam modes near the harmonics of beam gyro-frequency. An investigation of the non-linear interaction of high-frequency whistler waves with the negative energy beam cyclotron mode is made. A non-linear dispersion relation is derived for the coupled modes. It is shown that a gyrating ion-beam frequency upconverts the whistler waves separated by harmonics of beam gyro-frequency. The expression for the growth rate of whistler mode waves has been derived. In Case 1, a high-amplitude whistler wave decays into two lower frequency waves, called a low-frequency mode and a side band of frequency lower than that of pump wave. In Case 2 a high-amplitude whistler wave decays into two lower frequency daughter waves, called the low-frequency mode and whistler waves. Generation mechanism of these waves has application in space and laboratory plasmas.
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References
R Z Sagadeev and A A Galeev,Non-linear plasma theory (Benjamin, New York, 1969)
A A Galeev and R Z Sagadeev,Nucl. Fusion 13, 603 (1973)
K Nishikawa and C S Liu,Adv. Plasma Phys. 6, 3 (1976)
C S Liu and P K Kaw,Adv. Plasma Phys. 6, 83 (1976)
M Porkolab,Nucl. Fusion 18, 367 (1978)
O P Sharma, V K Tripathi and C S Liu,Phys. Fluids 25, 1598 (1982)
B Coppi, M N Rosenbluth and R N Sudan,Ann. Phys. 55, 207 (1969)
M N Rosenbluth, B Coppi and R N Sudan,Ann. Phys. 55, 248 (1969)
S Bujarbarua, P K Shukla and A C Das,Planet Space Sci. 28, 1051 (1980)
O P Sharma and V L Patel,Phys. Fluids 28(11), 3328 (1985)
S S Sazhin, M Hayakawa and K Bullough,Ann. Geophys. 10, 293 (1992)
R P Singh,Indian J. Radio Space Phys. 22, 139 (1993)
B D Pried and S D Conte,The plasma dispersion function (Academic Press, New York, 1961)
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Jalori, H., Singh, S.K. & Gwal, A.K. Upconversion of whistler waves by gyrating ion beams in a plasma. Pramana - J Phys 63, 595–610 (2004). https://doi.org/10.1007/BF02704486
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DOI: https://doi.org/10.1007/BF02704486