Abstract
We study the effects of electron beam velocity spread, temperature, and self-fields on dispersion relation and growth rate in a Cherenkov radiation when an axial magnetic field is present. A generalized dispersion relation is derived and shown that in addition to cyclotron, FEL, and beam modes there are two other modes which are induced by thermal velocity of electron beam. For cyclotron mode, the effects of electron beam self-fields on the growth rate are investigated and shown that the growth rate in the presence of self-fields has a maximum value which is considerably greater than the saturation value of growth rate in the absence of self-fields. The optimum value of axial magnetic field at which the maximum growth can take place is determined for different electron beam densities. Then the effects of electron beam velocity spread and temperature on growth rate are studied and it is found that the electron beam temperature causes an increment in growth rate, while the velocity spread of electron beam has an opposite effect.
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References
V.L. Ginzburg, Dokl Akad. Nauk SSSR 56, 253 (1947)
M. Danos, S. Geschwind, H. Lashinsky, A. van Trier, Phys. Rev. 92, 828 (1953)
J. Walsh, B. Johnson, G. Dattolii, A. Renieri, Phys. Rev. Lett. 53, 779 (1984)
V.K. Tripathi, C.S. Liu, IEEE Trans. Plasma Sci. 17, 583 (1989)
E. Garate, R. Cook, P. Heim, R. Layman, J. Walsh, J. Appl. Phys. 58, 627 (1985)
I.J. Owensand, J.H. Brownell, J. Appl. Phys. 97, 104915 (2005)
W. Main, R. Cherry, E. Garate, Appl. Phys. Lett. 55, 1498 (1989)
H.P. Freund, Phys. Rev. Lett. 65, 2993 (1990)
E.P. Garate, C.H. Shaughnessy, J.E. Walsh, IEEE J. Quantum Electron. 23, 1627 (1987)
F. Ciocci, G. Dattoli, A. Doria, G.P. Gallerano, G. Schettini, A. Torre, Phys. Rev. A 36, 207 (1987)
I.J. Owens, J.H. Brownell, Phys. Rev. E 67, 036611 (2003)
B. Johnson, J. Walsh, Nucl. Instrum. Methods Phys. Res. A 237, 239 (1985)
D. Li, G. Huo, K. Imasak, M. Asakawa, Nucl. Instrum. Methods Phys. Res. A 606, 689 (2009)
A. Bhasin, B. Bhatia, Int. J. Comput. Appl. 52, 0975 (2012)
S.C. Sharma, A. Bhasin, Phys. Plasmas 14, 053101 (2007)
V.B. Asgekar, G. Dattoli, Opt. Commun. 255, 309 (2005)
I. de la Fuente, P.J.M. van der Slot, K.-J. Boller, Phys. Rev. ST Accel. Beams 10, 020702 (2007)
H. Fares, Nucl. Instrum. Methods Phys. Res. A 690, 111 (2012)
Y. Seo, E.H. Choi, G.S. Cho, J. Phys. D 33, 654 (2000)
G.S.G. Mishra, Nucl. Instrum. Methods Phys. Res. A 685, 35 (2012)
G. Kheiri, M. Esmaeilzadeh, Phys. Plasmas 20, 123107 (2013)
H.P. Freund, J.M. Antonsen Jr., Principles of Free-Electron Lasers (Chapman and Hall, London, 1996)
M. Esmaeilzadeh, H. Mehdian, J.E. Willett, Phys. Plasmas 10, 905 (2003)
F.M. Aghamir, N. Mahdizadeh, Phys. Plasmas 19, 032114 (2012)
L.-B. Kong, P.-K. Liu, L. Xiao, Phys. Plasmas 14, 053108 (2007)
L.-B. Kong, Z.-L. Hou, C.-R. Xie, Appl. Phys. Lett. 98, 261502 (2011)
E.B. Abubakirov, V.I. Belousov, V.N. Varganov, V.A. Gintsburg, N.F. Kovalev, N.G. Kolganov, M.I. Petelin, E.I. Soluyanov, Tech. Phys. Lett. 9, 533 (1983)
A.V. Savilov, Phys. Plasmas 16, 063103 (2009)
V.L. Bratman, N.S. Ginzburg, G.S. Nusinovich, P.S. Strelkov, M.I. Petelin, Int. J. Electron. 51, 541 (1981)
M. Esmaeilzadeh, H. Mehdian, J.E. Willett, Phys. Rev. E 65, 016501 (2001)
P. Jha, P. Kumar, Phys. Rev. E 57, 2256 (1998)
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Kheiri, G., Esmaeilzadeh, M. Effects of electron beam velocity spread, temperature, and self-fields on dispersion relation and growth rate for a Cherenkov radiation. Eur. Phys. J. D 69, 29 (2015). https://doi.org/10.1140/epjd/e2014-50626-0
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DOI: https://doi.org/10.1140/epjd/e2014-50626-0