Abstract
Linear conversion of the ordinary wave to the extraordinary wave and then to the Bernstein wave (O-X-B conversion) in a tokamak plasma is considered in the generalized geometric-optical approximation taking into account the relativistic effects in a dielectric permitivity tensor. Using the T-10 tokamak as an example, it is shown that even for a relatively low plasma temperature (about 1 keV at the plasma-column center) relativistic effects exert a notable influence on the cyclotron absorption of Bernstein waves. Power deposition profiles for O-X-B plasma heating are determined. The emission of spontaneously excited Bernstein waves resulting from the B-X-O conversion are considered.
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R. I. Pinsker, et al., in: Proc. 14th AIP Conf. RF Power in Plasmas, 2001, Vol. 595, p. 350.
V. F. Shevchenko, et al., Phys. Rev. Lett., 89, 265005 (2002).
V. F. Shevchenko, et al., in: Proc. 13th Joint Workshop on EC Emission and EC Heating, Nizhny Novgorod, Russia (2004), p. 162.
J. Preinhalter and V. J. Kopeĉky, J. Plasma Phys., 10, 1 (1973).
T. Maekawa, S. Tanaka, Y. Terumichi, and Y. Hamada, Phys. Rev. Lett., 40, 1379 (1978).
M. D. Tokman, Fiz. Plazmy, 10, 1205 (1985).
F. R. Hansen, J. P. Lynov, C. Mardi, and V. J. Petrillo, Plasma Phys., 39, 319 (1988).
A. V. Timofeev, Fiz. Plazmy, 26, 874 (2000).
A. V. Timofeev, Fiz. Plazmy, 27, 131 (2001).
A. V. Timofeev, Usp. Fiz. Nauk, 174, No. 6, 609 (2004).
F. Volpe, Electron Bernstein emission diagnostic of electron temperature profile at W7-AS Stellarator, Ph. D. Thesis, Greifswald, Ernst-Moritz-Arndt-Universitat (2003).
H. P. Laqua, et al., Phys. Rev. Lett., 78, 3467 (1997).
H. P. Laqua, et al., Plasma Phys. Contr. Fusion, 41, A273 (1999).
Pochelon, et al., in: Proc. VIth Int. Workshop Strong Microwaves in Plasmas, Nizhny Novgorod, Russia (2005), Paper H4.
V. F. Shevchenko, Fiz. Plazmy, 26, No. 12, 1068 (2000).
H. G. Booker, Phil. Trans. Roy. Soc. London, Ser. A, 237, 411 (1939).
V. L. Ginzburg, Propagation of Electromagnetic Waves in a Plasma [in Russian], Nauka, Moscow (1967).
A. I. Akhiezer, I. A. Akhiezer, R. V. Polovin, et al., The Plasma Electrodynamics [in Russian], Nauka, Moscow (1974).
V. V. Zheleznyakov, Radiation in Astrophysical Plasma [in Russian], Yanus-K, Moscow (1997).
M. A. Balakina, A. G. Shalashov, E. D. Gospodchikov, et al., “Geometric-optical modeling of the O-X-B conversion of electromagnetic radiation in tokamak plasmas” [in Russian], Preprint No. 677, Inst. Appl. Phys., Nizhny Novgorod (2005).
J. Preinhalter, J. Czech. J. Phys. B, 25, 39 (1975).
E. J. Mjølhus, Plasma Phys., 31, 7 (1984).
M. A. Balakina, O. B. Smolyakova, and M. D. Tokman, Contr. Papers 12th Joint Workshop on ECE and ECRH, Aix-en-Provence, France (2002), p. 53.
M. A. Balakina, O. B. Smolyakova, and M. D. Tokman, in: Proc. 29th EPS Conf. on Plasma Phys. and Controlled Fusion, 2002, Vol. 26B.
M. A. Balakina, O.B. Smolyakova, and M. D. Tokman, in: A. G. Litvak, ed., Strong Microwaves in Plasmas, Nizhny Novgorod (2003), Vol. 1, p. 417.
M. A. Balakina, M. D. Tokman, and O. B. Smolyakova, Fiz. Plazmy, 29, 60 (2003).
M. A. Balakina, Propagation of electron-cyclotron waves in a subrelativistic plasma [in Russian], Ph. D. Thesis, Nizhny Novgorod (2003).
E. Westerhof, Trans. Fusion Technology, 33, 139 (1998).
V. Krivenski and A. Orefice, J. Plasma Phys., 30, 125 (1983).
I. P. Shkarofsky, J. Plasma Phys., 35, 319 (1986).
M. Brambilla, Kinetic Theory of Plasma Waves, Clarendon Press, Oxford (1998).
E. Westerhof, Plasma Phys. Contr. Fusion, 39, 1015 (1997).
M. D. Tokman, in: Proc. 9th Joint Workshop on ECE and ECRH, Borrero Springs, California, 1995, p. 51.
M. D. Tokman, Fiz. Plazmy, 23, 1104 (1997).
A. D. Piliya, A. Yu. Popov, and E. N. Tregubova, Plasma Phys. Contr. Fusion, 45, 1309 (2003).
P. A. Robinson, J. Math. Phys., 27, 1206 (1986).
A. G. Shalashov, E. D. Gospodchikov, and M. A. Balakina, Fiz. Plazmy, 32, No. 6, 522 (2006).
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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Radiofizika, Vol. 49, No. 8, pp. 686–703, August 2006.
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Balakina, M.A., Shalashov, A.G., Gospodchikov, E.D. et al. Modeling of O-X-B conversion of electromagnetic radiation in tokamak plasmas. Radiophys Quantum Electron 49, 617–632 (2006). https://doi.org/10.1007/s11141-006-0096-z
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DOI: https://doi.org/10.1007/s11141-006-0096-z