Abstract
The linear interaction between ordinary and extraordinary waves in two-dimensionally inhomogeneous magnetoactive plasmas in the electron-cyclotron frequency range is considered. Exact solutions of the reduced wave equation that describes the wave fields in the region of linear interaction are obtained. A procedure is determined for recalculating the fields that pass through and reflect from the transformation region. The field distributions in the transformed and reflected beams are studied analytically for various incident beams. The results may be considered as a solution of a new standard problem with a wide range of astrophysical and laboratory applications.
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References
V. L. Ginzburg, J. Phys. (Moscow) 7, 289 (1943).
V. L. Ginzburg, Zh. Éksp. Teor. Fiz. 18, 487 (1948).
V. L. Ginzburg, The Propagation of Electromagnetic Waves in Plasmas, 2nd ed. (Nauka, Moscow, 1967; Pergamon, Oxford, 1970).
V. V. Zheleznyakov, Radiation in Astrophysical Plasma (Yanus-K, Moscow, 1997) [in Russian].
V. E. Golant and A. D. Piliya, Usp. Fiz. Nauk 104, 413 (1971) [Sov. Phys. Usp. 14, 413 (1972)].
J. Preinhalter and V. Kopeĉky, J. Plasma Phys. 10, 1 (1973).
T. Maekawa, S. Tanaka, Y. Terumichi, et al., Phys. Rev. Lett. 40, 1379 (1978).
Yu. F. Baranov, D. G. Bulyginskiĭ, V. E. Golant, et al., Fiz. Plazmy (Moscow) 8, 682 (1982) [Sov. J. Plasma Phys. 8, 383 (1982)].
H. P. Laqua, V. Erckmann, H. J. Hartfuß, et al., Phys. Rev. Lett. 78, 3467 (1997).
H. P. Laqua, the W7-AS Team, and ECRH Group, Plasma Phys. Controlled Fusion 41, A273 (1999
R. I. Pinsker et al., AIP Conf. Proc. 595, 350 (2001).
G. Taylor et al., AIP Conf. Proc. 595, 282 (2001).
V. Shevchenko, Y. Baranov, M. O’Brien, and A. Saveliev, Phys. Rev. Lett. 89, 265005 (2002).
A. Pochelon, S. Alberti, G. Arnoux, et al., in Strong Microwaves in Plasmas VI, Ed. by A. G. Litvak (Inst. Appl. Phys., Russ. Acad. Sci, Nizhni Novgorod, 2006), Vol. 2, p. 421.
E. Mjolhus, J. Plasma Phys. 31, 7 (1984).
M. D. Tokman, Fiz. Plazmy (Moscow) 11, 1205 (1985) [Sov. J. Plasma Phys. 11, 689 (1985)].
A. V. Timofeev, Fiz. Plazmy (Moscow) 26, 874 (2000) [Plasma Phys. Rep. 26, 820 (2000)].
V. B. Timofeev, Usp. Fiz. Nauk 174, 609 (2004).
H. Igami, H. Tanaka, and T. Maekawa, Plasma Phys. Controlled Fusion 48, 573 (2006).
A. D. Piliya and V. I. Fedorov, Zh. Éksp. Teor. Fiz. 60, 389 (1971) [Sov. Phys. JETP 33, 210 (1971)].
H. Weitzner, Phys. Plasmas 11, 866 (2004).
E. D. Gospodchikov and E. V. Suvorov, in Abstracts of XXXII Zvenigorod Conference on Plasma Physics and Controlled Fusion, Zvenigorod, 2005 (ZAONTTs “PLAZMAIOFAN,” Moscow, 2005); http://plasma.gpi.ru/Zvenigorod/XXXII/Mu/ru/DQ-Gospodchikov.doc.
E. D. Gospodchikov and E. V. Suvorov, in Strong Microwaves in Plasmas VI, Ed. by A. G. Litvak (Inst. Appl. Phys., Russ. Acad. Sci, Nizhni Novgorod, 2006), Vol. 2, p. 478.
E. D. Gospodchikov and E. V. Suvorov, in Annotation of proceedings of 3rd Kurchatov Young Scientific School, Moscow, 2005 (Ross. Nauchn. Tsentr “Kurchatovskiĭ Institut,” Moscow, 2005), p. 38.
E. D. Gospodchikov and E. V. Suvorov, in Abstracts of XXXIII Zvenigorod Conference on Plasma Physics and Controlled Fusion, Zvenigorod, 2006 (ZAO NTTs “PLAZMAIOFAN,” Moscow, 2006), p. 323; http://www.fpl.gpi.ru/Zvenigorod/XXXIII/Mu/ru/DA-Gospodchikov.doc.
E. D. Gospodchikov, A. G. Shalashov, and E. V. Suvorov, Plasma Phys. Controlled Fusion 48, 869 (2006).
A. Yu. Popov and A. D. Piliya, in Abstracts of XXXIII Zvenigorod Conference on Plasma Physics and Controlled Fusion, Zvenigorod, 2006 (ZAO NTTs “PLAZMAIOFAN,” Moscow, 2006), p. 71; http://www.fpl.gpi.ru/Zvenigorod/XXXIII/Mu/ru/BN-Popov.doc; Plasma Phys. (2006) (in press).
T. H. Stix, The Theory of Plasma Waves (McGraw-Hill, New York, 1962).
Handbook of Mathematical Functions, Ed. by M. Abramowitz and I. A. Stegun (National Bureau of Standards, Washington, 1964; Nauka, Moscow, 1979).
Higher Transcendental Functions (Bateman Manuscript Project), Ed. by A. Erdelyi (McGraw-Hill, New York, 1953; Nauka, Moscow, 1974), Vol. 2.
E. T. Whittaker and G. N. Watson, A Course of Modern Analysis (Cambridge Univ. Press, Cambridge, 1952; Gostekhizdat, Moscow, 1934), Vol. 2.
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Original Russian Text © A.G. Shalashov, E.D. Gospodchikov, E.V. Suvorov, 2006, published in Zhurnal Éksperimental’noĭ i Teoreticheskoĭ Fiziki, 2006, Vol. 130, No. 3, pp. 554–572.
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Shalashov, A.G., Gospodchikov, E.D. & Suvorov, E.V. On the structure of wave fields in the region of linear interaction between ordinary and extraordinary waves in two-dimensionally inhomogeneous magnetoactive plasmas. J. Exp. Theor. Phys. 103, 480–496 (2006). https://doi.org/10.1134/S1063776106090184
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DOI: https://doi.org/10.1134/S1063776106090184