Abstract
A new form of the quasioptical equation is proposed to describe the propagation of an electromagnetic wave beam in a stationary smoothly inhomogeneous medium with spatial dispersion and dissipation. The proposed approach guarantees the positive definiteness of the absorbed power in the locally dissipative medium, which is a nontrivial property for inhomogeneous media with spatial dispersion. An efficient numerical scheme is constructed to solve the derived quasioptical equation.
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References
Yu. A. Kravtsov and Yu. I. Orlov, Geometrical Optics in Inhomogeneous Media, Springer Ser. on Wave Phenomena (Springer, Berlin, Heidelberg, 1990; Nauka, Moscow, 1980).
D. Farina, Fusion Sci. Technol. 52, 154 (2007).
R. Prater, D. Farina, Yu. Gribov, R. W. Harvey, A. K. Ram, Y.-R. Lin-Liu, E. Poli, A. P. Smirnov, F. Volpe, E. Westerhof, A. Zvonkov, and the ITPA Steady State Operation Topical Group, Nucl. Fusion 48, 035006 (2008).
G. V. Pereverzev, Phys. Plasmas 5, 3529 (1998).
A. A. Balakin, M. A. Balakina, A. I. Smirnov, and G. V. Permitin, J. Phys. D 40, 4285 (2007).
O. Maj, A. A. Balakin, and E. Poli, Plasma Phys. Controll. Fusion 52, 085006 (2010).
M. B. Vinogradova, O. V. Rudenko, and A. P. Sukhorukov, Wave Theory (Nauka, Moscow, 1990) [in Russian].
V. I. Talanov and S. N. Vlasov, Self-Focusing of Waves (Inst. Prikl. Fiz. RAN, Nizh. Novgorod, 1997) [in Russian].
G. V. Permitin and A. I. Smirnov, J. Exp. Theor. Phys. 82, 395 (1996).
A. A. Balakin, M. A. Balakina, A. I. Smirnov, and G. V. Permitin, Plasma Phys. Rep. 33, 302 (2007).
A. A. Balakin, Izv. Vyssh. Uchebn. Zaved., Radiofiz. 55, 521 (2012).
A. A. Balakin, Izv. Vyssh. Uchebn. Zaved., Radiofiz. 55, 594 (2012).
A. A. Balakin, M. A. Balakina, and E. Westerhof, Nucl. Fusion 48, 065003 (2008).
N. Bertelli, A. A. Balakin, E. Westerhof, and M. N. Buyanova, Nucl. Fusion 50, 115008 (2010).
E. Poli, A. G. Peeters, and G. V. Pereverzev, Comput. Phys. Commun. 136, 90 (2001).
A. A. Balakin and E. D. Gospodchikov, J. Phys. B 48, 215701 (2015).
G. M. Fraiman, E. M. Sher, A. D. Yunakovsky, and W. Laedke, Physica D 87, 325 (1995).
A. A. Samarskii, Introduction to Numerical Methods (Lan’, St. Petersburg, 2009) [in Russian].
A. A. Balakin, M. A. Balakina, A. I. Smirnov, and G. V. Permitin, Plasma Phys. Rep. 34, 486 (2008).
P. A. Bagryansky, A. G. Shalashov, E. D. Gospodchikov, A. A. Lizunov, V. V. Maximov, V. V. Prikhodko, E. I. Soldatkina, A. L. Solomakhin, and D. V. Yakovlev, Phys. Rev. Lett. 114, 205001 (2015).
P. A. Bagryansky, A. V. Anikeev, G. G. Denisov, et al., Nucl. Fusion 55, 053009 (2015).
A. G. Shalashov, A. A. Balakin, E. D. Gospodchikov, et al. (Collab.), arXiv:1608.07273 (2016).
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Original Russian Text © A.A. Balakin, E.D. Gospodchikov, A.G. Shalashov, 2016, published in Pis’ma v Zhurnal Eksperimental’noi i Teoreticheskoi Fiziki, 2016, Vol. 104, No. 10, pp. 701–707.
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Balakin, A.A., Gospodchikov, E.D. & Shalashov, A.G. On the quasioptical approximation in dissipative media with spatial dispersion. Jetp Lett. 104, 690–695 (2016). https://doi.org/10.1134/S0021364016220057
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DOI: https://doi.org/10.1134/S0021364016220057