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Wave beams in smoothly inhomogeneous anisotropic media: a quasioptical equation (Part II)

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Radiophysics and Quantum Electronics Aims and scope

In this series of papers, we propose a method for constructing an approximate solution of the Maxwell equations in smoothly inhomogeneous anisotropic gyrotropic media with allowance for aberrations, spatial dispersion, and absorption. Evolution equations for wave beams are obtained and a method for their numerical solution is developed. Their relation to equations of the nonaberrational approximation is shown. In this second part, we derive a quasioptical evolution equation for wave beams and propose a method for its numerical solution. The connection with the aberration-free approximation equations is shown.

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References

  1. H. Zohm, in: Proc. 13th Joint Workshop on Electron Cyclotron Emission and Electron Cyclotron Heating, 2005, p. 133.

  2. K.Takahashi, N.Kobayashi, A.Kasugai, and K. Sakamoto, J. Phys. Conf. Ser., 25, 75 (2005).

    Article  ADS  Google Scholar 

  3. K.Takahashi, N.Kobayashi, J.Ohmori, et al., Fusion Sci. Technol., 52, 266 (2007).

    Google Scholar 

  4. E. Mazzucato, Phys. Fluids B, 1, 1855 (1989).

    Article  ADS  Google Scholar 

  5. D. Farina, Fusion Sci. Technol., 52, 154 (2007).

    Google Scholar 

  6. G.V. Pereverzev, Rev. Plasma Phys., 19, 1 (1996).

    Google Scholar 

  7. G.V. Pereverzev, Phys. Plasmas, 5, 3529 (1998).

    Article  ADS  Google Scholar 

  8. R.Prater, D. Farina, Yu.Gribov, et al., Nucl. Fusion, 48, 035006 (2008).

    Article  ADS  Google Scholar 

  9. O.Maj, A. A. Balakin, and E.Poli, Plasma Phys. Control. Fusion, 52, 085006 (2010).

    Article  ADS  Google Scholar 

  10. A. A. Balakin, Radiophys. Quantum Electron., 55, No. 7, 472 (2012).

    Article  ADS  Google Scholar 

  11. A. V.Timofeev, Physics –Uspekhi, 48, No. 6, 609 (2005).

    Article  ADS  Google Scholar 

  12. M. A. Leontovich and V.A. Fock, Zh. Éksp. Teor. Fiz., 16, 557 (1946).

    MathSciNet  MATH  Google Scholar 

  13. N. G. Bondarenko and V. I. Talanov, Izv. Vyssh. Uchebn. Zaved., Radiofiz., 7, 313 (1964).

    Google Scholar 

  14. A. G. Litvak and V. I.Talanov, Radiophys. Quantum Electron., 10, No. 4, 296 (1967).

    Article  ADS  Google Scholar 

  15. V. I.Talanov and S. N. Vlasov, Self-Focusing of Waves [in Russian], Inst. Appl. Phys., Nizhny Novgorod (1997).

  16. A. N. Saveliev, Plasma Phys. Control. Fusion, 51, 075004 (2009).

    Article  ADS  Google Scholar 

  17. V. I.Talanov, JETP Lett., 11, No. 6, 199 (1970).

    ADS  Google Scholar 

  18. G. V. Permitin and A. I. Smirnov, JETP, 92, No. 1, 10 (2001).

    Article  ADS  Google Scholar 

  19. A. A. Balakin, M. A. Balakina, G.V. Permitin, and A. I. Smirnov, Radiophys. Quantum Electron., 50, No. 12, 955 (2007).

    Article  ADS  Google Scholar 

  20. Yu.A. Kravtsov and Yu. I.Orlov, Geometric Optics of Inhomogeneous Media, Springer-Verlag, Berlin (1990).

  21. A. A. Balakin, M. A. Balakina, and E.Westerhof, Nucl. Fusion, 48, 065003 (2008).

    Article  ADS  Google Scholar 

  22. A. A. Balakin, M. A. Balakina, G.V.Permitin, and A. I. Smirnov, Plasma Phys. Rep., 33, No. 4, 302 (2007).

    Article  ADS  Google Scholar 

  23. G.M. Fraiman, E.M. Sher, A.D.Yunakovsky, and W. Laedke, Physica D, 87, 325 (1995).

    Article  ADS  MATH  Google Scholar 

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Authors and Affiliations

  1. Institute of Applied Physics, Russian Academy of Sciences, Moscow, Russia

    A. A. Balakin

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  1. A. A. Balakin
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Correspondence to A. A. Balakin.

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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Radiofizika, Vol. 55, No. 8, pp. 555–564, August 2012.

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Balakin, A.A. Wave beams in smoothly inhomogeneous anisotropic media: a quasioptical equation (Part II). Radiophys Quantum El 55, 502–510 (2013). https://doi.org/10.1007/s11141-013-9386-4

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  • DOI: https://doi.org/10.1007/s11141-013-9386-4

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