Skip to main content
SpringerLink
Log in

On the electromagnetic energy density and energy transfer rate in a medium with dispersion due to conduction

  • Theoretical and Mathematical Physics
  • Published:
Technical Physics Aims and scope Submit manuscript

Abstract

The simplest dispersion relation determined by dissipation due to conduction is considered; the electromagnetic energy density in a plane monochromatic wave and its (phase and group) velocity are determined, as well as the energy and momentum transfer rates. It is shown that the energy density at low frequencies in this case has the form of the electrostatic density, in which the permittivity is replaced by its real part, and the energy transfer rate in a plane electromagnetic wave is equal to the phase velocity. The group velocity may exceed the speed of light.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. A. S. Zirbergleit and Yu. I. Kopilevich, Zh. Tekh. Fiz. 50, 241 (1960) [Sov. Phys. Tech. Phys. 25, 147 (1960)].

    Google Scholar 

  2. A. S. Zirbergleit and Yu. I. Kopilevich, Zh. Tekh. Fiz. 50, 449 (1980) [Sov. Phys. Tech. Phys. 25, 273 (1980)].

    Google Scholar 

  3. A. V. Gureev, Zh. Tekh. Fiz. 61(1), 23 (1990) [Sov. Phys. Tech. Phys. 36, 1244 (1990)].

    Google Scholar 

  4. R. P. Feynman, R. B. Leighton, and M. Sands, The Feynman Lectures on Physics, Vol. 6: Electrodynamics (Addison-Wesley, Reading, 1977; Mir, Moscow, 1966).

    Google Scholar 

  5. R. A. Silin, Periodical Waveguides (Fazis, Moscow, 2002) [in Russian].

    Google Scholar 

  6. L. I. Mandel’shtam, Lecture on Optics, Relativity Theory, and Quantum Mechanics (Nauka, Moscow, 1972) [in Russian].

    Google Scholar 

  7. P. Bhatnagar, Nonlinear Waves in One-Dimensional Dispersive Systems (Clarendon, Oxford, 1979; Mir, Moscow, 1983).

    MATH  Google Scholar 

  8. V. L. Ginzburg, The Propagation of Electromagnetic Waves in Plasmas (Fizmatlit, Moscow, 1960; Pergamon, Oxford, 1970).

    Google Scholar 

  9. L. A. Vainshtein, Electromagnetic Waves (Radio i Svyaz’, Moscow, 1988) [in Russian].

    Google Scholar 

  10. L. D. Gol’dshtein and N. V. Zernov, Electromagnetic Fields and Waves (Sov. Radio, Moscow, 1971) [in Russian].

    Google Scholar 

  11. M. B. Vinogradova, O. V. Rudenko, and A. P. Sukhorukov, Wave Theory (Nauka, Moscow, 1979) [in Russian].

    Google Scholar 

  12. L. A. Vainshtein, Usp. Fiz. Nauk 118, 339 (1976) [Sov. Phys. Usp. 19, 987 (1976)].

    Google Scholar 

  13. L. A. Vainshtein and D. E. Vakman, Separation of Frequencies in Theory of Oscillations and Waves (Nauka, Moscow, 1983) [in Russian].

    Google Scholar 

  14. L. D. Landau and E. M. Lifshitz, Course of Theoretical Physics, Vol. 8: Electrodynamics of Continuous Media (Nauka, Moscow, 1982; Pergamon, New York, 1984).

    Google Scholar 

  15. J. A. Stratton, Electromagnetic Theory (McGraw-Hill, New York-London, 1941).

    MATH  Google Scholar 

  16. E. O. Schulz-DuBois, Proc. IEEE 57, 1748 (1969).

    Article  Google Scholar 

  17. A. I. Akhiezer and I. A. Akhiezer, Eelectromagnetizm and Electromagnetic Waves (Vysshaya Shkola, Moscow, 1985) [in Russian].

    Google Scholar 

  18. M. V. Davidovich, Pis’ma Zh. Tekh. Fiz. 32(22), 53 (2006) [Tech. Phys. Lett. 32, 982 (2006)].

    Google Scholar 

  19. M. V. Davidovich Usp. Fiz. Nauk 179, 443 (2009) [Phys. Usp. 52, 415 (2009)].

    Article  Google Scholar 

  20. L. A. Ostrovskii and A. I. Potapov, Introduction to the Theory of Modulated Waves (Fizmatlit, Moscow, 2003) [in Russian].

    Google Scholar 

  21. V. G. Polevoi and S. M. Rytov, Usp. Fiz. Nauk 125, 540 (1978) [Sov. Phys. Usp. 21, 630 (1978)].

    Google Scholar 

  22. S. M. Rytov, Zh. Eksp. Teor. Fiz. 17, 930 (1947).

    MathSciNet  Google Scholar 

  23. M. J. Lighthill, J. Inst. Math. Appl. 1, 1 (1965).

    Article  MathSciNet  Google Scholar 

  24. V. A. Biot, Phys. Rev. 105, 1129 (1957).

    Article  MATH  ADS  Google Scholar 

  25. F. W. J. Olver, Introduction to Asymptotics and Special Functions (Academic, New York, 1974; Nauka, Moscow, 1973).

    MATH  Google Scholar 

  26. I. A. Kotel’nikov, Zh. Tekh. Fiz. 74(9), 91 (2004) [Tech. Phys. 49, 1196 (2004)].

    Google Scholar 

  27. M. A. Ordal, L. L. Long, R. J. Bell, et al., Appl. Opt. 22, 1099 (1983).

    Article  ADS  Google Scholar 

  28. T. G. Markov and A. F. Chaplin, Excitation of Electromagnetic Waves (Radio i Svyaz’, Moscow, 1983) [in Russian].

    Google Scholar 

  29. N. F. Umov, Beweg-Gleich. Energie in contin. Kopern. Z. d. Math. Phys. Bd. 19, Slomilch, (1874).

  30. V. L. Ginzburg, Usp. Fiz. Nauk 110, 309 (1973) [Sov. Phys. Usp. 16, 434 (1973)].

    Google Scholar 

  31. D. V. Skobel’tsin, Usp. Fiz. Nauk 110, 253 (1973) [Sov. Phys. Usp. 16, 381 (1973)].

    Google Scholar 

  32. V. L. Ginzburg and V. A. Ugarov, Usp. Fiz. Nauk 118, 175 (1976) [Sov. Phys. Usp. 19, 174 (1976)].

    MathSciNet  Google Scholar 

  33. J. Brevic, Mat. Fys. Medd. K. Dan. Vidensk. Selsk. 37, 13 (1970).

    Google Scholar 

  34. S. De Groot and L. Suttorp, Physica 38, 84 (1968).

    Article  Google Scholar 

  35. S. R. de Groot and L. G. Suttorp, Foundations of Electrodynamics (North-Holland, Amsterdam, 1972; Nauka, Moscow, 1982).

    Google Scholar 

  36. D. V. Skobel’tsyn, Usp. Fiz. Nauk 122, 295 (1977) [Sov. Phys. Usp. 20, 528 (1977)].

    MathSciNet  Google Scholar 

  37. V. L. Ginzburg, Usp. Fiz. Nauk 122, 325 (1977) [Sov. Phys. Usp. 20, 546 (1977)].

    MathSciNet  Google Scholar 

  38. U. Leonhardt, Nature 444, 823 (2006).

    Article  ADS  Google Scholar 

  39. R. N. Pfeifer, T. A. Nieminen, N. R. Heckenberg and H. Rubinsztein-Dunlop, Rev. Mod. Phys. 79, 197 (2007).

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Chernyshevsky State University, ul. Astrakhanskaya 83, Saratov, 410012, Russia

    M. V. Davidovich

Authors
  1. M. V. Davidovich
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to M. V. Davidovich.

Additional information

Original Russian Text © M.V. Davidovich, 2010, published in Zhurnal Tekhnicheskoĭ Fiziki, 2010, Vol. 80, No. 5, pp. 40–44.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Davidovich, M.V. On the electromagnetic energy density and energy transfer rate in a medium with dispersion due to conduction. Tech. Phys. 55, 630–635 (2010). https://doi.org/10.1134/S1063784210050063

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S1063784210050063

Keywords

Search

Navigation