Skip to main content
SpringerLink
Log in

Conversion of longitudinal waves into electromagnetic radiation by a non-uniform plasma

  • Published:
Applied Scientific Research Aims and scope Submit manuscript

Abstract

Conversion of dispersive longitudinal oscillation into electromagnetic radiation field in a non uniform warm fluid plasma is studied with the help of the linear equations of coupled wave fields deduced earlier by Chakraborty (1971). Expression for the radiated Poynting flux is obtained in the far field approximation.

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

Abbreviations

K 2t c 2 :

w 2−w 2e

K 2e v 2e :

w 2−w 2e

K 2i v 2i :

w 2−w 2i

H :

magnetic field

K :

wave vector

K t :

wave vector of the transverse wave

K e :

wave vector of the longitudinal wave in the electron fluid

K i :

wave vector of the longitudinal wave in the ion fluid

m :

electronic mass

M :

ionic mass

N 0 :

the number density of electrons an ions in the unpertubed state

P e :

perturbation in the electron partial pressure

Pi:

perturbation in the ion partial pressure

N e :

perturbation in the electron number density

N i :

perturbation in the ion number density

v e :

the speed of sound in the electron fluid

v i :

the speed of sound in the ion fluid

w :

wave frequency

μ 1 :

reduced mass

K 1 :

wave vector of P

N 1 :

uniform number density of electrons in the distant radiation field zone at the observation point

P :

the perturbation in electron fluid pressure

P 0 :

the amplitude of P

r :

position vector

r′ :

position vector in the scattering volume

v :

scattering volume

a :

distance of the order of molecular distances

h :

extinction coefficient

K 2l v 2e :

w 2−w 2e

K 2t c 2 :

w 2−w 21

r′ 1,2 :

integration points in V for evaluating E and H

e 1, 2, 3 :

three mutually perpendicular unit vectors such that e 1 is parallel to grad N 0, e 2 in the plane containing e 1 and K 1 and e 3=[e 1×e 2]

S t :

Poynting flux

S l :

energy flux carried by the perturbations in density and pressure

〈S t〉:

average of S t over the time period 2π/w

〈S l〉:

average of S l over the time period 2π/w

V 1 :

integration volume for the E field

V 2 :

integration volume for the H field

λ :

wave length of the radiation field

θ :

angle between K t and grad N 0

θ 0 :

angle between K 1 and grad N 0

θ 1,2 :

K 0·r′ 1,2

μ 0 :

|〈S t〉| cos θ/|〈S l〉| cos θ 0

References

  1. Chakraborty, J. Math. Phys. 12 (1971) 529.

    Article  Google Scholar 

  2. Landau, L. D. and E. M. Lifshitz, Electrodynamics of Continuous Media, Pergamon Press, Oxford, 1960.

    Google Scholar 

  3. Tatarskii, V. I., Wave propagation in a turbulent medium, Chapters 4, 5, McGraw Hill, N.Y., 1961.

    Google Scholar 

  4. Chernov, L. A., Wave Propagation in a Turbulent Medium, Chapter IV, 10, 11, McGraw Hill, N.Y., 1960.

    Google Scholar 

  5. Wait, J. R., Canad. J. Phys. 44 (1966) 267.

    Google Scholar 

  6. Kun-Mu Chen, Radio Sc., Journal of Res. NBS, 69 (1965) 235.

    Google Scholar 

  7. Bohm, D. and E. Gross, Phys. Rev. 79 (1950) 992.

    Article  MATH  ADS  Google Scholar 

  8. Cohen, M. H., Phys. Rev. 124 (1962) 389 and 398.

    Article  ADS  Google Scholar 

  9. Vlasov, A. A., Theory of Many Particles, GOS. TEKH. IZDAT, Moscow, 1945. English translation published by Gordon and Breach, N.Y., 1961.

  10. Field, G. B., Ap. J. 124 (1956) 555.

    Article  ADS  Google Scholar 

  11. Fejer, J. A., Canad. J. Phys. 38 (1960) 1114.

    MATH  MathSciNet  ADS  Google Scholar 

  12. Tidman, D. A., Phys. Rev. 117 (1960) 366.

    Article  MATH  MathSciNet  ADS  Google Scholar 

  13. Kritz, A. H. and D. Mintzer, Phys. Rev. 117 (1960) 382.

    Article  MathSciNet  ADS  Google Scholar 

  14. Tidman, D. A. and G. H. Weiss, Phys. Fl. 4 (1961) 703.

    Article  MATH  MathSciNet  Google Scholar 

  15. Sturrock, P. A., Phys. Fl. 8 (1965) 281.

    Article  MathSciNet  Google Scholar 

  16. Tidman, D. A., F. J. Birmingham and H. M. Stainer, Astrophys. J. 146 (1966) 207.

    Article  ADS  Google Scholar 

  17. Tanenbaum, B. S., Phys. Rev. 171 (1968) 215.

    Article  ADS  Google Scholar 

  18. Chakraborty, J. Math. Phys. 11 (1970) 2570.

    Article  MATH  Google Scholar 

  19. Golant, V. E. and A. D. Piliya, Sov. Phys. Uspekhi, 14 (1972) 413.

    Article  Google Scholar 

  20. Haynes, K. A. and D. Kahn, Phys. Fl. 8 (1965) 1681.

    Article  Google Scholar 

  21. Dunphy, K. H., D. Kahn and D. Mintzer, Phys. Fl. 10 (1967) 162.

    Article  Google Scholar 

  22. Smith, H. J. and E. V. P. Smith, Solar Flares Macmillan Co., N.Y., 1963.

  23. Wild, J. P., S. F. Smerd and A. A. Weiss, Solar Bursts. Annual Review of Astronomy and Astrophysics, Vol. I, Ed. L. Goldberg, Annual Reviews Inc., Palo Alto, 1963, p. 291.

    Google Scholar 

  24. Severny, A. B., Solar Flares. Annual Review of Astronomy and Astrophysics, Vol. 2. Ed. L. Goldberg Annual Reviews Inc., Palo Alto, 1964, p. 363.

    Google Scholar 

  25. Bruzek, A., Physics of Solar Flares: The Energy and Mass Problem. In Solar Physics. Ed. J. Xanthakis Interscience Publ., London, 1967, p. 399.

    Google Scholar 

  26. Beard, D. B., The Solar Wind 1967. Report on Progress in Physics volume XXX, Part II. The Institute of Physics and Physical Society, London, 1967, p. 409.

    Google Scholar 

  27. Melrose, D. B., Aust. J. of Phys. 23 (1970) 871 and 875.

    ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Dept. of Physics, Technical University, Eindhoven, The Netherlands

    B. Chakraborty

Authors
  1. B. Chakraborty
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Visiting Fellow. Permanent Address: Mathematics Department, Jadavpur University, Calcutta-32, India.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Chakraborty, B. Conversion of longitudinal waves into electromagnetic radiation by a non-uniform plasma. Appl. Sci. Res. 28, 466–476 (1973). https://doi.org/10.1007/BF00413084

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00413084

Keywords

Search

Navigation