Kinetic Energy of Laser Accelerated Charged Particles in a Plasma and the Possibility of Pair Production

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Laser Interaction and Related Plasma Phenomena

Abstract

An exact solution of the general equation of motion of charged particles in a medium of refractive index n subjected to irradiation of electromagnetic waves at any intensity and frequency is given. No approximations are necessary even for the relativistic case. Linearly polarized as well as circularly polarized waves are considered. Self-induced fields due to the generated charged particle currents have very little influence on the solutions, especially at higher intensities, where electron-positron pair production can be expected.

Work partially supported by Brazilian Research Council (CNPq).

Presented at the 4th Workshop on Laser Interaction and Related Plasma Phenomena held at Rensselaer Polytechnic Institute, Troy, N. Y., November 8–12, 1976 and at the 2nd US-Japan Seminar on Laser Interaction with Matter, University of Rochester, N. Y., November 2–5, 1976; to be published in part in “Optical and Quantum Electronics”(London 1977).

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References

  1. G. Breit and J. A. Wheeler, Phys. Rev. 46, 1087 (1934).

    Article  ADS  MATH  Google Scholar 

  2. A. A. Varfolomeyev, Sov. Phys.-JETP 23, 681 (1966).

    ADS  Google Scholar 

  3. H. J. Bhabha, Proc. Roy. Soc. (London) A 152, 559 (1935).

    Article  ADS  MATH  Google Scholar 

  4. J. H. Eberly, in Progress in Optics Vol. VII, Editor: E. Wolf (North-Holland Publishing Co., Amsterdam 1969) pp. 361.

    Google Scholar 

  5. H. R. Reiss, J. Math. Phys. 3, 59 (1962).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  6. H. R. Reiss, Phys. Rev. Lett. 26, 1072 (1971).

    Article  ADS  Google Scholar 

  7. A. I. Nikishov and V. I. Ritus, Sov. Phys.-JETP 19, 529 and 1191 (1964).

    MathSciNet  Google Scholar 

  8. F. V. Bunkin and I. I. Tugov, Sov. Phys.-Dokl. 14, 678 (1970).

    ADS  Google Scholar 

  9. E. Brezin and C. Itzykson, Phys. Rev. D 2, 1191 (1970).

    Article  ADS  Google Scholar 

  10. V. P. Yakovlev, Sov. Phys.-JETP 22, 223 (1966).

    ADS  Google Scholar 

  11. J. W. Shearer, J. Garrison, J. Wong, and J. E. Swain, in Laser Interaction and Related Plasma Phenomena, Editors: H. Schwarz and H. Hora (Plenum Press, New York 1974) Vol. 3B, pp. 803.

    Google Scholar 

  12. F. V. Bunkin and A. E. Kazakov, Sov. Phys.-Dokl. 15, 758 (1971).

    ADS  Google Scholar 

  13. All formulae in this paper are written in such a way that the SI system of units (Système Internationale) can be used which is identical with the rationalized MKSA system.

    Google Scholar 

  14. T. Erber, Rev. Mod. Phys. 38, 626 (1966).

    Article  MathSciNet  ADS  Google Scholar 

  15. A. D. Steiger and C. H. Wood, Phys. Rev. A 5, 1467 (1972).

    Article  ADS  Google Scholar 

  16. see for example: A. N. Matveyev, Principles of Electrodynamics. Translation Editor: L. F. Landovitz (Reinhold Publishing Corp., New York 1966) p. 358.

    Google Scholar 

  17. see for example: R. E. Kidder in Physics of High Density. Editors: P. Caldirola and H. Knoepfel (Academic Press 1971). Course Number 48.

    Google Scholar 

  18. A. I. Akhiezer and R. V. Polovin, Sov. Phys.-JETP 3, 696 (1956).

    MathSciNet  MATH  Google Scholar 

  19. P. Kaw and J. Dawson, Phys. Fluids 13, 472 (1972).

    Article  ADS  Google Scholar 

  20. C. E. Max and F. Perkins, Phys. Rev. Lett. 27, 1342 (1971).

    Article  ADS  Google Scholar 

  21. C. E. Max, Phys. Fluids 16, 1277 and 1480 (1973).

    Article  ADS  Google Scholar 

  22. M. Dobrowolny, A. Ferrari, and G. Bosia, Plasma Phys. 18, 441 (1976).

    Article  ADS  Google Scholar 

  23. F. W. Sluijter and D. Montgomery, Phys. Fluids 8, 551 (1965).

    Article  ADS  MATH  Google Scholar 

  24. N. L. Tsintsadze, Sov. Phys.-JETP 32, 684 (1971).

    ADS  Google Scholar 

  25. A. Ferrari, S. Massaglia, and M. Dobrowolny, Phys. Lett. 55A, 227 (1975).

    ADS  Google Scholar 

  26. E. L. Kane and H. Hora, these Proceedings p. 913.

    Google Scholar 

  27. N. D. Sengupta, Calcutta Math. Soc. Bull. 39, 147 (1947);

    MATH  Google Scholar 

  28. N. D. Sengupta, Calcutta Math. Soc. Bull. 41, 187 (1949).

    MATH  Google Scholar 

  29. A. H. Taub, Phys. Rev. 73, 786 (1948).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  30. L. D. Landau and E. M. Lifshitz, The Classical Theory of Fields (Addison-Wesley Publishing Co., Inc., Reading, Mass. 1951) [p. 118 (problems) in 3rd Edition of 1971].

    MATH  Google Scholar 

  31. H. Hora, Opto-electronics 5, 491 (1973).

    Article  Google Scholar 

  32. H. Hora, in Laser Interaction and Related Plasma Phenomena. Editors: H. Schwarz and H. Hora (Plenum Press, New York 1974) Vol. 3B, pp. 819.

    Google Scholar 

  33. M. B. Nicholson-Florence, these Proceedings p. 981.

    Google Scholar 

  34. W. Lünow, Plasma Phys. 10, 879 and 973 (1968).

    Article  ADS  Google Scholar 

  35. C. S. Lai, Phys. Rev. Lett. 36, 966 (1976).

    Article  ADS  Google Scholar 

  36. R. M. Lichtenstein and H. Schwarz, Bull. Am. Phys. Soc. 19, 676 (1974).

    Google Scholar 

  37. P. F. Byrd and M. D. Friedman, Handbook of Elliptic Integrals for Engineers and Scientists. 2nd Edition (Springer Verlag, Berlin, Heidelberg, New York 1971).

    MATH  Google Scholar 

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© 1977 Plenum Press, New York

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Schwarz, H., Tabensky, R. (1977). Kinetic Energy of Laser Accelerated Charged Particles in a Plasma and the Possibility of Pair Production. In: Schwarz, H.J., Hora, H. (eds) Laser Interaction and Related Plasma Phenomena. Springer, Boston, MA. https://doi.org/10.1007/978-1-4684-8798-5_17

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  • DOI: https://doi.org/10.1007/978-1-4684-8798-5_17

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4684-8800-5

  • Online ISBN: 978-1-4684-8798-5

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