Distribution of Electromagnetic Field Momentum in Dielectrics in Stipulation of Self-Induced Transparency

ABSTRACT

The laws of formation of the impulse of electromagnetic radiation in dielectric environment for conditions self-induced transparency are considered. The insufficiency of the description of such impulse with the help of the equations Maxwell-Bloch is shown. The way of connection of an average number filling and energy of the impulse taking into account energy saturation of environment are offered. The calculation of an electrical component of the impulse is submitted.

The laws of formation of the impulse of electromagnetic radiation in dielectric environment for conditions self-induced transparency are considered. The insufficiency of the description of such impulse with the help of the equations Maxwell-Bloch is shown. The way of connection of an average number filling and energy of the impulse taking into account energy saturation of environment are offered. The calculation of an electrical component of the impulse is submitted.

KEYWORDS

Electromagnetic Impulse, Self-Induced Transparency, Equations Maxwell-Bloch, Filling Number, Non-Linear SCHRÖDINGER Equation

Electromagnetic Impulse, Self-Induced Transparency, Equations Maxwell-Bloch, Filling Number, Non-Linear SCHRÖDINGER Equation

Cite this paper

nullA. Volobuev and E. Petrov, "Distribution of Electromagnetic Field Momentum in Dielectrics in Stipulation of Self-Induced Transparency,"*Positioning*, Vol. 1 No. 1, 2010, pp. 1-7. doi: 10.4236/pos.2010.11001.

nullA. Volobuev and E. Petrov, "Distribution of Electromagnetic Field Momentum in Dielectrics in Stipulation of Self-Induced Transparency,"

References

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[1] A. N. Volobuev and V. A.Neganov, “The Electromagnetic Envelope Soliton Propagating in Dielectric,” Technical Physics Letters, Vol. 28, No. 2, 2002, pp. 15-20.

[2] R. K. Dodd, J. C. Eilbeck, J. D. Gibbon and H. C. Morris, “Solitons and Nonlinear Wave Equation,”. Harcourt Brace Jovanovich, London, 1982.

[3] M. J. Ablowitz and H. Segur, “Solitons and the Inverse Scattering Transform,” Society for Industrial and Applied Mathematics, Philadelphia, 1981, pp. 374-378.

[4] A. N. Volobuev, “Modeling of Physical Processes, to Describe by Nonlinear Schrodinger Equation,” Mathe-matical Modelling, Vol. 17, No. 2, 2005, pp. 103-108.

[5] G. L. Lamb and D. W. McLaughlin, “Aspects of Solitons Physics,” In: R. K. Bulllough and P. J. Caudrey, Ed., So-litones, Springer-Verlag, Berlin, 1980, pp. 59-102.

[6] V. B. Berestetskij, E. M. Lifshits and L. P. Pitaevskij, “Quantum Electrodynamics,” Science, Moscow, 1989, p. 192.[7] A. S. Davidov, “Quantum Mechanics,” Physmatlit, Mos-cow, 1963, p. 335.

[7] J. P. Birnbaum, “Optical Quantum Generators,” Soviet Radio, Moscow, 1967, pp. 49-50.

[8] G. B. Whitham F. R. S, “Linear and Nonlinear Waves,” John Wiley & Sons, New York, 1974.