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Theory of self-induced transparency without the SVEA and RWA

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Zeitschrift für Physik B Condensed Matter

Abstract

An approximate solution to the complete semiclassical Maxwell-Bloch equations for the sharp-line case has been found making use of the coupling constant as a small parameter. This approach confirms results obtained through the reduced Maxwell-Bloch equations. The solution describes coherent propagation of an optical pulse more generally than the theory using the slowly varying envelope approximation (SVEA) and the rotating-wave approximation (RWA). Conditions for resonant propagation, taking into account the Bloch-Siegert shift, have been found and discussed in detail.

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References

  1. McCall, S.L., Hahn, E.M.: Phys. Rev. Lett.18, 908 (1967); Phys. Rev.183, 457 (1969)

    Google Scholar 

  2. Lamb, G.L. Jr.: Rev. Mod. Phys.43, 99 (1971)

    Google Scholar 

  3. Lamb, G.L. Jr.: Elements of soliton theory. New York: Wiley 1980

    Google Scholar 

  4. Allen, L., Eberly, J.H.: Optical resonance and two-level atoms. New York: Wiley 1975

    Google Scholar 

  5. Bullough, R.K., Caudrey, P.J., Eilbeck, J.C., Gibbon, J.D.: Opto-Electronics6, 121 (1974)

    Google Scholar 

  6. Courtens, E.: Laser handbook. Vol 2, p. 1259, Arecchi, F.T., Schultz-Du Bois, E. (eds.). Amsterdam: North Holland 1972

    Google Scholar 

  7. Bullough, R.K., Jack, P.M., Kitchenside, P.W., Saunders, R.: Phys. Scr.20, 364 (1979)

    Google Scholar 

  8. Slusher, R.E.: In: Progress in optics, XII, Wolf, E. (ed.). Amsterdam: North-Holland 1974

    Google Scholar 

  9. Poluektov, I.A., Popov, Yu.M., Roitberg, V.S.: Sov. Phys. Usp17, 673 (1975)

    Google Scholar 

  10. Marth, R.A., Holmes, D.A., Eberly, J.H.: Phys. Rev. A9, 2733 (1974)

    Google Scholar 

  11. Bialynicka-Birula, Z.: Phys. Rev. A10, 999 (1974)

    Google Scholar 

  12. Kujawski, A.: Z. Phys. B — Condensed Matter66, 271 (1987)

    Google Scholar 

  13. Eilbeck, J.C., Gibbon, J.D., Caudrey, P.J., Bullough, R.K.: J. Phys. A6, 1337 (1973)

    Google Scholar 

  14. Arecchi, F.T., Courtens, E.: Phys. Rev. A2, 1730 (1970)

    Google Scholar 

  15. Bullough, R.K., Ahmed, F.: Phys. Rev. Lett.27, 330 (1971)

    Google Scholar 

  16. Gibbs, H.M., Slusher, R.E.: Phys. Rev. A6, 2326 (1972)

    Google Scholar 

  17. Eilbeck, J.C.: J. Phys. A5, 1355 (1972)

    Google Scholar 

  18. Caudrey, P.J., Eilbeck, J.C.: Phys. Lett. A62, 65 (1977)

    Google Scholar 

  19. Kujawski, A., Mostowski, J.: J. Opt. Soc. Am. B3, 1700 (1986)

    Google Scholar 

Download references

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Author notes

  1. Adam Kujawski

    Present address: Institute of Physics, Polish Academy of Sciences, Al. Lotnikow 32, PL-02-668, Warsaw, Poland

Authors and Affiliations

  1. Max-Planck-Institut für Festkörperforschung, Heisenbergstrasse 1, W-7000, Stuttgart 80, Germany

    Adam Kujawski

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  1. Adam Kujawski
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Kujawski, A. Theory of self-induced transparency without the SVEA and RWA. Z. Physik B - Condensed Matter 85, 129–133 (1991). https://doi.org/10.1007/BF01387798

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  • DOI: https://doi.org/10.1007/BF01387798

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