Skip to main content
SpringerLink
Log in

Propagation of optical pulses at an absorption line in the presence of a weak nonlinearity

  • Physics of Elementary Particles and Field Theory
  • Published:
Soviet Physics Journal Aims and scope

Abstract

We examine the propagation of short pulses of light in a resonantly absorbing, weakly nonlinear medium within the limits of a model described by the nonlinear Schrödinger equation. The possibility of transforming pulses of various forms into a soliton signal due to the effects of self-interaction is studied. On the basis of the study of spectra for the associated linear problem, we investigate the break-up of an initial pulse into solitons. We have obtained solutions for two particular cases of the initial pulse.

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

Literature cited

  1. V. E. Zakharov and A. B. Shabat, Zh. Éksp. Teor. Fiz.,61, No. 1 (7), 118 (1971).

    Google Scholar 

  2. N. G. Basov and A. M. Prokhorov, Usp. Fiz. Nauk,57, 485 (1955).

    Google Scholar 

  3. V. E. Zuev and M. V. Kabanov, Transmission of Optical Signals in the Earth's Atmosphere (in the Presence of Obstacles) [in Russian], Moscow, Sov. Radio (1977).

    Google Scholar 

  4. L. D. Landau and E. M. Lifshitz, Electrodynamics of Continuous Materials [in Russian], Moscow, Nauka (1982).

    Google Scholar 

  5. V. I. Karpman and E. M. Maslov, Zh. Éksp. Teor. Fiz.,73, No. 2 (8), 537 (1977).

    Google Scholar 

  6. Yu. A. Berezin and V. I. Karpman, Zh. Éksp. Teor. Fiz.,51, No. 5 (11), 1557 (1966).

    Google Scholar 

  7. V. I. Karpman and V. P. Sokolov, Zh. Éksp. Teor. Fiz.,54, No. 5, 1568 (1968).

    Google Scholar 

  8. V. G. Makhan'kov, O. K. Pashaev, and Kh. T. Kholmurodov, Preprint OIYaI R5-85-561, Dubna (1985).

  9. V. G. Makhan'kov, O. K. Pashaev, and Kh. T. Kholmurodov, Preprint OIYaI R5-85-562, Dubna (1985).

  10. V. E. Zakharov, S. V. Manakov, S. P. Novikov, and L. P. Pitaevskii, Theory of Solitons: The Inverse Problem Method [in Russian], Nauka, Moscow (1980), p. 90.

    Google Scholar 

  11. E. Janke, F. Emde, and F. Losche, Special Functions [Russian translation], Nauka, Moscow (1977), p. 194.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Siberian Physicotechnical Institute, Tomsk University, USSR

    É. V. Lugin & A. V. Shapovalov

Authors
  1. É. V. Lugin
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. A. V. Shapovalov
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 2, pp. 36–39, February, 1989.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Lugin, É.V., Shapovalov, A.V. Propagation of optical pulses at an absorption line in the presence of a weak nonlinearity. Soviet Physics Journal 32, 106–109 (1989). https://doi.org/10.1007/BF00898669

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00898669

Keywords

Search

Navigation