Skip to main content
SpringerLink
Log in

Surface optical waves at the boundary with a nonlinear Kerr medium

  • Published:
Journal of Applied Spectroscopy Aims and scope

A rigorous solution consistent with a plane wave approximation is given to the boundary problem for Maxwell’s equations for surface optical waves at the boundary with a nonlinear Kerr medium. Exact formulas for the flux intensity (J 0) and energy density (W 0) of these waves are derived depending on the parameters of the adjacent media and the propagation constant (ξ). It is shown that these variables as functions of ξ have minima. Thus, J 0 and W 0 increase sharply as the propagation constant deviates from the minimum value ξmin. Their values are greater, the larger the difference between the dielectric constants of the linear and nonlinear media is. An expression for the propagation velocity of a nonlinear surface wave is also obtained.

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

References

  1. D. Mikhalake, R. G. Nazitdinov, and V. K. Fedyanin, Fiz. Elements. Chastits At. Yadra, 20, No. 1, 198–252 (1989).

    Google Scholar 

  2. N. N. Akhmediev and A. Ankevich, Solitons, Fizmatlit, Moscow (2003), pp. 223–239.

  3. A. G. Litvak and V. A. Mironov, Izv. Vyssh. Uchebn. Zaved. Radiofiz., 11, 1911–1912 (1968).

    Google Scholar 

  4. V. M. Agranovich, V. S. Babichenko, and V. Ya. Chernyak, Pis’ma Zh. Eksp. Teor. Fiz., 32, 532–535 (1980).

    Google Scholar 

  5. A. A. Maradudin, Z. Phys. B: Condens. Matter, 41, 341–344 (1981).

    Article  ADS  Google Scholar 

  6. N. N. Akhmediev, Zh. Eksp. Teor. Fiz., 83, 545–553 (1982).

    Google Scholar 

  7. V. K. Fedyanin and D. Mihalache, Z. Phys., 47, 167–173 (1982).

    Article  Google Scholar 

  8. W. J. Tomlinson, Opt. Lett., 5, 323–326 (1980).

    Article  ADS  Google Scholar 

  9. B. B. Boiko and N. S. Petrov, Light Reflection from Amplifying and Nonlinear Media [in Russian], Nauka i Tekhnika, Minsk (1988), pp. 115–119.

    Google Scholar 

  10. F. I. Fedorov, Optics of Anisotropic Media [in Russian], Izd. Akad. Navuk BSSR, Minsk (1958), pp. 56–62.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institute of Advanced Training in New Areas of Science, Technology and Economics, Belarusian National Technical University, 77 Partizanski Ave., Minsk, 220107, Belarus

    N. S. Petrov & A. B. Zimin

Authors
  1. N. S. Petrov
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. A. B. Zimin
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to N. S. Petrov.

Additional information

Translated from Zhurnal Prikladnoi Spektroskopii, Vol. 78, No. 3, pp. 391–396, May–June, 2011.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Petrov, N.S., Zimin, A.B. Surface optical waves at the boundary with a nonlinear Kerr medium. J Appl Spectrosc 78, 365–370 (2011). https://doi.org/10.1007/s10812-011-9477-y

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10812-011-9477-y

Keywords

Search

Navigation