Skip to main content

Investigations of Some Four-Field Parametric Interactions

  • Chapter
Luminescence and Nonlinear Optics

Part of the book series: The Lebedev Physics Institute Series ((LPIS,volume 59))

  • 106 Accesses

Abstract

Nonlinear parametric interaction of four fields is closely related to such interesting phenomena as frequency tripling [1, 2], modulation of the refractive index by a strong field [3, 4], Raman scattering of light [1, 2], small-angle “scattering of light by light” [5], etc. Veduta and Kirsanov [6] have investigated theoretically and experimentally (special cases) the parametric conversion of two quanta ħω1, ħω2 into two other quanta ħω3, ħω4 in a transparent nonlinear medium. Kirsanov and Selivanenko [7] have studied such parametric conversion under resonance conditions [7]. The parametric interaction of four waves is particularly effective when the spatial and time phase-matching conditions are satisfied.

A theoretical investigation is made of the four-field nonlinear mirror effect, in which a nonlinear medium exhibits frequency-selective reflection of some waves in the presence of other waves. Various mechanisms of such selection are considered and it is shown that the reflection coefficient of a nonlinear mirror may reach 100% A study is made also of mechanisms of the four-field parametric frequency selection within wide stimulated emission lines. The possibility of observation of the effects in question is discussed and their practical applications are considered.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Literature Cited

  1. S. A. Akhmanov and R. V. Khokhlov, Problems in Nonlinear Optics [in Russian], VINITI, Moscow (1964).

    Google Scholar 

  2. N. Boembergen, Nonlinear Optics, Benjamin, New York (1965).

    Google Scholar 

  3. C. C. Wang, Phys. Rev., 152:149 (1966).

    Article  ADS  Google Scholar 

  4. A. P. Veduta and B. P. Kirsanov, Zh. Eksp. Teor. Fiz., 54:1374 (1968).

    Google Scholar 

  5. R. Y. Chiao, P. L. Kelley, and E. Garmire, Phys. Rev. Lett., 17:1158 (1966)

    Article  ADS  Google Scholar 

  6. R. L. Carman, R. Y. Chiao, and P. L. Kelley, Phys. Rev. Lett., 17:1281 (1966).

    Article  ADS  Google Scholar 

  7. A. P. Veduta and B. P. Kirsanov, ZhETF Pis. Red., 7:221 (1968); Zh. Eksp. Teor. Fiz., 56:1175 (1969).

    ADS  Google Scholar 

  8. B. P. Kirsanov and A. S. Selivanenko, Opt. Spektrosk., 26:986 (1969).

    Google Scholar 

  9. B. P. Kirsanov, Tr. Fiz. Inst. Akad. Nauk SSSR, 18:187 (1965).

    Google Scholar 

  10. L. D. Derkacheva and A. I. Krymova, ZhETF Pis. Red., 9:564 (1969).

    ADS  Google Scholar 

  11. I. L. Fabelinskii, Molecular Scattering of Light, Plenum Press, New York (1968).

    Book  Google Scholar 

  12. G. A. Askar’yan, ZhETF Pis. Red., 4:400 (1966).

    ADS  Google Scholar 

  13. W. E. Lamb, Jr., Phys. Rev., 134:A1429 (1964).

    Article  ADS  Google Scholar 

  14. B. I. Stepanov and A. N. Rubinov, Usp. Fiz. Nauk 95:45 (1968).

    Google Scholar 

  15. A. B. Tikhonov and N. T. Shpak, Abstracts of Papers presented at Fourth All-Union Symp. on Nonlinear Optics, Kiev, 1968 [in Russian].

    Google Scholar 

  16. M. V. Vol’kenshtein, Structure and Physical Properties of Molecules [in Russian], Izd. AN SSSR, Moscow-Leningrad (1955).

    Google Scholar 

  17. O. Rahn, M. Maier, and W. Kaiser, Opt. Commun., 1:109 (1969).

    Article  ADS  Google Scholar 

Download references

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1973 Springer Science+Business Media New York

About this chapter

Cite this chapter

Kirsanov, B.P. (1973). Investigations of Some Four-Field Parametric Interactions. In: Skobel’tsyn, A.D.V. (eds) Luminescence and Nonlinear Optics. The Lebedev Physics Institute Series, vol 59. Springer, Boston, MA. https://doi.org/10.1007/978-1-4899-2650-0_6

Download citation

  • DOI: https://doi.org/10.1007/978-1-4899-2650-0_6

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4899-2652-4

  • Online ISBN: 978-1-4899-2650-0

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics