Skip to main content
Log in

Dynamic holography with nonplane waves in sillenites

  • Papers
  • Published:
Optical and Quantum Electronics Aims and scope Submit manuscript

Abstract

A three-dimensional model describing two-wave mixing in photorefractive crystals with finite beams of arbitrary shape is presented. The well-known longitudinal and transverse geometries are generalized by allowing an arbitrary orientation of the local grating vector. The coupled equations for the wave amplitudes are solved numerically in the small-angle approximation by introducing the light paths as characteristics. The influence of amplitude distributions and phase-front curvatures as well as the influence of geometrical arrangements and crystal properties (i.e. optical activity, externally applied voltage) on the energy exchange and the evolution of the polarization states is investigated. It is demonstrated that scanning the cross-section of the finite signal beam behind the crystal allows analysis of the coupling process inside the crystal which cannot be studied directly. The results of experiments with finite beams carried out on a BSO crystal are in good agreement with the numerical calculations.

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

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. M. P. PETROV, S. I. STEPANOV and A. V. KHOMENKO,Photorefractive Crystals in Coherent Optical Systems, Springer Series in Optical Sciences (Springer-Verlag, Heidelberg, 1991).

    Google Scholar 

  2. M. CRONIN-GOLOMB,Opt. Commun. 89 (1992) 276.

    Google Scholar 

  3. E. R. PARSHALL-GUJRAL and M. CRONIN-GOLOMB,Photorefractive Materials, Effects and Devices, PRM'93 Theophania, 1993, p. 162.

  4. P. S. J. RUSSELL,Phys. Rep. 71 (1981) 209.

    Google Scholar 

  5. L. SOLYMAR and D. J. COOKE,Volume Holography and Volume Gratings (Academic Press, London, 1981).

    Google Scholar 

  6. L. BOUTSIKARIS and F. DAVIDSON,Appl. Opt. 32 (1993) 1559.

    Google Scholar 

  7. S. MALLICK, D. ROUÈDE and A. G. APOSTOLIDIS,J. Opt. Soc. Am. B 4 (1987) 1247.

    Google Scholar 

  8. A. BRIGNON and K. H. WAGNER,Opt. Commun. 101 (1993) 239.

    Google Scholar 

  9. A. MARRAKCHI, R. V. JOHNSON and J. A. R. TANGUAY,J. Opt. Soc. Am. B 3 (1986) 321

    Google Scholar 

  10. A. MARRAKCHI, R. V. JOHNSON and J. A. R. TANGUAY,IEEE J. Quantum Electron.QE-23 (1987) 2142.

    Google Scholar 

  11. A. ERDMANN and R. KOWARSCHIK,IEEE J. Quantum Electron.QE-24 (1988) 155.

    Google Scholar 

  12. G. NOTNI and R. KOWARSCHIK,J. Opt. Soc. Am. A 11 (1989) 1682.

    Google Scholar 

  13. W. KRÓLIKOWSKI and M. CRONIN-GOLOMB,Opt. Commun. 89 (1992) 88.

    Google Scholar 

  14. A. YARIV and P. YEH,Optical Waves in Crystals, Wiley Series in Pure and Applied Optics (Wiley, New York, 1984).

    Google Scholar 

  15. K. H. RINGHOFER, S. TAO, J. TAKACS and L. SOLYMAR,Appl. Phys. B 52 (1991) 259.

    Google Scholar 

  16. A. MARRAKCHI and J. P. HUIGNARD,Appl. Phys. 24 (1981) 131.

    Google Scholar 

  17. B. FISCHER and S. WEISS,Appl. Phys. Lett. 53 (1988) 257.

    Google Scholar 

  18. N. V. KUKHTAREV, V. B. MARKOV, S. G. ODULOV, M. S. SOSKIN and V. L. VINETSKII,Ferroelectrics 22 (1979) 949.

    Google Scholar 

  19. W. F. AMES,Numerical Methods for Partial Differential Equations (Academic Press, New York, 1977).

    Google Scholar 

  20. H. TOPARKUS,Numerische Behandlung von Differentialgleichungen I, Wissenschaftliche Beitraege der FSU Jena (Friedrich-Schiller Universitaet Jena, 1983) p. 62.

  21. D. J. WEBB, A. KIESSLING, B. I. STURMAN, E. SHAMONINA and K. H. RINGHOFER,Opt. Commun. 108 (1994) 31.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Shamonina, E., Mann, M., Ringhofer, K.H. et al. Dynamic holography with nonplane waves in sillenites. Opt Quant Electron 28, 25–42 (1996). https://doi.org/10.1007/BF00578548

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00578548

Keywords

Navigation