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.
Similar content being viewed by others
References
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).
M. CRONIN-GOLOMB,Opt. Commun. 89 (1992) 276.
E. R. PARSHALL-GUJRAL and M. CRONIN-GOLOMB,Photorefractive Materials, Effects and Devices, PRM'93 Theophania, 1993, p. 162.
P. S. J. RUSSELL,Phys. Rep. 71 (1981) 209.
L. SOLYMAR and D. J. COOKE,Volume Holography and Volume Gratings (Academic Press, London, 1981).
L. BOUTSIKARIS and F. DAVIDSON,Appl. Opt. 32 (1993) 1559.
S. MALLICK, D. ROUÈDE and A. G. APOSTOLIDIS,J. Opt. Soc. Am. B 4 (1987) 1247.
A. BRIGNON and K. H. WAGNER,Opt. Commun. 101 (1993) 239.
A. MARRAKCHI, R. V. JOHNSON and J. A. R. TANGUAY,J. Opt. Soc. Am. B 3 (1986) 321
A. MARRAKCHI, R. V. JOHNSON and J. A. R. TANGUAY,IEEE J. Quantum Electron.QE-23 (1987) 2142.
A. ERDMANN and R. KOWARSCHIK,IEEE J. Quantum Electron.QE-24 (1988) 155.
G. NOTNI and R. KOWARSCHIK,J. Opt. Soc. Am. A 11 (1989) 1682.
W. KRÓLIKOWSKI and M. CRONIN-GOLOMB,Opt. Commun. 89 (1992) 88.
A. YARIV and P. YEH,Optical Waves in Crystals, Wiley Series in Pure and Applied Optics (Wiley, New York, 1984).
K. H. RINGHOFER, S. TAO, J. TAKACS and L. SOLYMAR,Appl. Phys. B 52 (1991) 259.
A. MARRAKCHI and J. P. HUIGNARD,Appl. Phys. 24 (1981) 131.
B. FISCHER and S. WEISS,Appl. Phys. Lett. 53 (1988) 257.
N. V. KUKHTAREV, V. B. MARKOV, S. G. ODULOV, M. S. SOSKIN and V. L. VINETSKII,Ferroelectrics 22 (1979) 949.
W. F. AMES,Numerical Methods for Partial Differential Equations (Academic Press, New York, 1977).
H. TOPARKUS,Numerische Behandlung von Differentialgleichungen I, Wissenschaftliche Beitraege der FSU Jena (Friedrich-Schiller Universitaet Jena, 1983) p. 62.
D. J. WEBB, A. KIESSLING, B. I. STURMAN, E. SHAMONINA and K. H. RINGHOFER,Opt. Commun. 108 (1994) 31.
Author information
Authors and Affiliations
Rights 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
Received:
Accepted:
Issue Date:
DOI: https://doi.org/10.1007/BF00578548