Abstract
We present a theoretical and experimental study of the spatio-temporal properties of the spontaneous parametric emission generated in a type I LBO crystal around degeneracy. The number of quasiphase-matched modes is shown to be equal to the number of spatio-temporal degrees of freedom of the image that can be parametrically amplified. From this number, we demonstrate the possibility of predicting the total number of photons generated by parametric fluorescence. Correlation is observed between spatial intensity fluctuations corresponding to pairs of signal-idler modes.
Similar content being viewed by others
References
W. Louisell, A. Yariv, A. Siegman, Phys. Rev. 124, 1646(1961).
D. Magde, H. Mahr, Phys. Rev. Lett. 18, 905 (1967).
S. Haris, M. Oshman, R. Byer, Phys. Rev. Lett. 18, 732(1967).
J. Pearson, A. Yariv, U. Ganiel, Appl. Opt. 12, 1165(1973).
R. Byer, S. Haris, Phys. Rev. 168, 1064 (1968).
K. Haldi, M. Sundheimer, P. Aschieri, P. Baldi, M. De Micheli, D. Ostrowsky, F. Laurell, J. Opt. Soc. Am. B 14, 3197 (1997).
A. Yariv, Quantum Electronics, 3rd edn. (John Wiley and Sons, New York, 1989), pp. 430–435.
E. Cheung, K. Koch, G. Moore, J. Liu, Opt. Lett. 19, 168(1994).
K. Koch, E. Cheung, G. Moore, S. Chakmakjian, J. Liu, IEEE J. Quant. Electron. 31, 769 (1995).
F. Devaux, E. Lantz, A. Lacourt, D. Gindre, H. Maillotte, P. Doreau, T. Laurent, Nonlin. Opt. 11, 25 (1995).
S. Prasad, J. Opt. Soc. Am. A 11, 2799 (1994).
A. Gatti, L.A. Lugiato, G. Oppo, R. Martin, P. DiTrapani, A. Berzanskis, Opt. Expr. 1, 21 (1997).
F. Devaux, E. Lantz, Opt. Commun. 114, 295 (1995).
In the case of Gaussian beams, this value corresponds to bandwidths (Δt; Δv) giving a product ΔtΔv = 1.
K. Bencheikh, E. Huntziger, J. Levenson, J. Opt. Soc. Am. B 12, 847 (1995).
F. Devaux, E. Lantz, J. Opt. Soc. Am. B 12, 2245 (1995).
E. Lantz, L. Han, A. Lacourt, J. Zyss, Opt. Commun. 97,245 (1993).
C. Chen, Y. Yu, A. Jiang, B. Wu, G. You, R. Liand, S. Lin, J. Opt. Soc. Am. B 6, 616 (1989).
F. Devaux, Ph.D. thesis, UFR des Sciences et Techniques de l’Université de Franche-Comté, 1996.
The center of these circular profiles has been precisely determined thanks to the almost perfect axial symmetry of the fluctuations, using an algorithm originally designed for determining the axis of turbofan engines that present the same symmetry: L. Oriat, E. Lantz, Patt. Recogn. 31, 761 (1998).
See for example: A. Heidmann, R. Horowicz, S. Reynaud, E. Giacobino, C. Fabre, G. Camy, Phys. Rev. Lett. 59, 2555 (1987).
For a review, see: L. Lugiato, M. Brambilla, A. Gatti, Adv. At. Mol. Opt. Phys. 40, 229 (1998).
I. Marzoli, A. Gatti, L. Lugiato, Phys. Rev. Lett. 78, 2092 (1997).
M. Kolobov, I. Sokolov, Sov. Phys. JETP 69, 1097 (1989).
M. Kolobov, I. Sokolov, Europhys. Lett. 15, 271 (1991).
T. Pittman, Y. Shih, D.V. Strekalov, A. Sergienko, Phys. Rev. A 52, 3429 (1995).
M.L. Marable, S. Choi, P. Kumar, Opt. Expr. 2, 84 (1998).
P. Di Trapani, A. Berzanskis, S. Minardi, S. Sapone, W. Chinaglia, Phys. Rev. Lett. 80, 265 (1998).
P. Di Trapani, A. Berzanskis, S. Minardi, S. Sapone, W. Chinaglia, Phys. Rev. Lett. 81, 5133 (1998).
Some related results are given in B.M. Jost, A.V. Sergienko, A.F. Abarraddy, B.E.A. Salek, M.C. Teich, Opt. Expr. 3, 81 (1998).
Author information
Authors and Affiliations
Corresponding author
Additional information
Unité Mixte de Recherche 6603
Rights and permissions
About this article
Cite this article
Devaux, F., Lantz, E. Spatial and temporal properties of parametric fluorescence around degeneracy in a type I LBO crystal. Eur. Phys. J. D 8, 117–124 (2000). https://doi.org/10.1007/s10053-000-9073-9
Received:
Revised:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10053-000-9073-9