Abstract
An analytical model, which describes the drift and diffusion mechanisms for the formation of the nonlinear response (local and nonlocal nonlinearities) of photorefractive crystals on the microscopic level, is constructed. New types of stable self-consistent distributions of the light field intensity, i.e., spatial solitons, are found. The trajectories of their motion (self-bending) are calculated, and the possibility of observing a new nonlinear-optical effect in photorefractive crystals, viz., the formation of spatial shock waves, is demonstrated. The modulation instability appearing when plane waves propagate in photorefractive crystals is analyzed, and the characteristic spatial scales of the light field distribution formed as a result of self-interaction (fanning) are determined. The results of the analysis are confirmed by computer simulation data.
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References
S. A. Akhmanov, V. A. Vysloukh, and A. S. Chirkin, Optics of Femtosecond Laser Pulses, American Institute of Physics, New York (1992).
Photorefractive Materials and Applications (Topics in Applied Physics, Vol. 61), P. Gunter and J.-P. Huignard (eds.), Springer, Heidelberg (1988).
Photorefractive Materials and Applications (Topics in Applied Physics, Vol. 62), P. Gunter and J.-P. Huignard (eds.), Springer, Heidelberg (1988).
M. P. Petrov, S. I. Stepanov, and A. V. Khomenko, Photorefractive Crystals in Coherent Optical Systems, Springer-Verlag, Berlin-New York (1991).
S. G. Odulov, M. S. Soskin, and A. I. Khizhnyak, Optical Oscillators with Four-Wave Mixing, Harwood Academic, Chur, 1991.
M. Cronin-Colomb, B. Fisher, J. O. White, and A. Yariv, IEEE J. Quantum Electron. QE-20, 12 (1984).
D. Engin, S. Orlov, M. Segev et al., Phys. Rev. Lett. 74, 1743 (1995).
N. Kukhtarev, V. Markov, S. Odulov et al., Ferroelectrics 22, 949 (1979).
J. Feinberg, Opt. Lett. 7, 486 (1982).
A. A. Zozulya, Kvantovaya Elektron. 19, 733 (1992) [Sov. J. Quantum Electron. 22, 677 (1992)]
V. A. Vysloukh, V. Kutuzov, and V. V. Shuvalov, Kvantovaya Elektron. 23, 157 (1996).
A. V. Mamaev and A. A. Zozulya, Opt. Commun. 79, 373 (1990).
N. I. Bel’dyugina and V. V. Shkunov, Kvantovaya Elektron. 21, 234 (1994).
M. A. Vorontzov, ICONO’95 Tech. Digest (St. Petersburg, Russia) 1, 345 (1995).
M. Segev, B. Crosignani, and A. Yariv, Phys. Rev. Lett. 68, 923 (1992).
M. D. Iturbe Castillo, P. A. Marquez Aguilar, J. J. Sanchez Mondragon, et al., Appl. Phys. Lett. 64, 408 (1994).
G. Duree, J. Shultz, G. Salamo et al., Phys. Rev. Lett. 71, 533 (1994).
G. C. Valley, M. Segev, B. Crosignani et al., Phys. Rev. A 50, R4457 (1994).
D. N. Christodoulides and M. I. Carvalho, J. Opt. Soc. Am. B 12, 1628 (1995).
M. Segev, G. C. Valley, S. R. Singh et al., Opt. Lett. 20, 1764 (1995).
G. Duree, M. Morin, G. Salamo et al., Phys. Rev. Lett. 74, 1978 (1995).
G. Duree, G. Salamo, M. Segev et al., Opt. Lett. 19, 1195 (1994).
V. I. Bespalov and V. I. Talanov, JETP Lett. 3, 307 (1966).
D. Iturbe Castillo, M. Torres Cisneros, J. J. Sanchez Mondragon et al., Opt. Lett. 20, 1 (1995).
J. Feinberg, J. Opt. Soc. Am. 72, 46 (1982).
D. N. Christodoulides and M. I. Carvalho, Opt. Lett. 19, 1714 (1994).
A. A. Zozulya, M. Saffman, and D. Z. Anderson, Phys. Rev. Lett. 73, 818 (1994).
O. V. Lyubomudrov and V. V. Shkunov, Kvantovaya Elektron. 21, 561 (1994).
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Zh. Éksp. Teor. Fiz. 111, 705–716 (February 1997)
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Vysloukh, V.A., Kutuzov, V., Petnikova, V.M. et al. Formation of spatial solitons and spatial shock waves in photorefractive crystals. J. Exp. Theor. Phys. 84, 388–394 (1997). https://doi.org/10.1134/1.558128
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DOI: https://doi.org/10.1134/1.558128