Abstract
An analytical theory of the polarization-degenerate interaction of light waves in cubic photorefractive crystals of the 23 and \(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l} \) space symmetry groups is proposed. The theory, based on a systematic use of the spatial symmetry properties and the σ-matrix apparatus, provides for a unified description of the polarization and orientation properties of the wave interactions, including the AC and DC methods for enhancement of the nonlinear response and the influence of optical activity, elastooptical effect, and spatial inhomogeneity. The application of the theory to the description of the properties of photorefractive crystals Bi12TiO20 and Bi12SiO20 shows a good agreement with experimental data.
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References
Photorefractive Materials and Their Applications, Ed. by P. Günter and J.-P. Huignard (Springer-Verlag, Berlin, 1988, 1989), Top. Appl. Phys., Vols. 61, 62.
M. P. Petrov, S. I. Stepanov, and A. V. Khomenko, Photorefractive Crystals in Coherent Optics (Nauka, St. Petersburg, 1992).
L. Solymar, D. J. Webb, and A. Grunnet-Jepsen, The Physics and Applications of Photorefractive Materials (Claredon Press, Oxford, 1996).
P. Refregier, L. Solymar, H. Rajbenbach, et al., J. Appl. Phys. 58, 45 (1985).
S. I. Stepanov and M. P. Petrov, Opt. Commun. 53, 292 (1985).
E. Raita, A. A. Kamshilin, V. V. Prokofiev, et al., Appl. Phys. Lett. 70, 1641 (1997).
A. A. Kamshilin, E. Raita, and A. V. Khomenko, J. Opt. Soc. Am. B 13, 2536 (1996).
E. Shamonina, K. H. Ringhofer, B. I. Sturman, et al., Opt. Lett. 23, 1435 (1998).
A. A. Kamshilin, E. Raita, and T. Jaaskelainen, Opt. Rev. 3, 443 (1996).
A. A. Izvanov, A. E. Mandel’, D. N. Khat’kov, et al., Avtometriya 2, 80 (1986).
S. I. Stepanov, S. M. Shandarov, and N. D. Khat’kov, Fiz. Tverd. Tela (Leningrad) 29, 3054 (1987) [Sov. Phys. Solid State 29, 1754 (1987)].
G. Pauliat, P. Mathey, and G. Roosen, J. Opt. Soc. Am. B 8, 1942 (1991).
S. M. Shandarov, A. Emelyanov, O. Kobozev, et al., Proc. SPIE 2801, 221 (1996).
M. Zgonik, K. Nakagava, and P. Günter, J. Opt. Soc. Am. B 12, 1416 (1995).
J. P. Herriau, D. Rojas, J. P. Huignard, et al., Ferroelectrics 75, 271 (1987).
S. F. Lyuksyutov, B. Buchhave, and M. V. Vasnetsov, Phys. Rev. Lett. 79, 67 (1997).
N. V. Kukhtarev, G. E. Dovgalenko, and V. N. Starkov, Appl. Phys. A: Solid Surf. A 33, 227 (1984).
E. Shamonina, G. Cedilnik, M. Mann, et al., Appl. Phys. B: Lasers Opt. B 64, 49 (1997).
E. Shamonina, V. P. Kamenov, K. H. Ringhofer, et al., J. Opt. Soc. Am. B 15, 2552 (1998).
V. V. Shepelevich, N. N. Egorov, and V. Shepelevich, J. Opt. Soc. Am. B 11, 1394 (1994).
H. C. Pedersen and P. M. Johansen, J. Opt. Soc. Am. B 12, 592 (1995).
H. Tuovinen, A. A. Kamshilin, and J. Jaaskelainen, J. Opt. Soc. Am. B 14, 3383 (1997).
Yu. I. Sirotin and M. P. Shaskolskaya, Fundamentals of Crystal Physics (Nauka, Moscow, 1979; Mir, Moscow, 1982).
J. F. Nye, Physical Properties of Crystals: Their Representation by Tensors and Matrices (Clarendon Press, Oxford, 1957; Mir, Moscow, 1969).
L. D. Landau and E. M. Lifshitz, Course of Theoretical Physics, Vol. 3: Quantum Mechanics: Non-Relativistic Theory (Nauka, Moscow, 1996; Pergamon, New York, 1977, 3rd ed.).
V. M. Galitskii, B. M. Karnakov, and V. I. Kogan, Problems in Quantum Mechanics (Nauka, Moscow, 1981).
A. G. Apostolidis, S. Mallik, D. Rouéde, et al., Opt. Commun. 56, 73 (1985).
S. Mallik, D. Rouéde, and A. G. Apostolidis, J. Opt. Soc. Am. B 4, 1247 (1987).
A. Marrakchi, R. V. Johnson, and A. R. Tanguay, J. Opt. Soc. Am. B 3, 321 (1986).
V. V. Shepelevich, S. M. Shandarov, and A. E. Mandel, Ferroelectrics 110, 235 (1990).
J. R. Goff, J. Opt. Soc. Am. B 12, 99 (1995).
R. A. Suris and B. I. Fuks, Fiz. Tekh. Poluprovodn. (Leningrad) 9, 1717 (1975) [Sov. Phys. Semicond. 9, 1130 (1975)].
B. I. Sturman, M. Mann, J. Otten, et al., J. Opt. Soc. Am. B 10, 1919 (1993).
B. I. Sturman, T. E. McClelland, D. J. Webb, et al., J. Opt. Soc. Am. B 12, 1621 (1995).
C. S. K. Walsh, A. K. Powell, and T. J. Hall, J. Opt. Soc. Am. B 7, 288 (1990).
P. M. Johansen, H. C. Pedersen, E. V. Podivilov, et al., J. Opt. Soc. Am. B 16, 103 (1999).
L. D. Landau and E. M. Lifshitz, The Classical Theory of Fields (Nauka, Moscow, 1973; Pergamon, Oxford, 1975).
D. J. Webb and L. Solymar, Opt. Commun. 83, 287 (1991).
H. C. Ellin and L. Solymar, Opt. Commun. 130, 85 (1996).
H. C. Pedersen, P. E. Andersen, and P. M. Johansen, Opt. Lett. 20, 2475 (1995).
M. Cronin-Golomb, B. Fisher, J. O. White, et al., IEEE J. Quantum Electron. 20, 12 (1984).
S. G. Odulov, M. S. Soskin, and A. I. Khizhnyak, Lasers on Dynamical Lattices (Nauka, Moscow, 1990).
E. V. Podivilov, B. I. Sturman, H. C. Pedersen, et al., Phys. Rev. Lett. 85, 1867 (2000).
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Translated from Zhurnal Éksperimental’no\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l} \) i Teoretichesko\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l} \) Fiziki, Vol. 119, No. 1, 2001, pp. 125–141.
Original Russian Text Copyright © 2001 by Sturman, Podivilov, Kamenov, Nippolainen, Kamshilin.
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Sturman, B.I., Podivilov, E.V., Kamenov, V.P. et al. Vectorial wave interaction in cubic photorefractive crystals. J. Exp. Theor. Phys. 92, 108–122 (2001). https://doi.org/10.1134/1.1348467
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DOI: https://doi.org/10.1134/1.1348467