Abstract
Four-wave mixing equations in photorefractive media are approximated by different dynamical models and treated by different numerical methods. It is shown that the onset of instabilities and irregular behaviour in the same crystal, with a single wave mixing region, may be dependent both on the model used and the numerical method applied. Long-time irregular dynamics following from any finite-order difference schemes should be viewed with caution.
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For an overview of numerical methods applicable to chaotic systems, see for example:T. S. Parker andL. O. Chua,Practical Numerical Algorithms for Chaotic Systems (Springer, New York, 1989).
H. Bai-Lin,Elementary Symbolic Dynamics (World Scientific, Singapore, 1989).
P. Gunter andJ. P. Huignard (eds),Photorefractive Materials and Their Applications, I and II (Springer, Berlin, 1988, 1989).
W. Krolikwoski, K. D. Shaw, M. Cronin-Golomb andA. Bledowski,J. Opt. Soc. Am. B6 (1989) 1828;W. Krolikowski, M. R. Belić, M. Cronin-Golomb andA. Bledowski,J. Opt. Soc. Am. B 7, (1990) 1204.
N. V. Kukhtarev, V. Markov andS. Odulov,Opt. Commun. 23 (1977) 338.
M. R. Belić andP. Stojkov,Opt. Quant. Electron. 22, (1990) 157.
M. Yamaguti andS. Ushik I,Physica 3D (1981) 618.
C. Grebogi, S. M. Hammel, J. A. Yorke andT. Sauer,Phys. Rev. Lett. 65 (1990) 1527.
R. M. Corles, C. Essex andM. A. H. Nerenberg,Phys. Lett. A157 (1991) 27.
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Belić, M., Ljuboje, Z. Chaos in phase conjugation: physical vs numerical instabilities. Opt Quant Electron 24, 745–753 (1992). https://doi.org/10.1007/BF00620154
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DOI: https://doi.org/10.1007/BF00620154