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Journal of the Optical Society of America B

Journal of the Optical Society of America B

| OPTICAL PHYSICS

  • Vol. 16, Iss. 7 — Jul. 1, 1999
  • pp: 1099–1103

Rigorous three-dimensional theory of subharmonic instability in sillenites

B. I. Sturman, A. I. Chernykh, E. Shamonina, V. P. Kamenov, and K. H. Ringhofer  »View Author Affiliations


JOSA B, Vol. 16, Issue 7, pp. 1099-1103 (1999)
http://dx.doi.org/10.1364/JOSAB.16.001099


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Abstract

We propose a theory of the instability of the space-charge field induced in a semiconductor by the movement of light fringes against subharmonic generation. A crucial element of this theory is taking into account three-dimensional perturbations and higher spatial harmonics of the space-charge field. It is shown that, irrespective of fringe contrast and velocity, the strongest instability corresponds to the excitation of subharmonics that are not split in the transverse direction. The theory is applied to experimental data on subharmonic generation in sillenites.

© 1999 Optical Society of America

OCIS Codes
(190.3100) Nonlinear optics : Instabilities and chaos
(190.5330) Nonlinear optics : Photorefractive optics
(190.7070) Nonlinear optics : Two-wave mixing

Citation
B. I. Sturman, A. I. Chernykh, E. Shamonina, V. P. Kamenov, and K. H. Ringhofer, "Rigorous three-dimensional theory of subharmonic instability in sillenites," J. Opt. Soc. Am. B 16, 1099-1103 (1999)
http://www.opticsinfobase.org/josab/abstract.cfm?URI=josab-16-7-1099


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References

  1. B. I. Sturman, M. Mann, and K. H. Ringhofer, “Instability of moving gratings in photorefractive crystals,” Appl. Phys. A 55, 235–241 (1992).
  2. B. I. Sturman, M. Mann, J. Otten, and K. H. Ringhofer, “Space-charge waves and their parametric excitation,” J. Opt. Soc. Am. B 10, 1919–1932 (1993).
  3. T. E. McClelland, D. J. Webb, B. I. Sturman, and K. H. Ringhofer, “Generation of spatial subharmonic gratings in the absence of photorefractive beam coupling in sillenite crystals,” Phys. Rev. Lett. 73, 3082–3084 (1994).
  4. B. I. Sturman, T. E. McClelland, D. J. Webb, E. Shamonina, and K. H. Ringhofer, “Investigation of photorefractive subharmonics in the absence of wave mixing,” J. Opt. Soc. Am. B 12, 1621–1627 (1995).
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  11. Note that in Ref. 12 some of the present authors reported a preliminary version of this method. The corresponding numerical calculations and their results suffer, however, from a random error in the numerical program. Now two different programs give identical results and correct limiting cases, which practically excludes any accidental error.
  12. B. I. Sturman, E. Shamonina, and K. H. Ringhofer, “Explanation of the transverse subharmonic split in sillenites,” in Photorefractive Materials, Effects and Devices, PR’97 (Waseda University, Tokyo, 1997), pp. 145–148.
  13. T. E. McClelland, D. J. Webb, B. I. Sturman, M. Mann, and K. H. Ringhofer, “Low frequency peculiarities of the photorefractive response in sillenites,” Opt. Commun. 113, 371–377 (1995).
  14. T. E. McClelland, D. J. Webb, B. I. Sturman, E. Shamonina, M. Mann, and K. H. Ringhofer, “Excitation of higher spatial harmonics by a moving light pattern in sillenites,” Opt. Commun. 131, 315–321 (1996).
  15. H. C. Pedersen, D. J. Webb, and P. M. Johansen, “Fundamental characteristics of space-charge waves in photorefractive sillenite crystals,” J. Opt. Soc. Am. B 15, 2573–2580 (1998).
  16. E. Serrano, M. Carrascosa, F. A. López, and L. Solymar, “Subharmonic instability taking into account higher harmonics,” Appl. Phys. Lett. 64, 658–660 (1994).
  17. B. I. Sturman, M. Aguilar, F. Agulló-López, and K. H. Ringhofer, “Fundamentals of the nonlinear theory of photorefractive subharmonics,” Phys. Rev. E 55, 6072–6083 (1997).
  18. E. V. Podivilov, H. C. Pedersen, P. M. Johansen, and B. I. Sturman, “Transversal parametric oscillation and its external stability in photorefractive sillenite crystals,” Phys. Rev. E 57, 6112–6126 (1998).

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