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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: 1120–1126

Influence of quadratic recombination on grating recording in photorefractive crystals

Per Michael Johansen, Henrik C. Pedersen, and Evgeny V. Podivilov  »View Author Affiliations


JOSA B, Vol. 16, Issue 7, pp. 1120-1126 (1999)
http://dx.doi.org/10.1364/JOSAB.16.001120


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Abstract

The influence of quadratic recombination is analyzed theoretically and numerically by formal derivation of the material wave equation including this effect. Analytically, it is shown how the quadratic recombination alters the nonlinear properties of space-charge waves. The influence of higher-harmonic components induces both a nonlinear frequency shift and a nonlinear shift in dissipation. Numerically, it is shown that 12 higher-harmonic components are necessary to cover the entire region of intensity contrast and that the quadratic recombination effect gives significant corrections for small frequencies below the fundamental resonance frequency.

© 1999 Optical Society of America

OCIS Codes
(090.7330) Holography : Volume gratings
(160.5320) Materials : Photorefractive materials
(190.4410) Nonlinear optics : Nonlinear optics, parametric processes
(190.5330) Nonlinear optics : Photorefractive optics

Citation
Per Michael Johansen, Henrik C. Pedersen, and Evgeny V. Podivilov, "Influence of quadratic recombination on grating recording in photorefractive crystals," J. Opt. Soc. Am. B 16, 1120-1126 (1999)
http://www.opticsinfobase.org/josab/abstract.cfm?URI=josab-16-7-1120


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References

  1. Ph. Refregier, L. Solymar, H. Rajbenbach, and J.-P. Huignard, “Two-beam coupling in photorefractive Bi12SiO20 crystals with moving grating: theory and experiment,” J. Appl. Phys. 58, 45–57 (1985). [CrossRef]
  2. E. Serrano, M. Cassascosa, and F. Agulló-López, “Nonperturbative analytical solution for steady-state photorefractive recording,” Opt. Lett. 20, 1910–1912 (1995). [CrossRef] [PubMed]
  3. L. B. Au and L. Solymar, “Higher harmonic grating in photorefractive materials at large modulation with moving fringes,” J. Opt. Soc. Am. A 7, 1554–1561 (1990). [CrossRef]
  4. G. A. Brost, K. M. Magde, J. J. Larkin, and M. T. Harris, “Modulation dependence of photorefractive response with moving gratings: numerical analysis and experiment,” J. Opt. Soc. Am. B 11, 1764–1772 (1994). [CrossRef]
  5. B. I. Sturman, M. Mann, J. Otten, and K. H. Ringhofer, “Space-charge waves in photorefractive crystals and their parametric excitation,” J. Opt. Soc. Am. B 10, 1919–1932 (1993). [CrossRef]
  6. H. C. Pedersen and P. M. Johansen, “Longitudinal, degenerate, and transversal parametric oscillation in photorefractive media,” Phys. Rev. Lett. 77, 3106–3109 (1996); “Longitudinal, degenerate, and transversal photorefractive parametric oscillation: theory and experiment,” J. Opt. Soc. Am. B 14, 1418–1427 (1997). [CrossRef] [PubMed]
  7. H. C. Pedersen and P. M. Johansen, “Observation of nondegenerate photorefractive parametric amplification,” Phys. Rev. Lett. 76, 4159–4162 (1996); “Degenerate photorefractive parametric amplification in photorefractive media: theoretical analysis,” J. Opt. Soc. Am. B 13, 590–600 (1996). [CrossRef] [PubMed]
  8. 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). [CrossRef]
  9. P. M. Johansen, H. C. Pedersen, E. V. Podivilov, and B. I. Sturman, “Steady-state analysis of ac subharmonic generation in photorefractive sillenite crystals,” Phys. Rev. A 58, 1601–1604 (1998); “Ac square-wave field-induced subharmonics in photorefractive sillenite: threshold for excitation by including higher harmonics,” J. Opt. Soc. Am. B 16, 103–110 (1999). [CrossRef]
  10. T. E. McClelland, D. J. Webb, B. I. Sturman, M. Mann, and K. H. Ringhofer, “Low frequency peculiarities of the photorefractive response in sillenite,” Opt. Commun. 113, 371–377 (1995). [CrossRef]
  11. H. C. Pedersen, P. M. Johansen, E. V. Podivilov, and D. J. Webb, “Excitation of higher harmonic gratings in ac-field biased photorefractive crystals,” Opt. Commun. 154, 93–99 (1998). [CrossRef]
  12. 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). [CrossRef]
  13. N. V. Kukhtarev, V. B. Markov, S. G. Odoulov, M. S. Soskin, and V. L. Vinetskii, “Holographic storage in electrooptic crystals. I. Steady state,” Ferroelectrics 22, 949–960 (1979). [CrossRef]
  14. T. J. Hall, R. Jaura, L. M. Connors, and P. D. Foote, “The photorefractive effect—a review,” Prog. Quantum Electron. 10, 77–146 (1985). [CrossRef]
  15. P. M. Johansen, “Vectorial solution to the photorefractive band transport model in the spatial and temporal Fourier transformed domain,” IEEE J. Quantum Electron. 25, 530–539 (1989). [CrossRef]
  16. Ph. Refreiger, L. Solymar, H. Rajbenbach, and J.-P. Huignard, “Two-beam coupling in photorefractive Bi12SiO20 crystals with moving gratings: theory and experiments,” J. Appl. Phys. 58, 45–57 (1985). [CrossRef]
  17. M. Peltier and F. Micheron, “Volume hologram recording and charge transfer process in Bi12SiO20 and Bi12GeO20,” J. Appl. Phys. 48, 3683–3690 (1977). [CrossRef]

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