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Journal of the Optical Society of America B

Journal of the Optical Society of America B


  • Vol. 16, Iss. 3 — Mar. 1, 1999
  • pp: 414–419

Nonlinear grating interactions in multibeam photorefractive recording: theoretical investigation

J. Limeres, M. Carrascosa, F. Agulló-López, P. E. Andersen, and P. M. Petersen  »View Author Affiliations

JOSA B, Vol. 16, Issue 3, pp. 414-419 (1999)

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The nonlinear interactions between gratings generated during multibeam photorefractive recording with one reference and N object beams have been investigated theoretically. It is shown that nonlinear cross talk between gratings, which is well known in three-beam recording, persists and even increases for the practical relevant case in which the number of object beams N is large. The magnitude of the cross talk depends on the particular grating, and it is significant for a range of intensities commonly used in many multibeam applications. Finally, it is shown that for large N(N>5) the nonlinear interactions strongly suppress most gratings, whereas specific gratings can be selectively amplified.

© 1999 Optical Society of America

OCIS Codes
(090.7330) Holography : Volume gratings
(190.5330) Nonlinear optics : Photorefractive optics

J. Limeres, M. Carrascosa, F. Agulló-López, P. E. Andersen, and P. M. Petersen, "Nonlinear grating interactions in multibeam photorefractive recording: theoretical investigation," J. Opt. Soc. Am. B 16, 414-419 (1999)

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  1. P. E. Andersen, P. M. Petersen, and B. Buchhave, “Cross-talk in dynamic optical interconnects in photorefractive crystals,” Appl. Phys. Lett. 65, 271–273 (1994). [CrossRef]
  2. P. Ashtana, G. P. Nordin, A. R. Tanguay, Jr., and B. K. Jenkins, “Analysis of weighted fan-out/fan-in volume holographic optical interconnections,” Appl. Opt. 32, 1441–1469 (1993). [CrossRef]
  3. C. Gu, S. Campbell, and P. Yeh, “Matrix–matrix multiplication by using grating degeneracy in photorefractive media,” Opt. Lett. 18, 146–148 (1993). [CrossRef] [PubMed]
  4. C. Gu and P. Yeh, “Application of photorefractive volume holography in optical computing,” Int. J. Nonlinear Opt. Phys. 3, 317–337 (1994). [CrossRef]
  5. L. Hesselink and M. C. Bashaw, “Optical memories implemented with photorefractive media,” Opt. Quantum Electron. 25, S611–S661 (1993). [CrossRef]
  6. F. Vachss and L. Hesselink, “Nonlinear photorefractive response at high modulation depth,” J. Opt. Soc. Am. A 5, 690–701 (1988). [CrossRef]
  7. L. B. Au and L. Solymar, “Higher harmonic gratings in photorefractive materials at large modulations with moving fringes,” J. Opt. Soc. Am. A 7, 1554–1562 (1990). [CrossRef]
  8. E. Serrano, V. López, M. Carrascosa, and F. Agulló-López, “Steady-state photorefractive gratings in LiNbO3 for strong light modulation depths,” IEEE J. Quantum Electron. 30, 875–880 (1994). [CrossRef]
  9. R. Saxena and T. Y. Chang, “Perturbative analyses of higher-order photorefractive gratings,” J. Opt. Soc. Am. B 9, 1467–1472 (1992). [CrossRef]
  10. L. Boutsikaris and F. Davidson, “Perturbative analyses of higher-order photorefractive gratings in InP:Fe,” Opt. Commun. 105, 411–420 (1994). [CrossRef]
  11. E. Serrano, M. Carrascosa, and F. Agulló-López, “Nonperturbative analytical solution for steady-state photorefractive recording,” Opt. Lett. 20, 1910–1912 (1995). [CrossRef] [PubMed]
  12. P. E. Andersen, P. Buchhave, P. M. Petersen, and M. V. Vasnetsov, “Nonlinear combinations of gratings in Bi12SiO20: theory and experiments,” J. Opt. Soc. Am. B 12, 1423–1435 (1995).
  13. P. E. Andersen, P. M. Petersen, and P. Buchhave, “Nonlinear combinations of gratings in drift dominated recording in Bi12SiO20,” J. Opt. Soc. Am. B 12, 2453–2462 (1995). [CrossRef]
  14. P. E. Andersen, P. Buchhave, and P. M. Petersen, “Strong coupling between coherent gratings due to nonlinear spatial frequency mixing in Bi12SiO20,” Opt. Commun. 128, 185–192 (1996). [CrossRef]
  15. L. Klees, C. Denz, and T. Tschudi, “Intensity crosstalk and angular selectivity of multibeam coupling in photorefractive BaTiO3,” Opt. Commun. 77, 65–70 (1990). [CrossRef]
  16. C. Gu, J. Hong, I. McMichael, R. Saxena, and F. Mok, “Cross-talk limited storage capacity of volume holographic memory,” J. Opt. Soc. Am. A 9, 1978–1983 (1992). [CrossRef]
  17. N. V. Kukhtarev, V. B. Markov, S. G. Odulov, M. S. Soskin, and V. L. Vinetskii, “Holographic storage in electrooptic crystals. I. Steady state,” Ferroelectrics 22, 949–960 (1979). [CrossRef]
  18. W. H. Press, S. A. Teukolsky, W. T. Weterling, and B. P. Flannery, Numerical Recipes in C, 2nd ed. (Cambridge U. Press, Cambridge, 1992).
  19. H. Kogelnik, “Coupled wave theory for thick hologram gratings,” Bell Syst. Tech. J. 48, 2909–2945 (1969). [CrossRef]
  20. L. Solymar, D. J. Webb, and A. Grunet-Jepsen, The Physics and Applications of Photorefractive Materials (Oxford U. Press, Oxford, 1996).

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