OSA's Digital Library

Journal of the Optical Society of America B

Journal of the Optical Society of America B


  • Editor: Henry M. Van Driel
  • Vol. 24, Iss. 3 — Mar. 1, 2007
  • pp: 446–456

Vectorial solution of Kukhtarev equations for doubly doped crystals and optimal choice of recording directions in nonvolatile holographic storage

Yu Zhou, Liren Liu, Zhu Luan, Aimin Yan, and Dean Liu  »View Author Affiliations

JOSA B, Vol. 24, Issue 3, pp. 446-456 (2007)

View Full Text Article

Enhanced HTML    Acrobat PDF (203 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



Vectorial Kukhtarev equations modified for the nonvolatile holographic recording in doubly doped crystals are analyzed, in which the bulk photovoltaic effect and the external electrical field are both considered. On the basis of small modulation approximation, both the analytic solution to the space-charge field with time in the recording phase and in the readout phase are deduced. The analytic solutions can be easily simplified to adapt the one-center model, and they have the same analytic expressions given those when the grating vector is along the optical axis. Based on the vectorial analyses of the band transport model an optimal recording direction is given to maximize the refractive index change in doubly doped LiNbO 3 : Fe : Mn crystals.

© 2007 Optical Society of America

OCIS Codes
(090.0090) Holography : Holography
(090.2900) Holography : Optical storage materials
(090.7330) Holography : Volume gratings

ToC Category:

Original Manuscript: April 3, 2006
Revised Manuscript: September 25, 2006
Manuscript Accepted: October 5, 2006
Published: February 15, 2007

Yu Zhou, Liren Liu, Zhu Luan, Aimin Yan, and Dean Liu, "Vectorial solution of Kukhtarev equations for doubly doped crystals and optimal choice of recording directions in nonvolatile holographic storage," J. Opt. Soc. Am. B 24, 446-456 (2007)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. K. Buse, A. Adibi, and D. Psaltis, "Non-volatile holographic storage in doubly doped lithium niobate crystals," Nature 339, 665-668 (1998).
  2. L. Liu, B. Liu, X. Yan, L. Shao, G. Li, Y. Yin, J. Li, and Y. Guo, "Photorefractive miniaturized integration of optical 3D systems," J. Opt. A Pure Appl. Opt. 1, 220-224 (1999). [CrossRef]
  3. A. Adibi, K. Buse, and D. Psaltis, "Two-center holographic recording," J. Opt. Soc. Am. B 18, 584-601 (2001). [CrossRef]
  4. L. Solymar, D. Webb, and A. Grunnet-Jepsen, The Physics and Applications of Photorefractive Materials (Clarendon, 1996).
  5. M. P. Petrov, S. I. Stepanov, and A. V. Khomenko, Photorefractive Crystals in Coherent Systems (Springer-Verlag, 1991).
  6. B. I. Sturman, E. V. Podivilov, K. H. Ringhofer, E. Shamonina, V. P. Kamenov, E. Nippolainen, V. V. Prokofiev, and A. A. Kamshilin, "Theory of photorefractive vectorial coupling in cubic crystals," Phys. Rev. E 60, 3332-3352 (1999). [CrossRef]
  7. K. Paivasaari, A. A. Kamshilin, V. V. Prokofiev, B. Sturman, G. F. Calvo, M. Carrascosa, and F. Agulló-López, "Linear phase demodulation in photorefractive crystals with nonlocal response," J. Appl. Phys. 90, 3135-3141 (2001). [CrossRef]
  8. G. F. Calvo, B. I. Sturman, F. Agulló-López, M. Carrascosa, A. A. Kamshilin, and K. Paivasaari, "Grating translation technique for vectorial beam coupling and its applications to linear signal detection," J. Opt. Soc. Am. B 19, 1564-1574 (2002). [CrossRef]
  9. B. Sturman, V. Fridkin, and G. Breach, The Photovoltaic and Photorefractive Effects in Noncentrosymmetric materials (Science Publishers, 1992).
  10. P. Günter and J.-P. Huignard, eds., Photorefractive Materials and Their Applications, I, Vol. 61 of Topics in Applied Physics (Springer-Verlag, 1988).
  11. G. Montemezzani and M. Zgonik, "Light diffraction at mixed phase and absorption gratings in anisotropic media for arbitrary geometries," Phys. Rev. E 55, 1035-1047 (1997). [CrossRef]
  12. Y. Fainman, E. Klancnik, and S. H. Lee, "Optimal coherent image amplification by two-wave coupling in photorefractive BaTiO3," Opt. Eng. (Bellingham) 25, 228-234 (1986).
  13. 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]
  14. D. W. Wilson, E. N. Glytisi, N. F. Hartman, and T. K. Gaylord, "Beam diameter threshold for polarization conversion photoinduced by spatially oscillating bulk photovoltaic currents in LiNbO3:Fe," J. Opt. Soc. Am. B 9, 1714-1725 (1992). [CrossRef]
  15. H. Zhou, F. Zhao, and F. T. S. Yu, "Angle-dependent diffraction efficiency in a thick photorefractive hologram," Appl. Opt. 34, 1303-1309 (1995). [CrossRef] [PubMed]
  16. C. Gu, J. Hong, H.-Y. Li, D. Psaltis, and P. Yeh, "Dynamics of grating formation in photovoltaic media," J. Appl. Phys. 69, 1167-1172 (1991). [CrossRef]
  17. Y. Liu, L. Liu, and C. Zhou, "Prescription for optimizing holograms in LiNbO3:Fe:Mn," Opt. Lett. 25, 551-553 (2000). [CrossRef]
  18. O. Momtahan and A. Adibi, "Global optimization of sensitivity and dynamic range for two-center holographic recording," J. Opt. Soc. Am. B 20, 449-461 (2003). [CrossRef]
  19. J. Carnicero, O. Caballero, M. Carrascosa, and J. M. Cabrera, "Superlinear photovoltaic currents in LiNbO3: analyses under the two-center model," Appl. Phys. B 79, 351-358 (2004). [CrossRef]
  20. V. I. Belinicher and B. I. Sturman, "The photogalvanic effect in media lacking a center of symmetry," Sov. Phys. Usp. 23, 199-223 (1980). [CrossRef]
  21. A. M. Glass, D. Von der Linde, and T. J. Negran, "High-voltage bulk photovoltaic effect and the photorefractive process in LiNbO3," Appl. Phys. Lett. 25, 233-235 (1974). [CrossRef]
  22. N. Kukhtarev, V. Markov, and S. Odoulov, "Transient energy transfer during hologram formation in LiNbO3 in external electric field," Opt. Commun. 23, 338-343 (1977). [CrossRef]
  23. D. A. Temple and C. Warde, "Anisotropic scattering in photorefractive crystals," J. Opt. Soc. Am. B 3, 337-341 (1986). [CrossRef]
  24. S. I. Karabekian and V. V. Obukhovsky, "Nondiagonal component of linear photovoltaic tensor in dopped LiNbO3 and LiTaO3 crystals," YERPHI 1370, 1-10 (1992).

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.


Fig. 1 Fig. 2 Fig. 3
Fig. 4

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited