Abstract

The photorefractive holographic dynamics of grating formation in photochromic doubly doped LiNbO3:Fe:Mn crystal is studied numerically and analytically in terms of the two-center model of Kukhtarev et al. [Ferroelectrics 22, 949 (1979)]. The relations among the recorded and fixed space-charge fields and the doping densities, the oxidation-reduction states of the fields, and the intensities of UV-sensitizing and red recording beams are studied. Important conditions and effects are found, and an optimal prescription for material doping and oxidation-reduction processing is suggested in which the crystal can be strongly oxidized and the Mn-doping density is smaller than the Fe-doping density.

© 2000 Optical Society of America

Full Article  |  PDF Article

References

  • View by:
  • |
  • |
  • |

  1. K. Buse, A. Adibi, and D. Psaltis, Nature 393, 665 (1998).
    [CrossRef]
  2. A. Adibi, K. Buse, and D. Psaltis, Opt. Lett. 24, 652 (1999).
    [CrossRef]
  3. L. Liu, B. Liu, X. Yan, L. Shao, G. Li, Y. Yin, J. Li, and Y. Guo, J. Opt. A 1, 220 (1999).
    [CrossRef]
  4. A. Adibi, K. Buse, and D. Psaltis, Appl. Phys. Lett. 74, 3767 (1999).
    [CrossRef]
  5. Y. Liu, L. Liu, C. Zhou, and L. Xu, Acta Opt. Sin. 19, 1437 (1999).
  6. N. V. Kukhtarev, V. B. Markov, S. G. Odulov, M. S. Soskin, and V. L. Vinetskii, Ferroelectrics 22, 949 (1979).
    [CrossRef]
  7. K. Buse, Appl. Phys. B 64, 273 (1997).
    [CrossRef]

1999 (4)

L. Liu, B. Liu, X. Yan, L. Shao, G. Li, Y. Yin, J. Li, and Y. Guo, J. Opt. A 1, 220 (1999).
[CrossRef]

A. Adibi, K. Buse, and D. Psaltis, Appl. Phys. Lett. 74, 3767 (1999).
[CrossRef]

Y. Liu, L. Liu, C. Zhou, and L. Xu, Acta Opt. Sin. 19, 1437 (1999).

A. Adibi, K. Buse, and D. Psaltis, Opt. Lett. 24, 652 (1999).
[CrossRef]

1998 (1)

K. Buse, A. Adibi, and D. Psaltis, Nature 393, 665 (1998).
[CrossRef]

1997 (1)

K. Buse, Appl. Phys. B 64, 273 (1997).
[CrossRef]

1979 (1)

N. V. Kukhtarev, V. B. Markov, S. G. Odulov, M. S. Soskin, and V. L. Vinetskii, Ferroelectrics 22, 949 (1979).
[CrossRef]

Adibi, A.

A. Adibi, K. Buse, and D. Psaltis, Appl. Phys. Lett. 74, 3767 (1999).
[CrossRef]

A. Adibi, K. Buse, and D. Psaltis, Opt. Lett. 24, 652 (1999).
[CrossRef]

K. Buse, A. Adibi, and D. Psaltis, Nature 393, 665 (1998).
[CrossRef]

Buse, K.

A. Adibi, K. Buse, and D. Psaltis, Appl. Phys. Lett. 74, 3767 (1999).
[CrossRef]

A. Adibi, K. Buse, and D. Psaltis, Opt. Lett. 24, 652 (1999).
[CrossRef]

K. Buse, A. Adibi, and D. Psaltis, Nature 393, 665 (1998).
[CrossRef]

K. Buse, Appl. Phys. B 64, 273 (1997).
[CrossRef]

Guo, Y.

L. Liu, B. Liu, X. Yan, L. Shao, G. Li, Y. Yin, J. Li, and Y. Guo, J. Opt. A 1, 220 (1999).
[CrossRef]

Kukhtarev, N. V.

N. V. Kukhtarev, V. B. Markov, S. G. Odulov, M. S. Soskin, and V. L. Vinetskii, Ferroelectrics 22, 949 (1979).
[CrossRef]

Li, G.

L. Liu, B. Liu, X. Yan, L. Shao, G. Li, Y. Yin, J. Li, and Y. Guo, J. Opt. A 1, 220 (1999).
[CrossRef]

Li, J.

L. Liu, B. Liu, X. Yan, L. Shao, G. Li, Y. Yin, J. Li, and Y. Guo, J. Opt. A 1, 220 (1999).
[CrossRef]

Liu, B.

L. Liu, B. Liu, X. Yan, L. Shao, G. Li, Y. Yin, J. Li, and Y. Guo, J. Opt. A 1, 220 (1999).
[CrossRef]

Liu, L.

L. Liu, B. Liu, X. Yan, L. Shao, G. Li, Y. Yin, J. Li, and Y. Guo, J. Opt. A 1, 220 (1999).
[CrossRef]

Y. Liu, L. Liu, C. Zhou, and L. Xu, Acta Opt. Sin. 19, 1437 (1999).

Liu, Y.

Y. Liu, L. Liu, C. Zhou, and L. Xu, Acta Opt. Sin. 19, 1437 (1999).

Markov, V. B.

N. V. Kukhtarev, V. B. Markov, S. G. Odulov, M. S. Soskin, and V. L. Vinetskii, Ferroelectrics 22, 949 (1979).
[CrossRef]

Odulov, S. G.

N. V. Kukhtarev, V. B. Markov, S. G. Odulov, M. S. Soskin, and V. L. Vinetskii, Ferroelectrics 22, 949 (1979).
[CrossRef]

Psaltis, D.

A. Adibi, K. Buse, and D. Psaltis, Appl. Phys. Lett. 74, 3767 (1999).
[CrossRef]

A. Adibi, K. Buse, and D. Psaltis, Opt. Lett. 24, 652 (1999).
[CrossRef]

K. Buse, A. Adibi, and D. Psaltis, Nature 393, 665 (1998).
[CrossRef]

Shao, L.

L. Liu, B. Liu, X. Yan, L. Shao, G. Li, Y. Yin, J. Li, and Y. Guo, J. Opt. A 1, 220 (1999).
[CrossRef]

Soskin, M. S.

N. V. Kukhtarev, V. B. Markov, S. G. Odulov, M. S. Soskin, and V. L. Vinetskii, Ferroelectrics 22, 949 (1979).
[CrossRef]

Vinetskii, V. L.

N. V. Kukhtarev, V. B. Markov, S. G. Odulov, M. S. Soskin, and V. L. Vinetskii, Ferroelectrics 22, 949 (1979).
[CrossRef]

Xu, L.

Y. Liu, L. Liu, C. Zhou, and L. Xu, Acta Opt. Sin. 19, 1437 (1999).

Yan, X.

L. Liu, B. Liu, X. Yan, L. Shao, G. Li, Y. Yin, J. Li, and Y. Guo, J. Opt. A 1, 220 (1999).
[CrossRef]

Yin, Y.

L. Liu, B. Liu, X. Yan, L. Shao, G. Li, Y. Yin, J. Li, and Y. Guo, J. Opt. A 1, 220 (1999).
[CrossRef]

Zhou, C.

Y. Liu, L. Liu, C. Zhou, and L. Xu, Acta Opt. Sin. 19, 1437 (1999).

Acta Opt. Sin. (1)

Y. Liu, L. Liu, C. Zhou, and L. Xu, Acta Opt. Sin. 19, 1437 (1999).

Appl. Phys. B (1)

K. Buse, Appl. Phys. B 64, 273 (1997).
[CrossRef]

Appl. Phys. Lett. (1)

A. Adibi, K. Buse, and D. Psaltis, Appl. Phys. Lett. 74, 3767 (1999).
[CrossRef]

Ferroelectrics (1)

N. V. Kukhtarev, V. B. Markov, S. G. Odulov, M. S. Soskin, and V. L. Vinetskii, Ferroelectrics 22, 949 (1979).
[CrossRef]

J. Opt. A (1)

L. Liu, B. Liu, X. Yan, L. Shao, G. Li, Y. Yin, J. Li, and Y. Guo, J. Opt. A 1, 220 (1999).
[CrossRef]

Nature (1)

K. Buse, A. Adibi, and D. Psaltis, Nature 393, 665 (1998).
[CrossRef]

Opt. Lett. (1)

Cited By

OSA participates in CrossRef's Cited-By Linking service. Citing articles from OSA journals and other participating publishers are listed here.

Alert me when this article is cited.


Figures (4)

Fig. 1
Fig. 1

Typical life history of a hologram in oxidized doubly doped LiNbO3:Fe:Mn crystal.

Fig. 2
Fig. 2

Recorded SCF, E1rt2, versus OR state x for various intensity ratios Ir0/Iu0.

Fig. 3
Fig. 3

Fixed SCF, E1ft3, versus OR state x for various Mn-doped densities Nm.

Fig. 4
Fig. 4

Fixed SCF, E1ft3, versus OR state x for different intensity ratios Ir0/Iu0.

Equations (9)

Equations on this page are rendered with MathJax. Learn more.

dNm0+/dt=Nm-Nm0+g1-γmNe0Nm0+,
dNf0+/dt=Nf-Nf0+g2-γfNe0Nf0+,
Ne0=Nm-Nm0+g1+Nf-Nf0+g2/γmNm0++γfNf0+,
dNm1+/dt=-Nm1+g1-γmNm0+Ne1+Nm1+Ne0,
dNf1+/dt=Nf-Nf0+mSfrIr0-Nf1+g2-γfNf0+Ne1+Nf1+Ne0,
Ne1=Nm1+g1+γmNe0+Nf1+g2+γfNe0-eμNe0Nm1++Nf1+/ϵ-ikSfrIr0κfrhνrmNf-Nf0+-Nf1+/e+ikSfuIu0κfuhνuNf1+/e-mSfrIr0Nf-Nf0+/-γmNm0+-γfNf0+-Dk2+ikμE0,
E1t2=-imBEq2ED-iE0×ED-iEphr+AEphrNfNm0+2/NmNf0+2-ABEphr+CEphuNm0+2/NmNf0++E0ED+Eq1+Eq2-iE0ED-iE0-iED+Eq1-AEq2NfNm0+2/NmNf0+2-iE0BEphr+CEphrNf0+/Nf, Nm0+=12A-1Na-NfA+Nm-Na+Nf-NaA+Nm-Na2+4NaNm+Nf-NaA1/2, Nf0+=12A-1Nf+NaA+Nm-Na-Nf-NaA+Nm-Na2+4NaNm+Nf-NaA1/2,
E1ft3=0  for Nf>Na,
E1ft3=Em1rt2+γmNa-Nf1+ikκfrhνr/eγmNa-Nf+μkBTk2/e-ikγfNfκfrhνr/e×Ef1rt2 for Nf<Na.

Metrics