Abstract

We report the self-pumped phase conjugation of an 18°-cut Ce-doped (KyNa1−y)2m(SrxBa1−x)1−m Nb2O6 crystal at a 632.8-nm He–Ne laser wavelength. A maximum phase-conjugation reflectivity of 84.3% has been measured. In addition, its incident angular response and time response are measured.

© 1993 Optical Society of America

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  1. J. Feinberg, Opt. Lett. 7, 486 (1982).
    [Crossref] [PubMed]
  2. J. Feinberg, D. H. Heiman, A. R. Tanguay, R. W. Hellwarth, J. Appl. Phys. 51, 1297 (1980); J. Feinberg, D. H. Heiman, A. R. Tanguay, R. W. Hellwarth, J. Appl. Phys. 52, 537 (1981).
    [Crossref] [PubMed]
  3. J. Ford, Y. Fainman, S. H. Lee, Appl. Opt. 28, 4808 (1989).
    [Crossref] [PubMed]
  4. D. Rytz, S. D. Zhong, Appl. Phys. Lett. 54, 2625 (1989).
    [Crossref]
  5. G. L. Wood, W. W. Clark, M. J. Miller, E. J. Sharp, G. J. Salamo, R. R. Neurgaonkar, IEEE J. Quantum Electron. QE-23, 2126 (1987).
    [Crossref]
  6. X. Yue, Z. Shao, H. Chen, Y. Song, D. Sun, X. Lu, Acta Opt. Sinica 10, 606 (1990).
  7. G. Salamo, M. J. Miller, W. W. Clark, G. L. Wood, E. J. Sharp, Opt. Commun. 59, 417 (1986).
    [Crossref]
  8. J. Rodirquez, A. Siahmakoun, G. Salamo, M. J. Miller, W. W. Clark, G. L. Wood, E. J. Sharp, R. R. Neurgaonkar, Appl. Opt. 26, 1732 (1987).
    [Crossref]
  9. S. R. Montgomery, J. Y. Rice, D. O. Pederson, G. J. Salamo, M. J. Miller, W. W. Clark, G. L. Wood, E. J. Sharp, R. R. Neurgaonkar, J. Opt. Soc. Am. B 5, 1775 (1988).
    [Crossref]
  10. Q. Jiang, Y. Song, D. Sun, X. Lu, H. Chen, J. Zhang, S. Bian, H. Pu, Y. Yuan, Nonlinear Opt. 1, 307 (1991).
  11. C. Medrano, M. Ingold, P. Günter, Opt. Commun. 77, 411 (1990).
    [Crossref]
  12. Q. Jiang, X. Lu, Y. Song, D. Sun, H. Chen, J. Zhang, S. Bian, Y. Yuan, K. Xu, Appl. Opt. 31, 6299 (1992).
    [Crossref] [PubMed]
  13. X. Lu, X. Yue, Y. Song, D. Sun, Q. Jiang, Z. Shao, H. Chen, Acta Opt. Sinica 12, 228 (1992).
  14. X. Yue, X. Lu, Y. Song, Z. Shao, D. Sun, Q. Jinag, H. Chen, Appl. Phys. B 53, 319 (1991).
    [Crossref]
  15. R. A. Fisher, Optical Phase Conjugation (Academic, London, 1983), Chap. 11, p. 423.
  16. M. L. MacDonald, J. Feinberg, J. Opt. Soc. Am. 73, 548 (1983).
    [Crossref]

1992 (2)

Q. Jiang, X. Lu, Y. Song, D. Sun, H. Chen, J. Zhang, S. Bian, Y. Yuan, K. Xu, Appl. Opt. 31, 6299 (1992).
[Crossref] [PubMed]

X. Lu, X. Yue, Y. Song, D. Sun, Q. Jiang, Z. Shao, H. Chen, Acta Opt. Sinica 12, 228 (1992).

1991 (2)

X. Yue, X. Lu, Y. Song, Z. Shao, D. Sun, Q. Jinag, H. Chen, Appl. Phys. B 53, 319 (1991).
[Crossref]

Q. Jiang, Y. Song, D. Sun, X. Lu, H. Chen, J. Zhang, S. Bian, H. Pu, Y. Yuan, Nonlinear Opt. 1, 307 (1991).

1990 (2)

C. Medrano, M. Ingold, P. Günter, Opt. Commun. 77, 411 (1990).
[Crossref]

X. Yue, Z. Shao, H. Chen, Y. Song, D. Sun, X. Lu, Acta Opt. Sinica 10, 606 (1990).

1989 (2)

1988 (1)

1987 (2)

J. Rodirquez, A. Siahmakoun, G. Salamo, M. J. Miller, W. W. Clark, G. L. Wood, E. J. Sharp, R. R. Neurgaonkar, Appl. Opt. 26, 1732 (1987).
[Crossref]

G. L. Wood, W. W. Clark, M. J. Miller, E. J. Sharp, G. J. Salamo, R. R. Neurgaonkar, IEEE J. Quantum Electron. QE-23, 2126 (1987).
[Crossref]

1986 (1)

G. Salamo, M. J. Miller, W. W. Clark, G. L. Wood, E. J. Sharp, Opt. Commun. 59, 417 (1986).
[Crossref]

1983 (1)

1982 (1)

1980 (1)

J. Feinberg, D. H. Heiman, A. R. Tanguay, R. W. Hellwarth, J. Appl. Phys. 51, 1297 (1980); J. Feinberg, D. H. Heiman, A. R. Tanguay, R. W. Hellwarth, J. Appl. Phys. 52, 537 (1981).
[Crossref] [PubMed]

Bian, S.

Q. Jiang, X. Lu, Y. Song, D. Sun, H. Chen, J. Zhang, S. Bian, Y. Yuan, K. Xu, Appl. Opt. 31, 6299 (1992).
[Crossref] [PubMed]

Q. Jiang, Y. Song, D. Sun, X. Lu, H. Chen, J. Zhang, S. Bian, H. Pu, Y. Yuan, Nonlinear Opt. 1, 307 (1991).

Chen, H.

Q. Jiang, X. Lu, Y. Song, D. Sun, H. Chen, J. Zhang, S. Bian, Y. Yuan, K. Xu, Appl. Opt. 31, 6299 (1992).
[Crossref] [PubMed]

X. Lu, X. Yue, Y. Song, D. Sun, Q. Jiang, Z. Shao, H. Chen, Acta Opt. Sinica 12, 228 (1992).

X. Yue, X. Lu, Y. Song, Z. Shao, D. Sun, Q. Jinag, H. Chen, Appl. Phys. B 53, 319 (1991).
[Crossref]

Q. Jiang, Y. Song, D. Sun, X. Lu, H. Chen, J. Zhang, S. Bian, H. Pu, Y. Yuan, Nonlinear Opt. 1, 307 (1991).

X. Yue, Z. Shao, H. Chen, Y. Song, D. Sun, X. Lu, Acta Opt. Sinica 10, 606 (1990).

Clark, W. W.

Fainman, Y.

Feinberg, J.

M. L. MacDonald, J. Feinberg, J. Opt. Soc. Am. 73, 548 (1983).
[Crossref]

J. Feinberg, Opt. Lett. 7, 486 (1982).
[Crossref] [PubMed]

J. Feinberg, D. H. Heiman, A. R. Tanguay, R. W. Hellwarth, J. Appl. Phys. 51, 1297 (1980); J. Feinberg, D. H. Heiman, A. R. Tanguay, R. W. Hellwarth, J. Appl. Phys. 52, 537 (1981).
[Crossref] [PubMed]

Fisher, R. A.

R. A. Fisher, Optical Phase Conjugation (Academic, London, 1983), Chap. 11, p. 423.

Ford, J.

Günter, P.

C. Medrano, M. Ingold, P. Günter, Opt. Commun. 77, 411 (1990).
[Crossref]

Heiman, D. H.

J. Feinberg, D. H. Heiman, A. R. Tanguay, R. W. Hellwarth, J. Appl. Phys. 51, 1297 (1980); J. Feinberg, D. H. Heiman, A. R. Tanguay, R. W. Hellwarth, J. Appl. Phys. 52, 537 (1981).
[Crossref] [PubMed]

Hellwarth, R. W.

J. Feinberg, D. H. Heiman, A. R. Tanguay, R. W. Hellwarth, J. Appl. Phys. 51, 1297 (1980); J. Feinberg, D. H. Heiman, A. R. Tanguay, R. W. Hellwarth, J. Appl. Phys. 52, 537 (1981).
[Crossref] [PubMed]

Ingold, M.

C. Medrano, M. Ingold, P. Günter, Opt. Commun. 77, 411 (1990).
[Crossref]

Jiang, Q.

Q. Jiang, X. Lu, Y. Song, D. Sun, H. Chen, J. Zhang, S. Bian, Y. Yuan, K. Xu, Appl. Opt. 31, 6299 (1992).
[Crossref] [PubMed]

X. Lu, X. Yue, Y. Song, D. Sun, Q. Jiang, Z. Shao, H. Chen, Acta Opt. Sinica 12, 228 (1992).

Q. Jiang, Y. Song, D. Sun, X. Lu, H. Chen, J. Zhang, S. Bian, H. Pu, Y. Yuan, Nonlinear Opt. 1, 307 (1991).

Jinag, Q.

X. Yue, X. Lu, Y. Song, Z. Shao, D. Sun, Q. Jinag, H. Chen, Appl. Phys. B 53, 319 (1991).
[Crossref]

Lee, S. H.

Lu, X.

Q. Jiang, X. Lu, Y. Song, D. Sun, H. Chen, J. Zhang, S. Bian, Y. Yuan, K. Xu, Appl. Opt. 31, 6299 (1992).
[Crossref] [PubMed]

X. Lu, X. Yue, Y. Song, D. Sun, Q. Jiang, Z. Shao, H. Chen, Acta Opt. Sinica 12, 228 (1992).

Q. Jiang, Y. Song, D. Sun, X. Lu, H. Chen, J. Zhang, S. Bian, H. Pu, Y. Yuan, Nonlinear Opt. 1, 307 (1991).

X. Yue, X. Lu, Y. Song, Z. Shao, D. Sun, Q. Jinag, H. Chen, Appl. Phys. B 53, 319 (1991).
[Crossref]

X. Yue, Z. Shao, H. Chen, Y. Song, D. Sun, X. Lu, Acta Opt. Sinica 10, 606 (1990).

MacDonald, M. L.

Medrano, C.

C. Medrano, M. Ingold, P. Günter, Opt. Commun. 77, 411 (1990).
[Crossref]

Miller, M. J.

Montgomery, S. R.

Neurgaonkar, R. R.

Pederson, D. O.

Pu, H.

Q. Jiang, Y. Song, D. Sun, X. Lu, H. Chen, J. Zhang, S. Bian, H. Pu, Y. Yuan, Nonlinear Opt. 1, 307 (1991).

Rice, J. Y.

Rodirquez, J.

Rytz, D.

D. Rytz, S. D. Zhong, Appl. Phys. Lett. 54, 2625 (1989).
[Crossref]

Salamo, G.

Salamo, G. J.

S. R. Montgomery, J. Y. Rice, D. O. Pederson, G. J. Salamo, M. J. Miller, W. W. Clark, G. L. Wood, E. J. Sharp, R. R. Neurgaonkar, J. Opt. Soc. Am. B 5, 1775 (1988).
[Crossref]

G. L. Wood, W. W. Clark, M. J. Miller, E. J. Sharp, G. J. Salamo, R. R. Neurgaonkar, IEEE J. Quantum Electron. QE-23, 2126 (1987).
[Crossref]

Shao, Z.

X. Lu, X. Yue, Y. Song, D. Sun, Q. Jiang, Z. Shao, H. Chen, Acta Opt. Sinica 12, 228 (1992).

X. Yue, X. Lu, Y. Song, Z. Shao, D. Sun, Q. Jinag, H. Chen, Appl. Phys. B 53, 319 (1991).
[Crossref]

X. Yue, Z. Shao, H. Chen, Y. Song, D. Sun, X. Lu, Acta Opt. Sinica 10, 606 (1990).

Sharp, E. J.

Siahmakoun, A.

Song, Y.

Q. Jiang, X. Lu, Y. Song, D. Sun, H. Chen, J. Zhang, S. Bian, Y. Yuan, K. Xu, Appl. Opt. 31, 6299 (1992).
[Crossref] [PubMed]

X. Lu, X. Yue, Y. Song, D. Sun, Q. Jiang, Z. Shao, H. Chen, Acta Opt. Sinica 12, 228 (1992).

Q. Jiang, Y. Song, D. Sun, X. Lu, H. Chen, J. Zhang, S. Bian, H. Pu, Y. Yuan, Nonlinear Opt. 1, 307 (1991).

X. Yue, X. Lu, Y. Song, Z. Shao, D. Sun, Q. Jinag, H. Chen, Appl. Phys. B 53, 319 (1991).
[Crossref]

X. Yue, Z. Shao, H. Chen, Y. Song, D. Sun, X. Lu, Acta Opt. Sinica 10, 606 (1990).

Sun, D.

X. Lu, X. Yue, Y. Song, D. Sun, Q. Jiang, Z. Shao, H. Chen, Acta Opt. Sinica 12, 228 (1992).

Q. Jiang, X. Lu, Y. Song, D. Sun, H. Chen, J. Zhang, S. Bian, Y. Yuan, K. Xu, Appl. Opt. 31, 6299 (1992).
[Crossref] [PubMed]

Q. Jiang, Y. Song, D. Sun, X. Lu, H. Chen, J. Zhang, S. Bian, H. Pu, Y. Yuan, Nonlinear Opt. 1, 307 (1991).

X. Yue, X. Lu, Y. Song, Z. Shao, D. Sun, Q. Jinag, H. Chen, Appl. Phys. B 53, 319 (1991).
[Crossref]

X. Yue, Z. Shao, H. Chen, Y. Song, D. Sun, X. Lu, Acta Opt. Sinica 10, 606 (1990).

Tanguay, A. R.

J. Feinberg, D. H. Heiman, A. R. Tanguay, R. W. Hellwarth, J. Appl. Phys. 51, 1297 (1980); J. Feinberg, D. H. Heiman, A. R. Tanguay, R. W. Hellwarth, J. Appl. Phys. 52, 537 (1981).
[Crossref] [PubMed]

Wood, G. L.

Xu, K.

Yuan, Y.

Q. Jiang, X. Lu, Y. Song, D. Sun, H. Chen, J. Zhang, S. Bian, Y. Yuan, K. Xu, Appl. Opt. 31, 6299 (1992).
[Crossref] [PubMed]

Q. Jiang, Y. Song, D. Sun, X. Lu, H. Chen, J. Zhang, S. Bian, H. Pu, Y. Yuan, Nonlinear Opt. 1, 307 (1991).

Yue, X.

X. Lu, X. Yue, Y. Song, D. Sun, Q. Jiang, Z. Shao, H. Chen, Acta Opt. Sinica 12, 228 (1992).

X. Yue, X. Lu, Y. Song, Z. Shao, D. Sun, Q. Jinag, H. Chen, Appl. Phys. B 53, 319 (1991).
[Crossref]

X. Yue, Z. Shao, H. Chen, Y. Song, D. Sun, X. Lu, Acta Opt. Sinica 10, 606 (1990).

Zhang, J.

Q. Jiang, X. Lu, Y. Song, D. Sun, H. Chen, J. Zhang, S. Bian, Y. Yuan, K. Xu, Appl. Opt. 31, 6299 (1992).
[Crossref] [PubMed]

Q. Jiang, Y. Song, D. Sun, X. Lu, H. Chen, J. Zhang, S. Bian, H. Pu, Y. Yuan, Nonlinear Opt. 1, 307 (1991).

Zhong, S. D.

D. Rytz, S. D. Zhong, Appl. Phys. Lett. 54, 2625 (1989).
[Crossref]

Acta Opt. Sinica (2)

X. Yue, Z. Shao, H. Chen, Y. Song, D. Sun, X. Lu, Acta Opt. Sinica 10, 606 (1990).

X. Lu, X. Yue, Y. Song, D. Sun, Q. Jiang, Z. Shao, H. Chen, Acta Opt. Sinica 12, 228 (1992).

Appl. Opt. (3)

Appl. Phys. B (1)

X. Yue, X. Lu, Y. Song, Z. Shao, D. Sun, Q. Jinag, H. Chen, Appl. Phys. B 53, 319 (1991).
[Crossref]

Appl. Phys. Lett. (1)

D. Rytz, S. D. Zhong, Appl. Phys. Lett. 54, 2625 (1989).
[Crossref]

IEEE J. Quantum Electron. (1)

G. L. Wood, W. W. Clark, M. J. Miller, E. J. Sharp, G. J. Salamo, R. R. Neurgaonkar, IEEE J. Quantum Electron. QE-23, 2126 (1987).
[Crossref]

J. Appl. Phys. (1)

J. Feinberg, D. H. Heiman, A. R. Tanguay, R. W. Hellwarth, J. Appl. Phys. 51, 1297 (1980); J. Feinberg, D. H. Heiman, A. R. Tanguay, R. W. Hellwarth, J. Appl. Phys. 52, 537 (1981).
[Crossref] [PubMed]

J. Opt. Soc. Am. (1)

J. Opt. Soc. Am. B (1)

Nonlinear Opt. (1)

Q. Jiang, Y. Song, D. Sun, X. Lu, H. Chen, J. Zhang, S. Bian, H. Pu, Y. Yuan, Nonlinear Opt. 1, 307 (1991).

Opt. Commun. (2)

C. Medrano, M. Ingold, P. Günter, Opt. Commun. 77, 411 (1990).
[Crossref]

G. Salamo, M. J. Miller, W. W. Clark, G. L. Wood, E. J. Sharp, Opt. Commun. 59, 417 (1986).
[Crossref]

Opt. Lett. (1)

Other (1)

R. A. Fisher, Optical Phase Conjugation (Academic, London, 1983), Chap. 11, p. 423.

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Figures (7)

Fig. 1
Fig. 1

Sketch of the photorefractive crystal showing the angular relationship of beams within the crystal while it is self-pumping.

Fig. 2
Fig. 2

Experiment setup for measuring the SPPC reflectivity and the crystal response time. A, attenuator.

Fig. 3
Fig. 3

SPPC reflectivity versus the incident angle.

Fig. 4
Fig. 4

Plot of the coupling constant γ versus for α2 various values of α1. The curves are based on the following estimated values: N = 2.5 × 1016 cm−3, 11 = 750, 33 = 170, no = 2.30, ne = 2.27, r13 = 50 × 10−12 m/V, r42 = 820 × 10−12 m/V, and r33 = 200 × 10−12 m/V.

Fig. 5
Fig. 5

SPPC reflectivity at different intensities.

Fig. 6
Fig. 6

Response time of the SPPC as a function of input power. The diameter of the beam is 1.8 mm.

Fig. 7
Fig. 7

SPPC reflectivity R versus coupling strength γl. L is the intensity lost by a pump beam as it reflects from one interaction region into the other in the two interaction regions shown in Fig. 1.

Equations (5)

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

γ = ω r eff E 2 n c cos [ ( α 1 - α 2 ) / 2 ] ,
E = k B T q k 1 + ( k / k 0 ) 2 e ^ 1 · e ^ 2 ,
k 0 2 = q 2 N / k B T 0 ,             k = 4 π n λ sin [ ( α 1 - α 2 ) / 2 ] ,
r eff = { n 0 4 r 13 cos α 1 cos α 2 + 2 n 0 2 n e 2 r 42 cos 2 [ ( α 1 + α 2 ) / 2 ] + n e 4 r 33 sin α 1 sin α 2 } sin [ ( α 1 + α 2 ) / 2 ] .
τ = ( μ s ) [ γ R N A 4 π e ( N A - N D ) ] 1 I ,

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