Abstract

The effect of the pump waves misalignment on the oscillation spectra and oscillation intensity of a semi linear photorefractive oscillator is studied numerically and compared with the results of the experiment performed with a KNbO3:Fe,Ag crystal.

© 2009 Optical Society of America

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References

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  1. A. Yariv and D. Pepper, Opt. Lett. 1, 16 (1977).
    [CrossRef] [PubMed]
  2. A. Brignon and J.-P. Huignard, Phase Conjugate Laser Optics (Wiley-IEEE, 2004).
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    [CrossRef]
  4. K. Staliunas, M. F. H. Tarroja, G. Slekyus, C. O. Weiss, and L. Dumbly, Phys. Rev. A 51, 4140 (1995).
    [CrossRef] [PubMed]
  5. C. Denz, M. Schwab, M. Sedlatchek, T. Tschudi, and T. Honda, J. Opt. Soc. Am. B 15, 2057 (1998).
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  6. A. Shumelyuk, A. Hryhorashchuk, and S. Odoulov, Phys. Rev. A 72, 023819 (2005).
    [CrossRef]
  7. K. McDonald and J. Feinberg, Phys. Rev. Lett. 55, 821 (1985).
    [CrossRef]
  8. C. Denz, J. Goltz, and T. Tschudi, Opt. Commun. 72, 129 (1989).
    [CrossRef]
  9. P. Mathey, M. Grapinet, H. R. Jauslin, B. Sturman, D. Rytz, and S. Odoulov, Eur. Phys. J. D 39, 445 (2006).
    [CrossRef]
  10. R. Rebhi, P. Mathey, H. R. Jauslin, and S. Odoulov, Opt. Express 15, 17136 (2007).
    [CrossRef] [PubMed]
  11. R. Rebhi, P. Mathey, M. Grapinet, H. R. Jauslin, and S. Odoulov, Appl. Phys. B 91, 583 (2008).
    [CrossRef]
  12. D. R. Evans, G. Cook, J. L. Carns, M. A. Saleh, S. A. Basun, J. M. Seim, and G. J. Mizell, Opt. Lett. 31, 89 (2006).
    [CrossRef] [PubMed]

2008 (1)

R. Rebhi, P. Mathey, M. Grapinet, H. R. Jauslin, and S. Odoulov, Appl. Phys. B 91, 583 (2008).
[CrossRef]

2007 (1)

2006 (2)

P. Mathey, M. Grapinet, H. R. Jauslin, B. Sturman, D. Rytz, and S. Odoulov, Eur. Phys. J. D 39, 445 (2006).
[CrossRef]

D. R. Evans, G. Cook, J. L. Carns, M. A. Saleh, S. A. Basun, J. M. Seim, and G. J. Mizell, Opt. Lett. 31, 89 (2006).
[CrossRef] [PubMed]

2005 (1)

A. Shumelyuk, A. Hryhorashchuk, and S. Odoulov, Phys. Rev. A 72, 023819 (2005).
[CrossRef]

2004 (1)

A. Brignon and J.-P. Huignard, Phase Conjugate Laser Optics (Wiley-IEEE, 2004).

1998 (1)

1995 (1)

K. Staliunas, M. F. H. Tarroja, G. Slekyus, C. O. Weiss, and L. Dumbly, Phys. Rev. A 51, 4140 (1995).
[CrossRef] [PubMed]

1992 (1)

1989 (1)

C. Denz, J. Goltz, and T. Tschudi, Opt. Commun. 72, 129 (1989).
[CrossRef]

1985 (1)

K. McDonald and J. Feinberg, Phys. Rev. Lett. 55, 821 (1985).
[CrossRef]

1977 (1)

Basun, S. A.

Brignon, A.

A. Brignon and J.-P. Huignard, Phase Conjugate Laser Optics (Wiley-IEEE, 2004).

Carns, J. L.

Cook, G.

Denz, C.

Dumbly, L.

K. Staliunas, M. F. H. Tarroja, G. Slekyus, C. O. Weiss, and L. Dumbly, Phys. Rev. A 51, 4140 (1995).
[CrossRef] [PubMed]

Evans, D. R.

Feinberg, J.

K. McDonald and J. Feinberg, Phys. Rev. Lett. 55, 821 (1985).
[CrossRef]

Goltz, J.

C. Denz, J. Goltz, and T. Tschudi, Opt. Commun. 72, 129 (1989).
[CrossRef]

Grapinet, M.

R. Rebhi, P. Mathey, M. Grapinet, H. R. Jauslin, and S. Odoulov, Appl. Phys. B 91, 583 (2008).
[CrossRef]

P. Mathey, M. Grapinet, H. R. Jauslin, B. Sturman, D. Rytz, and S. Odoulov, Eur. Phys. J. D 39, 445 (2006).
[CrossRef]

Honda, T.

Hryhorashchuk, A.

A. Shumelyuk, A. Hryhorashchuk, and S. Odoulov, Phys. Rev. A 72, 023819 (2005).
[CrossRef]

Huignard, J.-P.

A. Brignon and J.-P. Huignard, Phase Conjugate Laser Optics (Wiley-IEEE, 2004).

Indebetouw, G.

Jauslin, H. R.

R. Rebhi, P. Mathey, M. Grapinet, H. R. Jauslin, and S. Odoulov, Appl. Phys. B 91, 583 (2008).
[CrossRef]

R. Rebhi, P. Mathey, H. R. Jauslin, and S. Odoulov, Opt. Express 15, 17136 (2007).
[CrossRef] [PubMed]

P. Mathey, M. Grapinet, H. R. Jauslin, B. Sturman, D. Rytz, and S. Odoulov, Eur. Phys. J. D 39, 445 (2006).
[CrossRef]

Liu, S. R.

Mathey, P.

R. Rebhi, P. Mathey, M. Grapinet, H. R. Jauslin, and S. Odoulov, Appl. Phys. B 91, 583 (2008).
[CrossRef]

R. Rebhi, P. Mathey, H. R. Jauslin, and S. Odoulov, Opt. Express 15, 17136 (2007).
[CrossRef] [PubMed]

P. Mathey, M. Grapinet, H. R. Jauslin, B. Sturman, D. Rytz, and S. Odoulov, Eur. Phys. J. D 39, 445 (2006).
[CrossRef]

McDonald, K.

K. McDonald and J. Feinberg, Phys. Rev. Lett. 55, 821 (1985).
[CrossRef]

Mizell, G. J.

Odoulov, S.

R. Rebhi, P. Mathey, M. Grapinet, H. R. Jauslin, and S. Odoulov, Appl. Phys. B 91, 583 (2008).
[CrossRef]

R. Rebhi, P. Mathey, H. R. Jauslin, and S. Odoulov, Opt. Express 15, 17136 (2007).
[CrossRef] [PubMed]

P. Mathey, M. Grapinet, H. R. Jauslin, B. Sturman, D. Rytz, and S. Odoulov, Eur. Phys. J. D 39, 445 (2006).
[CrossRef]

A. Shumelyuk, A. Hryhorashchuk, and S. Odoulov, Phys. Rev. A 72, 023819 (2005).
[CrossRef]

Pepper, D.

Rebhi, R.

R. Rebhi, P. Mathey, M. Grapinet, H. R. Jauslin, and S. Odoulov, Appl. Phys. B 91, 583 (2008).
[CrossRef]

R. Rebhi, P. Mathey, H. R. Jauslin, and S. Odoulov, Opt. Express 15, 17136 (2007).
[CrossRef] [PubMed]

Rytz, D.

P. Mathey, M. Grapinet, H. R. Jauslin, B. Sturman, D. Rytz, and S. Odoulov, Eur. Phys. J. D 39, 445 (2006).
[CrossRef]

Saleh, M. A.

Schwab, M.

Sedlatchek, M.

Seim, J. M.

Shumelyuk, A.

A. Shumelyuk, A. Hryhorashchuk, and S. Odoulov, Phys. Rev. A 72, 023819 (2005).
[CrossRef]

Slekyus, G.

K. Staliunas, M. F. H. Tarroja, G. Slekyus, C. O. Weiss, and L. Dumbly, Phys. Rev. A 51, 4140 (1995).
[CrossRef] [PubMed]

Staliunas, K.

K. Staliunas, M. F. H. Tarroja, G. Slekyus, C. O. Weiss, and L. Dumbly, Phys. Rev. A 51, 4140 (1995).
[CrossRef] [PubMed]

Sturman, B.

P. Mathey, M. Grapinet, H. R. Jauslin, B. Sturman, D. Rytz, and S. Odoulov, Eur. Phys. J. D 39, 445 (2006).
[CrossRef]

Tarroja, M. F. H.

K. Staliunas, M. F. H. Tarroja, G. Slekyus, C. O. Weiss, and L. Dumbly, Phys. Rev. A 51, 4140 (1995).
[CrossRef] [PubMed]

Tschudi, T.

Weiss, C. O.

K. Staliunas, M. F. H. Tarroja, G. Slekyus, C. O. Weiss, and L. Dumbly, Phys. Rev. A 51, 4140 (1995).
[CrossRef] [PubMed]

Yariv, A.

Appl. Phys. B (1)

R. Rebhi, P. Mathey, M. Grapinet, H. R. Jauslin, and S. Odoulov, Appl. Phys. B 91, 583 (2008).
[CrossRef]

Eur. Phys. J. D (1)

P. Mathey, M. Grapinet, H. R. Jauslin, B. Sturman, D. Rytz, and S. Odoulov, Eur. Phys. J. D 39, 445 (2006).
[CrossRef]

J. Opt. Soc. Am. B (2)

Opt. Commun. (1)

C. Denz, J. Goltz, and T. Tschudi, Opt. Commun. 72, 129 (1989).
[CrossRef]

Opt. Express (1)

Opt. Lett. (2)

Phys. Rev. A (2)

K. Staliunas, M. F. H. Tarroja, G. Slekyus, C. O. Weiss, and L. Dumbly, Phys. Rev. A 51, 4140 (1995).
[CrossRef] [PubMed]

A. Shumelyuk, A. Hryhorashchuk, and S. Odoulov, Phys. Rev. A 72, 023819 (2005).
[CrossRef]

Phys. Rev. Lett. (1)

K. McDonald and J. Feinberg, Phys. Rev. Lett. 55, 821 (1985).
[CrossRef]

Other (1)

A. Brignon and J.-P. Huignard, Phase Conjugate Laser Optics (Wiley-IEEE, 2004).

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Figures (4)

Fig. 1
Fig. 1

Schematic representation of the semilinear oscillator with the waves 1 and 2 pumping the photorefractive crystal (PRC) and oscillation waves 3 and 4. A conventional cavity mirror M c is mounted on a piezoceramic. Det 1, Det 2, Det 3 are the detectors; Ref 1 and Ref 2 are the reference waves for homodyne detection.

Fig. 2
Fig. 2

Contour plots of the oscillation intensity as a function of a frequency shift Ω M τ introduced by the vibrating cavity mirror and a phase mismatch Δ l . All curves are separated by 20% of the maximum intensity between each. The areas with two frequency components in every oscillation wave, 3 and 4, are filled with gray color.

Fig. 3
Fig. 3

Measured dependences of oscillation spectra on frequency shift Ω M introduced by the vibrating cavity mirror. Graphs a and b are plotted for nearly symmetric positive and negative misalignment of the pump waves, Δ l ± 1.5 . The spectra of waves 3 and 4 are shown by gray and black colors, respectively.

Fig. 4
Fig. 4

Measured dependences of oscillation intensity (Det 3 in Fig. 1) on frequency shift Ω M introduced by the vibrating cavity mirror. Graphs a and b are plotted for nearly symmetric positive and negative misalignment of the pump waves, Δ l ± 1.5 . The same experimental conditions as used for Fig. 3.

Equations (6)

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

A 1 z = v * exp ( i Δ z 2 ) A 4 ,
A 2 z = v exp ( i Δ z 2 ) A 3 ,
A 3 z = v * exp ( i Δ z 2 ) A 2 ,
A 4 z = v exp ( i Δ z 2 ) A 1 ,
τ v t + v = γ * I 0 [ A 1 * A 4 exp ( i Δ z 2 ) + A 2 A 3 * exp ( i Δ z 2 ) ] ,
A 4 ( z = l , t ) = R A 3 ( z = l , t ) exp ( i Ω M t ) ,

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