Abstract

We demonstrate a nonlinear Christiansen filter in both the steady state and the transient regimes and in both the self- and the cross-modulation modes. Experiments in which a thermal nonlinearity was used agree well with predictions based on a modified scattering theory model.

© 1996 Optical Society of America

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References

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  1. C. Christiansen, Ann. Phys. Chem. 23, 298 (1884).
  2. Lord Rayleigh, Philos. Mag. 20, 358 (1885).
  3. P. Yeh, Opt. Commun. 35, 9 (1980).
    [CrossRef]
  4. H. J. Gerritsen, Appl. Opt. 25, 2382 (1980).
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  5. K. Balasubramanian, M. R. Jacobson, H. A. Macleod, Appl. Opt. 31, 1574 (1992).
    [CrossRef] [PubMed]
  6. A. A. Manekov, Sov. Phys. Dokl. 15, 155 (1970).
  7. G. B. Al’tshuler, V. V. Ermolaev, K. I. Krylov, A. A. Manekov, A. M. Prokhorov, J. Opt. Soc. Am. B 3, 660 (1986).
    [CrossRef]
  8. B. L. Justus, A. J. Campillo, A. L. Huston, Opt. Lett. 19, 673 (1994).
    [CrossRef] [PubMed]
  9. U. Bernini, L. De Stefano, M. Feo, P. Mormile, P. Russo, Opt. Commun. 112, 169 (1994).
    [CrossRef]
  10. J. A. Fejer, Proc. R. Soc. London Ser. A 220, 455 (1953).
    [CrossRef]
  11. C. M. Sogani, Philos. Mag. 1, 321 (1926).
  12. R. H. Clarke, Appl. Opt. 7, 861 (1992).
    [CrossRef]

1994 (2)

U. Bernini, L. De Stefano, M. Feo, P. Mormile, P. Russo, Opt. Commun. 112, 169 (1994).
[CrossRef]

B. L. Justus, A. J. Campillo, A. L. Huston, Opt. Lett. 19, 673 (1994).
[CrossRef] [PubMed]

1992 (2)

1986 (1)

1980 (2)

1970 (1)

A. A. Manekov, Sov. Phys. Dokl. 15, 155 (1970).

1953 (1)

J. A. Fejer, Proc. R. Soc. London Ser. A 220, 455 (1953).
[CrossRef]

1926 (1)

C. M. Sogani, Philos. Mag. 1, 321 (1926).

1885 (1)

Lord Rayleigh, Philos. Mag. 20, 358 (1885).

1884 (1)

C. Christiansen, Ann. Phys. Chem. 23, 298 (1884).

Al’tshuler, G. B.

Balasubramanian, K.

Bernini, U.

U. Bernini, L. De Stefano, M. Feo, P. Mormile, P. Russo, Opt. Commun. 112, 169 (1994).
[CrossRef]

Campillo, A. J.

Christiansen, C.

C. Christiansen, Ann. Phys. Chem. 23, 298 (1884).

Clarke, R. H.

De Stefano, L.

U. Bernini, L. De Stefano, M. Feo, P. Mormile, P. Russo, Opt. Commun. 112, 169 (1994).
[CrossRef]

Ermolaev, V. V.

Fejer, J. A.

J. A. Fejer, Proc. R. Soc. London Ser. A 220, 455 (1953).
[CrossRef]

Feo, M.

U. Bernini, L. De Stefano, M. Feo, P. Mormile, P. Russo, Opt. Commun. 112, 169 (1994).
[CrossRef]

Gerritsen, H. J.

Huston, A. L.

Jacobson, M. R.

Justus, B. L.

Krylov, K. I.

Macleod, H. A.

Manekov, A. A.

Mormile, P.

U. Bernini, L. De Stefano, M. Feo, P. Mormile, P. Russo, Opt. Commun. 112, 169 (1994).
[CrossRef]

Prokhorov, A. M.

Rayleigh, Lord

Lord Rayleigh, Philos. Mag. 20, 358 (1885).

Russo, P.

U. Bernini, L. De Stefano, M. Feo, P. Mormile, P. Russo, Opt. Commun. 112, 169 (1994).
[CrossRef]

Sogani, C. M.

C. M. Sogani, Philos. Mag. 1, 321 (1926).

Yeh, P.

P. Yeh, Opt. Commun. 35, 9 (1980).
[CrossRef]

Ann. Phys. Chem. (1)

C. Christiansen, Ann. Phys. Chem. 23, 298 (1884).

Appl. Opt. (3)

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

Opt. Commun. (2)

P. Yeh, Opt. Commun. 35, 9 (1980).
[CrossRef]

U. Bernini, L. De Stefano, M. Feo, P. Mormile, P. Russo, Opt. Commun. 112, 169 (1994).
[CrossRef]

Opt. Lett. (1)

Philos. Mag. (2)

C. M. Sogani, Philos. Mag. 1, 321 (1926).

Lord Rayleigh, Philos. Mag. 20, 358 (1885).

Proc. R. Soc. London Ser. A (1)

J. A. Fejer, Proc. R. Soc. London Ser. A 220, 455 (1953).
[CrossRef]

Sov. Phys. Dokl. (1)

A. A. Manekov, Sov. Phys. Dokl. 15, 155 (1970).

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Figures (4)

Fig. 1
Fig. 1

Experimental setup for measuring the beam size: VND, variable neutral-density filter; P, pinhole; BS, beam splitter; L, collecting lens; D, detector measuring power; PS, random phase screen; S, shaker; ND, neutral-density filter; C, CID camera.

Fig. 2
Fig. 2

(i) Transmission and (ii) beam-size data and theoretical fits (solid curves) for wavelengths of (a) 476 nm and (b) 514.5 nm for the CF with peak transmission at 492 nm at room temperature.

Fig. 3
Fig. 3

Cw self-switching for wavelengths of 514.5 nm (solid curve) and 476 nm (dashed curve) for the CF with peak transmission at 498 nm.

Fig. 4
Fig. 4

Transmission cross switching of a cw 632.8-nm beam by pulses of a 532-nm laser beam with (a) CF with peak transmission at 639.2 nm and (b) the liquid component of the CF.

Equations (5)

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g ( θ ) = exp ( - θ 2 / β 2 ) ,
W = 2 [ ω 2 + L 2 2 ( p Δ n ) 2 ] 1 / 2 ,
T = A exp { - K L c α [ Δ n ( λ , Δ t ) λ c ( Δ t ) ] 2 } ,
Δ n ( λ , Δ t ) = ( Δ n / λ ) Δ λ + Δ n ( λ 0 , Δ t ) ,
λ c ( Δ t ) = λ 0 - ( λ / Δ n ) Δ n ( λ 0 , Δ t ) .

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