Abstract

We experimentally demonstrate degenerate, forward four-wave mixing effects in a self-defocusing photorefractive medium, in both one and two transverse dimensions. We observe the nonlinear evolution of new modes as a function of propagation distance, in both the near-field and far-field (Fourier space) regions.

© 2007 Optical Society of America

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2007 (2)

W. Wan, S. Jia, and J. W. Fleischer, Nat. Phys. 3, 46 (2007).
[CrossRef]

N. Korneev and F. Marroquin, J. Opt. Soc. Am. B 24, 84 (2007).
[CrossRef]

2006 (1)

2005 (2)

1999 (1)

1997 (1)

1995 (1)

1994 (2)

1992 (4)

J. Takacs, H. C. Ellin, and L. Solymar, Opt. Commun. 93, 223 (1992).
[CrossRef]

J. M. Hickmann, A. S. L. Gomes, and C. B. Dearaujo, Phys. Rev. Lett. 68, 3547 (1992).
[CrossRef] [PubMed]

A. J. Stentz, M. Kauranen, J. J. Maki, G. P. Agrawal, and R. W. Boyd, Opt. Lett. 17, 19 (1992).
[CrossRef] [PubMed]

O. Werner, B. Fischer, and A. Lewis, Opt. Lett. 17, 241 (1992).
[CrossRef] [PubMed]

1987 (1)

G. P. Agrawal, Phys. Rev. Lett. 59, 880 (1987).
[CrossRef] [PubMed]

1986 (1)

1984 (1)

1983 (1)

V. Kondilenko, S. Odoulov, and M. Soskin, Ferroelectr., Lett. Sect. 1, 19 (1983).
[CrossRef]

1977 (1)

1970 (1)

R. R. Alfano and S. L. Shapiro, Phys. Rev. Lett. 24, 584 (1970).
[CrossRef]

Ablowitz, M. J.

Agrawal, G. P.

Alfano, R. R.

R. R. Alfano and S. L. Shapiro, Phys. Rev. Lett. 24, 584 (1970).
[CrossRef]

Apolinar-Iribe, A.

Bartal, G.

Biondini, G.

Boyd, R. W.

Buljan, H.

Carvalho, M. I.

Chakravarty, S.

Christodoulides, D. N.

Cohen, O.

Cronin-Golomb, M.

Crosignani, B.

Dearaujo, C. B.

J. M. Hickmann, A. S. L. Gomes, and C. B. Dearaujo, Phys. Rev. Lett. 68, 3547 (1992).
[CrossRef] [PubMed]

Diporto, P.

Duree, G.

Efremidis, N. K.

Ellin, H. C.

J. Takacs, H. C. Ellin, and L. Solymar, Opt. Commun. 93, 223 (1992).
[CrossRef]

Fischer, B.

Flach, S.

S. Flach, M. V. Ivanchenko, and O. I. Kanakov, Phys. Rev. Lett. 95, 064102 (2005).
[CrossRef] [PubMed]

Fleischer, J. W.

Freedman, B.

Gomes, A. S. L.

J. M. Hickmann, A. S. L. Gomes, and C. B. Dearaujo, Phys. Rev. Lett. 68, 3547 (1992).
[CrossRef] [PubMed]

Gorbach, A. V.

Hickmann, J. M.

J. M. Hickmann, A. S. L. Gomes, and C. B. Dearaujo, Phys. Rev. Lett. 68, 3547 (1992).
[CrossRef] [PubMed]

Ivanchenko, M. V.

S. Flach, M. V. Ivanchenko, and O. I. Kanakov, Phys. Rev. Lett. 95, 064102 (2005).
[CrossRef] [PubMed]

Jenkins, R. B.

Jia, S.

W. Wan, S. Jia, and J. W. Fleischer, Nat. Phys. 3, 46 (2007).
[CrossRef]

Kanakov, O. I.

S. Flach, M. V. Ivanchenko, and O. I. Kanakov, Phys. Rev. Lett. 95, 064102 (2005).
[CrossRef] [PubMed]

Kauranen, M.

Khyzniak, A.

Kondilenko, V.

Korneev, N.

Kucherov, Y.

Lesnik, S.

Lewis, A.

Maki, J. J.

Manela, O.

Marroquin, F.

Odoulov, S.

Pepper, D. M.

Rentzepis, P. M.

I. V. Tomov and P. M. Rentzepis, Appl. Phys. Lett. 64, 1 (1994).
[CrossRef]

Salamo, G.

Sanchez-Mondragon, J. J.

Sauer, J. R.

Schwartz, T.

Segev, M.

Shapiro, S. L.

R. R. Alfano and S. L. Shapiro, Phys. Rev. Lett. 24, 584 (1970).
[CrossRef]

Sharp, E.

Skryabin, D. V.

Solymar, L.

J. Takacs, H. C. Ellin, and L. Solymar, Opt. Commun. 93, 223 (1992).
[CrossRef]

Soskin, M.

Stentz, A. J.

Takacs, J.

J. Takacs, H. C. Ellin, and L. Solymar, Opt. Commun. 93, 223 (1992).
[CrossRef]

Tomov, I. V.

I. V. Tomov and P. M. Rentzepis, Appl. Phys. Lett. 64, 1 (1994).
[CrossRef]

Wan, W.

W. Wan, S. Jia, and J. W. Fleischer, Nat. Phys. 3, 46 (2007).
[CrossRef]

Werner, O.

White, J. O.

Yariv, A.

Appl. Phys. Lett. (1)

I. V. Tomov and P. M. Rentzepis, Appl. Phys. Lett. 64, 1 (1994).
[CrossRef]

Ferroelectr., Lett. Sect. (1)

V. Kondilenko, S. Odoulov, and M. Soskin, Ferroelectr., Lett. Sect. 1, 19 (1983).
[CrossRef]

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

J. Opt. Soc. Am. B (4)

Nat. Phys. (1)

W. Wan, S. Jia, and J. W. Fleischer, Nat. Phys. 3, 46 (2007).
[CrossRef]

Opt. Commun. (1)

J. Takacs, H. C. Ellin, and L. Solymar, Opt. Commun. 93, 223 (1992).
[CrossRef]

Opt. Express (1)

Opt. Lett. (6)

Phys. Rev. Lett. (4)

R. R. Alfano and S. L. Shapiro, Phys. Rev. Lett. 24, 584 (1970).
[CrossRef]

G. P. Agrawal, Phys. Rev. Lett. 59, 880 (1987).
[CrossRef] [PubMed]

J. M. Hickmann, A. S. L. Gomes, and C. B. Dearaujo, Phys. Rev. Lett. 68, 3547 (1992).
[CrossRef] [PubMed]

S. Flach, M. V. Ivanchenko, and O. I. Kanakov, Phys. Rev. Lett. 95, 064102 (2005).
[CrossRef] [PubMed]

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Figures (4)

Fig. 1
Fig. 1

Experimental setup. Light from a 532 nm laser is split by a polarizing beam splitter and sent to Mach–Zehnder interferometers (A), (B), together with background beam (C) forming the waveguide array on an SBN 75 crystal. The output face of the crystal is imaged into two CCD cameras: one for the near-field (position-space) intensity, the other for the far-field (Fourier space) pattern.

Fig. 2
Fig. 2

Experimental results of symmetric FWM versus propagation distance. Top row: near-field (position-space) intensity; middle row: Fourier picture; bottom row: Fourier cross sections. a–c, Linear input, where the spacing of the lattice is 80 μ m and the intensity ratio of array to background beam is 3:1. c–e, Nonlinear output after 5 mm ; g–i, Nonlinear output after 10 mm .

Fig. 3
Fig. 3

Asymmetric FWM using angled background beam (A) tilted by 0.625 mrad , (B) tilted by 1.6 mrad . Left column: Fourier picture; right column: near-field (position-space) intensity. a, b, e, f, Linear input, where the spacing of the lattice is 80 μ m and the intensity ratio of array to background beam is 3:1; c, d, g, h, Nonlinear output after 10 mm .

Fig. 4
Fig. 4

Two-dimensional degenerate FWM with defocusing nonlinearity. a–d, Experimental results. e–h, Simulation results. Left column: linear input, where the period of the arrays is 80 μ m . Intensity ratio of array to background is 3:1. Right column: nonlinear output. a, b, e, f, Near-field (position-space) intensity. c, d, g, h, Far-field (Fourier) picture.

Equations (1)

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i ψ z + 1 2 k 0 2 ψ + Δ n ( ψ 2 ) ψ = 0 ,

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