Abstract

A nonlinear optical processor that is capable of true real-time conversion of spatial-domain images to ultrafast time-domain optical waveforms is presented. The method is based on four-wave mixing between the optical waves of spectrally decomposed ultrashort pulses and spatially Fourier-transformed quasi-monochromatic images. To achieve efficient wave mixing at a femtosecond rate we utilize a cascaded second-order nonlinearity arrangement in a β-barium borate crystal with type  II phase matching. We use this ultrafast technique to experimentally generate several complex-amplitude temporal waveforms, with efficiency as high as 10%, by virtue of the cascaded nonlinearity arrangement.

© 1999 Optical Society of America

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1997 (4)

1995 (2)

1993 (1)

A. Patrovi, A. M. Glass, D. H. Olsen, G. J. Zydzik, H. M. O’Bryan, T. H. Chiu, and W. H. Knox, Appl. Phys. Lett. 62, 464 (1993).
[CrossRef]

1992 (2)

1988 (1)

1982 (1)

G. R. Meredith, J. Chem. Phys. 77, 5863 (1982).
[CrossRef]

Brubaker, R. M.

Chang, W. S. C.

Chiu, T. H.

A. Patrovi, A. M. Glass, D. H. Olsen, G. J. Zydzik, H. M. O’Bryan, T. H. Chiu, and W. H. Knox, Appl. Phys. Lett. 62, 464 (1993).
[CrossRef]

DeLong, K. W.

Ding, Y.

Ding, Y. J.

Ema, K.

K. Ema, Jpn. J. Appl. Phys. 30, L2046 (1992).
[CrossRef]

Emplit, P.

Fainman, Y.

Fittinghoff, D. N.

Glass, A. M.

A. Patrovi, A. M. Glass, D. H. Olsen, G. J. Zydzik, H. M. O’Bryan, T. H. Chiu, and W. H. Knox, Appl. Phys. Lett. 62, 464 (1993).
[CrossRef]

Hamaide, J.-P.

Heritage, J. P.

Khurgin, J. B.

Kirschner, E. M.

Knox, W. H.

A. Patrovi, A. M. Glass, D. H. Olsen, G. J. Zydzik, H. M. O’Bryan, T. H. Chiu, and W. H. Knox, Appl. Phys. Lett. 62, 464 (1993).
[CrossRef]

Krumbügel, M. A.

Leaird, D. E.

D. E. Leaird and A. M. Weiner, in Conference on Lasers and Electro-Optics, Vol.??6 of 1998 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1998), p. 99.

Lee, S. J.

Mazurenko, Y.

Mazurenko, Y. T.

Melloch, M. R.

Meredith, G. R.

G. R. Meredith, J. Chem. Phys. 77, 5863 (1982).
[CrossRef]

Morrison, R. L.

Nolte, D. D.

Nuss, M. C.

O’Bryan, H. M.

A. Patrovi, A. M. Glass, D. H. Olsen, G. J. Zydzik, H. M. O’Bryan, T. H. Chiu, and W. H. Knox, Appl. Phys. Lett. 62, 464 (1993).
[CrossRef]

Obeidat, A.

Olsen, D. H.

A. Patrovi, A. M. Glass, D. H. Olsen, G. J. Zydzik, H. M. O’Bryan, T. H. Chiu, and W. H. Knox, Appl. Phys. Lett. 62, 464 (1993).
[CrossRef]

Patrovi, A.

A. Patrovi, A. M. Glass, D. H. Olsen, G. J. Zydzik, H. M. O’Bryan, T. H. Chiu, and W. H. Knox, Appl. Phys. Lett. 62, 464 (1993).
[CrossRef]

Reynaud, F.

Sun, P. C.

Sweetser, J. N.

Trebino, R.

Weiner, A. M.

Y. Ding, R. M. Brubaker, D. D. Nolte, M. R. Melloch, and A. M. Weiner, Opt. Lett. 22, 718 (1997).
[CrossRef] [PubMed]

A. M. Weiner, J. P. Heritage, and E. M. Kirschner, J. Opt. Soc. Am. B 5, 1563 (1988).
[CrossRef]

D. E. Leaird and A. M. Weiner, in Conference on Lasers and Electro-Optics, Vol.??6 of 1998 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1998), p. 99.

Yu, P. K. L.

Zydzik, G. J.

A. Patrovi, A. M. Glass, D. H. Olsen, G. J. Zydzik, H. M. O’Bryan, T. H. Chiu, and W. H. Knox, Appl. Phys. Lett. 62, 464 (1993).
[CrossRef]

Appl. Phys. Lett. (1)

A. Patrovi, A. M. Glass, D. H. Olsen, G. J. Zydzik, H. M. O’Bryan, T. H. Chiu, and W. H. Knox, Appl. Phys. Lett. 62, 464 (1993).
[CrossRef]

J. Chem. Phys. (1)

G. R. Meredith, J. Chem. Phys. 77, 5863 (1982).
[CrossRef]

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

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

Jpn. J. Appl. Phys. (1)

K. Ema, Jpn. J. Appl. Phys. 30, L2046 (1992).
[CrossRef]

Opt. Lett. (5)

Other (1)

D. E. Leaird and A. M. Weiner, in Conference on Lasers and Electro-Optics, Vol.??6 of 1998 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1998), p. 99.

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Figures (3)

Fig. 1
Fig. 1

Experimental setup of the spatial–temporal processor: The CSN results in information exchange in a four-wave-mixing process equivalent. PBS’s, polarizing beam splitters.

Fig. 2
Fig. 2

Synthesized temporal waveform generated by a spatial-information mask consisting of a sequence of equally spaced point sources. (a) All points are illuminated by quasi-monochromatic light. (b) Two point sources are blocked.

Fig. 3
Fig. 3

Synthesized temporal waveforms generated by a quadratic wave front in the spatial channel, generating chirped pulses. The quadratic wave front is generated by longitudinal translation of a point source from the input plane.

Equations (4)

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U1x;t=cαλ0fw-ctαp˜ω0x2παfexp-jω0txαf,
U2x;t=1λ0fm˜ω0x2πcf.
U4x;tw-ctαp˜ω0x2παfm˜ω0x2πcf×exp-jω0txαfexp-jω0t.
yt=mcαtpt.

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