Abstract

We report femtosecond optical signal processing by using second-order spectral holography. Enhanced second-order diffraction from a thermoplastic plate makes possible new signal-processing operations not possible with first-order holography. Experiments resulting in output waveforms equal to the autoconvolution function of the input waveform are described, and the possibility of implementing a simple associative memory for ultrafast optical signals is discussed.

© 1994 Optical Society of America

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References

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1993 (1)

1992 (2)

1991 (5)

1988 (2)

1987 (1)

M. L. Roblin, F. Gires, R. Grousson, P. Lavallard, Opt. Commun. 62, 209 (1987).
[CrossRef]

1985 (1)

1969 (1)

D. Gabor, IBM J. Res. Dev. 13, 156 (1969).
[CrossRef]

1963 (1)

Acioli, L. H.

Chen, B. S.

Chen, H.

Chen, Y.

Cronin-Golomb, M.

da Silva, V. L.

Dilworth, D.

Ema, K.

K. Ema, Jpn. J. Appl. Phys. 30, L2046 (1991).
[CrossRef]

Fork, R. L.

Fujimoto, J. G.

Gabor, D.

D. Gabor, IBM J. Res. Dev. 13, 156 (1969).
[CrossRef]

Gires, F.

M. L. Roblin, F. Gires, R. Grousson, P. Lavallard, Opt. Commun. 62, 209 (1987).
[CrossRef]

Gordon, J. P.

Grousson, R.

M. L. Roblin, F. Gires, R. Grousson, P. Lavallard, Opt. Commun. 62, 209 (1987).
[CrossRef]

Heritage, J. P.

Ippen, E. P.

Jung, E. C.

E. G. Paek, E. C. Jung, Opt. Lett. 16, 1034 (1991).
[CrossRef] [PubMed]

E. G. Paek, E. C. Jung, Y. Silberberg, T. S. Ravi, Appl. Phys. Lett. 59, 1019 (1991).
[CrossRef]

Kirschner, E. M.

Kong, H.

Lavallard, P.

M. L. Roblin, F. Gires, R. Grousson, P. Lavallard, Opt. Commun. 62, 209 (1987).
[CrossRef]

Leaird, D. E.

Leith, E.

Lopez, J.

Mazurenko, Y.

Y. Mazurenko, Opt. Eng. 31, 739 (1992).
[CrossRef]

Paek, E. G.

Ravi, T. S.

E. G. Paek, E. C. Jung, Y. Silberberg, T. S. Ravi, Appl. Phys. Lett. 59, 1019 (1991).
[CrossRef]

Reitze, D. H.

Roblin, M. L.

M. L. Roblin, F. Gires, R. Grousson, P. Lavallard, Opt. Commun. 62, 209 (1987).
[CrossRef]

Salehi, J. A.

Silberberg, Y.

V. L. da Silva, Y. Silberberg, J. P. Heritage, Opt. Lett. 18, 580 (1993).
[CrossRef] [PubMed]

E. G. Paek, E. C. Jung, Y. Silberberg, T. S. Ravi, Appl. Phys. Lett. 59, 1019 (1991).
[CrossRef]

Smith, S. D.

S. D. Smith, Holographic Recording Materials (Springer-Verlag, New York, 1977).
[CrossRef]

Ulman, M.

Valdmanis, J.

Valdmanis, J. A.

van Heerden, P. J.

Weiner, A. M.

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Figures (3)

Fig. 1
Fig. 1

Apparatus for femtosecond spectral holography: (a) setup for recording the spectral hologram, (b) setup for reading out the spectral hologram.

Fig. 2
Fig. 2

Cross-correlation measurements of (a) input signal pulses delayed by 0 (A), 0.5 (B), and 1.0 ps (C), respectively, and (b) output pulses resulting from second-order diffraction from the corresponding spectral hologram.

Fig. 3
Fig. 3

Computer simulations of a simple ghost-image associative memory, (a) Recorded signal es(t), (b) reconstructed output when et(t) = es(t), (c) test waveform with one missing pulse, (d) reconstructed output for test waveform with one missing pulse. For the reconstructed outputs [(b), (d)], the time axis is inverted to facilitate comparison between the two plots.

Equations (2)

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E out ( 2 ) ( ω ) E t ( ω ) [ E r * ( ω ) E s ( ω ) ] 2 exp ( i K 3 r ) + E t ( ω ) [ E r ( ω ) E s * ( ω ) ] 2 exp ( i K 4 r ) .
E out ( 2 ) ( ω ) [ E t ( ω ) E s * ( ω ) ] E s * ( ω ) , e out ( 2 ) ( t ) [ e t ( t ) e s ( t ) ] * e s ( t ) .

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