Abstract

Two different realizations of time-reversal experiments of ultrafast waveforms are carried out in real time by use of four-wave mixing arrangements of spectrally decomposed waves. The first, conventional, method is based on phase conjugation of the waveform’s spectrum and achieves time reversal of real amplitude waveforms. The second arrangement of the spectrally decomposed waves spatially inverts the waveform’s spectrum with respect to the optical axis of the processor and achieves true time reversal for complex-amplitude ultrafast waveforms. We compare and contrast these two real-time techniques.

© 2000 Optical Society of America

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References

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1999

1998

1997

1992

A. M. Weiner, D. E. Leaird, D. H. Reitze, and E. G. Paek, IEEE J. Quantum Electron. 28, 2251 (1992).
[CrossRef]

1991

1989

A. Rebane, J. Aaviksoo, and J. Kuhl, Appl. Phys. Lett. 54, 93 (1989).
[CrossRef]

1986

1983

1980

Aaviksoo, J.

A. Rebane, J. Aaviksoo, and J. Kuhl, Appl. Phys. Lett. 54, 93 (1989).
[CrossRef]

Acioli, L. H.

Adrejco, M. J.

Babbitt, W. R.

Carlson, N. W.

Chase, E. W.

Chen, B. S.

Cronin-Golumb, M.

da Silva, V. L.

Fainman, Y.

Fujimoto, J. G.

Heritage, J. P.

Ippen, E. P.

Kaarli, R.

Kan’an, A. M.

Kong, H.

Kuhl, J.

A. Rebane, J. Aaviksoo, and J. Kuhl, Appl. Phys. Lett. 54, 93 (1989).
[CrossRef]

Leaird, D. E.

A. M. Weiner, D. E. Leaird, D. H. Reitze, and E. G. Paek, IEEE J. Quantum Electron. 28, 2251 (1992).
[CrossRef]

Marom, D. M.

Mazurenko, Y.

Miller, D. A. B.

Mossberg, T. W.

Paek, E. G.

A. M. Weiner, D. E. Leaird, D. H. Reitze, and E. G. Paek, IEEE J. Quantum Electron. 28, 2251 (1992).
[CrossRef]

Panasenko, D.

Rebane, A.

A. Rebane, J. Aaviksoo, and J. Kuhl, Appl. Phys. Lett. 54, 93 (1989).
[CrossRef]

P. Saari, R. Kaarli, and A. Rebane, J. Opt. Soc. Am. B 3, 527 (1986).
[CrossRef]

Reitze, D. H.

A. M. Weiner, D. E. Leaird, D. H. Reitze, and E. G. Paek, IEEE J. Quantum Electron. 28, 2251 (1992).
[CrossRef]

Rothberg, L. J.

Saari, P.

Saifi, M. A.

Silberberg, Y.

Sun, P.-C.

Ulman, M.

Weiner, A. M.

A. M. Kan’an and A. M. Weiner, J. Opt. Soc. Am. B 15, 1242 (1998).
[CrossRef]

A. M. Weiner, D. E. Leaird, D. H. Reitze, and E. G. Paek, IEEE J. Quantum Electron. 28, 2251 (1992).
[CrossRef]

Yodh, A. G.

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Figures (3)

Fig. 1
Fig. 1

Experimental setup for true time reversalof complex amplitude waveforms by four-wave mixing of mutually inverted SDW’s by CSN. PBS’s, polarizing beam splitter.

Fig. 2
Fig. 2

Schematics of (a) the complex amplitude input waveform and of time inversed waveforms by (b) spectral inversion and (c) phase conjugation, illustrating the difference in the two time-reversal techniques. Solid curves, signal magnitude; dashed curves, signal phase.

Fig. 3
Fig. 3

Spatial images and extracted termporal information of ultrafast waveforms in the time-reversal experiments: (a) input waveform; time reversed waveforms by (b) spectral inversion and (c) phase conjugation. Both time-reversal methods interchange the locations of the pulses, but the SI preserves the complex-amplitude information, as determined by the quadratic phase of pulse B. Displacing the image plane closer to [(d) and (e)] or farther from [(f)] the lens compensates for positive or negative quadratic phase, respectively.

Equations (5)

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U 1 x ; t = w - ct α exp j ω 0 x t α f S ω 0 x α f ,
U 2 x ; t = w ct α exp - j ω 0 x t α f R - ω 0 x α f ,
U 3 x ; t = w - ct α exp j ω 0 x t α f R ω 0 x α f ,
U 4 x ; t exp - j ω 0 x t α f S ω 0 x α f R - ω 0 x α f × R * ω 0 x α f ,
U ˆ 4 x ; t exp j ω 0 x t α f S * ω 0 x α f R ω 0 x α f × R ω 0 x α f ,

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