Abstract

A photon echo experiment in Tm3+:YAG is reported that shows, for the first time to the authors’ knowledge, the time-domain equivalent of the transition from near- to far-field diffraction, including Talbot self-imaging effects. The experiment demonstrates the huge dispersion capability of photon echoes and opens the way to further exploration of space–time duality.

© 1999 Optical Society of America

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References

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1999 (1)

1998 (3)

1996 (1)

M. V. Berry and S. Klein, J. Mod. Opt. 43, 2139 (1996).
[CrossRef]

1995 (1)

1994 (3)

M. T. Kauffman, W. C. Banyai, A. A. Godil, and D. M. Bloom, Appl. Phys. Lett. 64, 270 (1994).
[CrossRef]

C. V. Bennett, R. P. Scott, and B. H. Kolner, Appl. Phys. Lett. 65, 2513 (1994).
[CrossRef]

B. H. Kolner, IEEE J. Quantum Electron. 30, 1951 (1994).
[CrossRef]

1993 (2)

A. A. Godil, B. A. Auld, and D. M. Bloom, Appl. Phys. Lett. 62, 1047 (1993).
[CrossRef]

R. M. Macfarlane, Opt. Lett. 18, 1958 (1993).
[CrossRef]

1992 (1)

1982 (1)

1969 (1)

E. B. Treacy, IEEE J. Quantum Electron. 5, 454 (1969).
[CrossRef]

Auld, B. A.

A. A. Godil, B. A. Auld, and D. M. Bloom, Appl. Phys. Lett. 62, 1047 (1993).
[CrossRef]

Babbitt, W. R.

Banyai, W. C.

M. T. Kauffman, W. C. Banyai, A. A. Godil, and D. M. Bloom, Appl. Phys. Lett. 64, 270 (1994).
[CrossRef]

Bennett, C. V.

C. V. Bennett, R. P. Scott, and B. H. Kolner, Appl. Phys. Lett. 65, 2513 (1994).
[CrossRef]

Berry, M. V.

M. V. Berry and S. Klein, J. Mod. Opt. 43, 2139 (1996).
[CrossRef]

Bloom, D. M.

M. T. Kauffman, W. C. Banyai, A. A. Godil, and D. M. Bloom, Appl. Phys. Lett. 64, 270 (1994).
[CrossRef]

A. A. Godil, B. A. Auld, and D. M. Bloom, Appl. Phys. Lett. 62, 1047 (1993).
[CrossRef]

Boggs, B.

Dolfi, D.

L. Ménager, I. Lorgeré, J.-P. Galaup, J.-L. Le Gouët, D. Dolfi, and J.-P. Huignard, presented at the Workshop of Applications of Spectral Hole Burning, Montana State University, Bozeman, Mont., March 8–11, 1998.

Elman, U.

Galaup, J.-P.

M. Tian, F. Grelet, I. Lorgeré, J.-P. Galaup, and J.-L. Le Gouët, J. Opt. Soc. Am. B 16, 74 (1999).
[CrossRef]

L. Ménager, I. Lorgeré, J.-P. Galaup, J.-L. Le Gouët, D. Dolfi, and J.-P. Huignard, presented at the Workshop of Applications of Spectral Hole Burning, Montana State University, Bozeman, Mont., March 8–11, 1998.

Godil, A. A.

M. T. Kauffman, W. C. Banyai, A. A. Godil, and D. M. Bloom, Appl. Phys. Lett. 64, 270 (1994).
[CrossRef]

A. A. Godil, B. A. Auld, and D. M. Bloom, Appl. Phys. Lett. 62, 1047 (1993).
[CrossRef]

Greiner, C.

Grelet, F.

Huignard, J.-P.

L. Ménager, I. Lorgeré, J.-P. Galaup, J.-L. Le Gouët, D. Dolfi, and J.-P. Huignard, presented at the Workshop of Applications of Spectral Hole Burning, Montana State University, Bozeman, Mont., March 8–11, 1998.

Kauffman, M. T.

M. T. Kauffman, W. C. Banyai, A. A. Godil, and D. M. Bloom, Appl. Phys. Lett. 64, 270 (1994).
[CrossRef]

Klein, S.

M. V. Berry and S. Klein, J. Mod. Opt. 43, 2139 (1996).
[CrossRef]

Kolner, B. H.

B. H. Kolner, IEEE J. Quantum Electron. 30, 1951 (1994).
[CrossRef]

C. V. Bennett, R. P. Scott, and B. H. Kolner, Appl. Phys. Lett. 65, 2513 (1994).
[CrossRef]

Kröll, S.

Le Gouët, J.-L.

M. Tian, F. Grelet, I. Lorgeré, J.-P. Galaup, and J.-L. Le Gouët, J. Opt. Soc. Am. B 16, 74 (1999).
[CrossRef]

L. Ménager, I. Lorgeré, J.-P. Galaup, J.-L. Le Gouët, D. Dolfi, and J.-P. Huignard, presented at the Workshop of Applications of Spectral Hole Burning, Montana State University, Bozeman, Mont., March 8–11, 1998.

Lin, H.

Lohmann, A. W.

Lorgeré, I.

M. Tian, F. Grelet, I. Lorgeré, J.-P. Galaup, and J.-L. Le Gouët, J. Opt. Soc. Am. B 16, 74 (1999).
[CrossRef]

L. Ménager, I. Lorgeré, J.-P. Galaup, J.-L. Le Gouët, D. Dolfi, and J.-P. Huignard, presented at the Workshop of Applications of Spectral Hole Burning, Montana State University, Bozeman, Mont., March 8–11, 1998.

Luo, B.

Macfarlane, R. M.

Ménager, L.

L. Ménager, I. Lorgeré, J.-P. Galaup, J.-L. Le Gouët, D. Dolfi, and J.-P. Huignard, presented at the Workshop of Applications of Spectral Hole Burning, Montana State University, Bozeman, Mont., March 8–11, 1998.

Mendlovic, D.

Merkell, K. D.

Mossberg, T. W.

Paschotta, R.

Scott, R. P.

C. V. Bennett, R. P. Scott, and B. H. Kolner, Appl. Phys. Lett. 65, 2513 (1994).
[CrossRef]

Tian, M.

Treacy, E. B.

E. B. Treacy, IEEE J. Quantum Electron. 5, 454 (1969).
[CrossRef]

Tropper, A.

Wang, T.

Appl. Opt. (1)

Appl. Phys. Lett. (3)

A. A. Godil, B. A. Auld, and D. M. Bloom, Appl. Phys. Lett. 62, 1047 (1993).
[CrossRef]

M. T. Kauffman, W. C. Banyai, A. A. Godil, and D. M. Bloom, Appl. Phys. Lett. 64, 270 (1994).
[CrossRef]

C. V. Bennett, R. P. Scott, and B. H. Kolner, Appl. Phys. Lett. 65, 2513 (1994).
[CrossRef]

IEEE J. Quantum Electron. (2)

E. B. Treacy, IEEE J. Quantum Electron. 5, 454 (1969).
[CrossRef]

B. H. Kolner, IEEE J. Quantum Electron. 30, 1951 (1994).
[CrossRef]

J. Mod. Opt. (1)

M. V. Berry and S. Klein, J. Mod. Opt. 43, 2139 (1996).
[CrossRef]

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

Opt. Lett. (6)

Other (1)

L. Ménager, I. Lorgeré, J.-P. Galaup, J.-L. Le Gouët, D. Dolfi, and J.-P. Huignard, presented at the Workshop of Applications of Spectral Hole Burning, Montana State University, Bozeman, Mont., March 8–11, 1998.

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Figures (3)

Fig. 1
Fig. 1

Experimental setup.

Fig. 2
Fig. 2

Theoretical profiles of the square of the (a) autocorrelation function and (b) power spectrum of the input pulse train, assuming square pulses.

Fig. 3
Fig. 3

Temporal shape of photon-echo power for the following chirp-rate values of r: (a) 4.55, (b) 3.1, (c) 2, (d) 1.1 MHz/µs. Continuous curves, experimental records; dotted curves, simulations. Experimental traces correspond to averages over (a) 4 shots and (b), (c), (d) 64 shots.

Equations (2)

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Eet=E1*-tE2tE3t,
Eet=E2t exp iπrt-t2dt.

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