Abstract

We present the temporal counterpart of a spatial joint-transform correlator. This system optically measures the rf spectrum of a real-time spectral interferogram achieved by stretching a sequence of two time-multiplexed pulses. The optical rf analyzer makes use of the cross-phase modulation on a cw probe in a highly nonlinear fiber. We show that the optical spectrum appearing on the cw signal contains the information of the electric-field cross correlation of the signals under test. This device offers potential applications for all-optical pattern recognition of ultrashort pulses.

© 2009 Optical Society of America

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  1. C. Dorrer and D. N. Maywar, J. Lightwave Technol. 22, 266 (2004).
    [CrossRef]
  2. R. E. Saperstein and Y. Fainman, Appl. Opt. 47, 21 (2008).
    [CrossRef]
  3. M. Pelusi, F. Luan, T. D. Vo, M. R. E. Lamont, S. J. Madden, D. A. Bulla, D.-Y. Choi, B. Luther-Davies, and B. J. Eggleton, Nature Photon. 3, 139 (2009).
    [CrossRef]
  4. A. W. Lohmann and D. Mendlovic, Appl. Opt. 31, 6212 (1992).
    [CrossRef] [PubMed]
  5. N. K. Berger, B. Levit, V. Smulakovsky, and B. Fischer, Appl. Opt. 44, 7862 (2005).
    [CrossRef] [PubMed]
  6. K. Goda, D. R. Solli, and B. Jalali, Appl. Phys. Lett. 93, 031105 (2008).
    [CrossRef]
  7. J. W. Goodman, Introduction to Fourier Optics, 2nd ed. (McGraw-Hill, 1996).
  8. B. Javidi and C.-J. Kuo, Appl. Opt. 27, 663 (1988).
    [CrossRef] [PubMed]
  9. J. Azana, N. K. Berger, B. Levit, and B. Fischer, Opt. Lett. 30, 3228 (2005).
    [CrossRef] [PubMed]
  10. D. F. Geraghty, R. Salem, M. A. Foster, and A. L. Gaeta, IEEE Photonics Technol. Lett. 20, 487 (2008).
    [CrossRef]

2009 (1)

M. Pelusi, F. Luan, T. D. Vo, M. R. E. Lamont, S. J. Madden, D. A. Bulla, D.-Y. Choi, B. Luther-Davies, and B. J. Eggleton, Nature Photon. 3, 139 (2009).
[CrossRef]

2008 (3)

K. Goda, D. R. Solli, and B. Jalali, Appl. Phys. Lett. 93, 031105 (2008).
[CrossRef]

D. F. Geraghty, R. Salem, M. A. Foster, and A. L. Gaeta, IEEE Photonics Technol. Lett. 20, 487 (2008).
[CrossRef]

R. E. Saperstein and Y. Fainman, Appl. Opt. 47, 21 (2008).
[CrossRef]

2005 (2)

2004 (1)

1992 (1)

1988 (1)

Azana, J.

Berger, N. K.

Bulla, D. A.

M. Pelusi, F. Luan, T. D. Vo, M. R. E. Lamont, S. J. Madden, D. A. Bulla, D.-Y. Choi, B. Luther-Davies, and B. J. Eggleton, Nature Photon. 3, 139 (2009).
[CrossRef]

Choi, D.-Y.

M. Pelusi, F. Luan, T. D. Vo, M. R. E. Lamont, S. J. Madden, D. A. Bulla, D.-Y. Choi, B. Luther-Davies, and B. J. Eggleton, Nature Photon. 3, 139 (2009).
[CrossRef]

Dorrer, C.

Eggleton, B. J.

M. Pelusi, F. Luan, T. D. Vo, M. R. E. Lamont, S. J. Madden, D. A. Bulla, D.-Y. Choi, B. Luther-Davies, and B. J. Eggleton, Nature Photon. 3, 139 (2009).
[CrossRef]

Fainman, Y.

R. E. Saperstein and Y. Fainman, Appl. Opt. 47, 21 (2008).
[CrossRef]

Fischer, B.

Foster, M. A.

D. F. Geraghty, R. Salem, M. A. Foster, and A. L. Gaeta, IEEE Photonics Technol. Lett. 20, 487 (2008).
[CrossRef]

Gaeta, A. L.

D. F. Geraghty, R. Salem, M. A. Foster, and A. L. Gaeta, IEEE Photonics Technol. Lett. 20, 487 (2008).
[CrossRef]

Geraghty, D. F.

D. F. Geraghty, R. Salem, M. A. Foster, and A. L. Gaeta, IEEE Photonics Technol. Lett. 20, 487 (2008).
[CrossRef]

Goda, K.

K. Goda, D. R. Solli, and B. Jalali, Appl. Phys. Lett. 93, 031105 (2008).
[CrossRef]

Goodman, J. W.

J. W. Goodman, Introduction to Fourier Optics, 2nd ed. (McGraw-Hill, 1996).

Jalali, B.

K. Goda, D. R. Solli, and B. Jalali, Appl. Phys. Lett. 93, 031105 (2008).
[CrossRef]

Javidi, B.

Kuo, C.-J.

Lamont, M. R. E.

M. Pelusi, F. Luan, T. D. Vo, M. R. E. Lamont, S. J. Madden, D. A. Bulla, D.-Y. Choi, B. Luther-Davies, and B. J. Eggleton, Nature Photon. 3, 139 (2009).
[CrossRef]

Levit, B.

Lohmann, A. W.

Luan, F.

M. Pelusi, F. Luan, T. D. Vo, M. R. E. Lamont, S. J. Madden, D. A. Bulla, D.-Y. Choi, B. Luther-Davies, and B. J. Eggleton, Nature Photon. 3, 139 (2009).
[CrossRef]

Luther-Davies, B.

M. Pelusi, F. Luan, T. D. Vo, M. R. E. Lamont, S. J. Madden, D. A. Bulla, D.-Y. Choi, B. Luther-Davies, and B. J. Eggleton, Nature Photon. 3, 139 (2009).
[CrossRef]

Madden, S. J.

M. Pelusi, F. Luan, T. D. Vo, M. R. E. Lamont, S. J. Madden, D. A. Bulla, D.-Y. Choi, B. Luther-Davies, and B. J. Eggleton, Nature Photon. 3, 139 (2009).
[CrossRef]

Maywar, D. N.

Mendlovic, D.

Pelusi, M.

M. Pelusi, F. Luan, T. D. Vo, M. R. E. Lamont, S. J. Madden, D. A. Bulla, D.-Y. Choi, B. Luther-Davies, and B. J. Eggleton, Nature Photon. 3, 139 (2009).
[CrossRef]

Salem, R.

D. F. Geraghty, R. Salem, M. A. Foster, and A. L. Gaeta, IEEE Photonics Technol. Lett. 20, 487 (2008).
[CrossRef]

Saperstein, R. E.

R. E. Saperstein and Y. Fainman, Appl. Opt. 47, 21 (2008).
[CrossRef]

Smulakovsky, V.

Solli, D. R.

K. Goda, D. R. Solli, and B. Jalali, Appl. Phys. Lett. 93, 031105 (2008).
[CrossRef]

Vo, T. D.

M. Pelusi, F. Luan, T. D. Vo, M. R. E. Lamont, S. J. Madden, D. A. Bulla, D.-Y. Choi, B. Luther-Davies, and B. J. Eggleton, Nature Photon. 3, 139 (2009).
[CrossRef]

Appl. Opt. (4)

Appl. Phys. Lett. (1)

K. Goda, D. R. Solli, and B. Jalali, Appl. Phys. Lett. 93, 031105 (2008).
[CrossRef]

IEEE Photonics Technol. Lett. (1)

D. F. Geraghty, R. Salem, M. A. Foster, and A. L. Gaeta, IEEE Photonics Technol. Lett. 20, 487 (2008).
[CrossRef]

J. Lightwave Technol. (1)

Nature Photon. (1)

M. Pelusi, F. Luan, T. D. Vo, M. R. E. Lamont, S. J. Madden, D. A. Bulla, D.-Y. Choi, B. Luther-Davies, and B. J. Eggleton, Nature Photon. 3, 139 (2009).
[CrossRef]

Opt. Lett. (1)

Other (1)

J. W. Goodman, Introduction to Fourier Optics, 2nd ed. (McGraw-Hill, 1996).

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Figures (3)

Fig. 1
Fig. 1

(a) Scheme for a spatial JTC, (b) time-domain JTC, (c) experimental setup to study autocorrelations.

Fig. 2
Fig. 2

Autocorrelation results showing the peak shifting in the spectrum on the cw probe: (a) time domain input two-pulse sequence with a shifting of T and (b) 2 T ; (c) and (d) numerical simulations for cases (a) and (b), respectively; (e) and (f) experimental optical spectra measured at the output of the HNLF corresponding to (c) and (d), respectively.

Fig. 3
Fig. 3

Cross-correlation results comparing the matched versus the unmatched case: (a) and (b) simulated spectral interferograms and input pulse sequences (insets); (c) and (d) corresponding numerical simulations of the rf spectrum (solid red line) and calculations from the intensity interferogram (dashed line); (e) and (f) experimental optical spectra measured at the output of the HNLF corresponding to (c) and (d) cases, respectively.

Equations (3)

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I ( t ) = | A ( ω ) | 2 + | B ( ω ) | 2 + A * ( ω ) B ( ω ) e i ω T + c.c. ,
| I ̃ ( f ) | 2 | d c ( f ) | 2 + | X ( f + Δ f ) | 2 + | X * ( f Δ f ) | 2 .
Δ f = T ( 2 π Φ 2 ) .

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