Abstract

We report the fabrication of a π-phase-shifted long-period fiber grating (LPFG) capable of operating as a terahertz-bandwidth second-order temporal differentiator. We demonstrate its operation experimentally by differentiating subpicosecond long optical pulses. A new scheme for achieving high-order photonic temporal differentiation based on LPFG filters is also proposed and demonstrated. In particular, we prepared a LPFG-based first-order differentiator that was frequency and bandwidth matched to the second-order device and demonstrated the cascadability of these devices leading to the implementation of a third-order differentiator. By also employing these devices in reflection, up to the fifth-order differentiation is demonstrated experimentally.

© 2009 Optical Society of America

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References

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  1. R. Slavík, Y. Park, M. Kulishov, R. Morandotti, and J. Azaña, Opt. Express 14, 10699 (2006).
    [CrossRef] [PubMed]
  2. M. Kulishov and J. Azaña, Opt. Express 15, 6152 (2007).
    [CrossRef] [PubMed]
  3. M. A. Preciado, V. García-Muñoz, and M. A. Muriel, Opt. Express 15, 7196 (2007).
    [CrossRef] [PubMed]
  4. M. Kulishov, D. Krčmařík, and R. Slavík, Opt. Lett. 32, 2978 (2007).
    [CrossRef] [PubMed]
  5. N. Q. Ngo, S. F. Yu, S. C. Tjin, and C. H. Kam, Opt. Commun. 230, 115 (2004).
    [CrossRef]
  6. L. M. Rivas, S. Boudreau, Y. Park, R. Slavík, S. LaRochelle, A. Carballar, and J. Azaña, Opt. Lett. 34, 1972 (2009).
    [CrossRef]
  7. Y. Gu, K. S. Chiang, and Y. J. Rao, IEEE Photon. Technol. Lett. 21, 657 (2009).
    [CrossRef]
  8. M. Kulishov and J. Azaña, Opt. Lett. 30, 2700 (2005).
    [CrossRef] [PubMed]

2009 (2)

L. M. Rivas, S. Boudreau, Y. Park, R. Slavík, S. LaRochelle, A. Carballar, and J. Azaña, Opt. Lett. 34, 1972 (2009).
[CrossRef]

Y. Gu, K. S. Chiang, and Y. J. Rao, IEEE Photon. Technol. Lett. 21, 657 (2009).
[CrossRef]

2007 (3)

2006 (1)

2005 (1)

2004 (1)

N. Q. Ngo, S. F. Yu, S. C. Tjin, and C. H. Kam, Opt. Commun. 230, 115 (2004).
[CrossRef]

Azaña, J.

Boudreau, S.

L. M. Rivas, S. Boudreau, Y. Park, R. Slavík, S. LaRochelle, A. Carballar, and J. Azaña, Opt. Lett. 34, 1972 (2009).
[CrossRef]

Carballar, A.

L. M. Rivas, S. Boudreau, Y. Park, R. Slavík, S. LaRochelle, A. Carballar, and J. Azaña, Opt. Lett. 34, 1972 (2009).
[CrossRef]

Chiang, K. S.

Y. Gu, K. S. Chiang, and Y. J. Rao, IEEE Photon. Technol. Lett. 21, 657 (2009).
[CrossRef]

García-Muñoz, V.

Gu, Y.

Y. Gu, K. S. Chiang, and Y. J. Rao, IEEE Photon. Technol. Lett. 21, 657 (2009).
[CrossRef]

Kam, C. H.

N. Q. Ngo, S. F. Yu, S. C. Tjin, and C. H. Kam, Opt. Commun. 230, 115 (2004).
[CrossRef]

Krcmarík, D.

Kulishov, M.

LaRochelle, S.

L. M. Rivas, S. Boudreau, Y. Park, R. Slavík, S. LaRochelle, A. Carballar, and J. Azaña, Opt. Lett. 34, 1972 (2009).
[CrossRef]

Morandotti, R.

Muriel, M. A.

Ngo, N. Q.

N. Q. Ngo, S. F. Yu, S. C. Tjin, and C. H. Kam, Opt. Commun. 230, 115 (2004).
[CrossRef]

Park, Y.

L. M. Rivas, S. Boudreau, Y. Park, R. Slavík, S. LaRochelle, A. Carballar, and J. Azaña, Opt. Lett. 34, 1972 (2009).
[CrossRef]

R. Slavík, Y. Park, M. Kulishov, R. Morandotti, and J. Azaña, Opt. Express 14, 10699 (2006).
[CrossRef] [PubMed]

Preciado, M. A.

Rao, Y. J.

Y. Gu, K. S. Chiang, and Y. J. Rao, IEEE Photon. Technol. Lett. 21, 657 (2009).
[CrossRef]

Rivas, L. M.

L. M. Rivas, S. Boudreau, Y. Park, R. Slavík, S. LaRochelle, A. Carballar, and J. Azaña, Opt. Lett. 34, 1972 (2009).
[CrossRef]

Slavík, R.

Tjin, S. C.

N. Q. Ngo, S. F. Yu, S. C. Tjin, and C. H. Kam, Opt. Commun. 230, 115 (2004).
[CrossRef]

Yu, S. F.

N. Q. Ngo, S. F. Yu, S. C. Tjin, and C. H. Kam, Opt. Commun. 230, 115 (2004).
[CrossRef]

IEEE Photon. Technol. Lett. (1)

Y. Gu, K. S. Chiang, and Y. J. Rao, IEEE Photon. Technol. Lett. 21, 657 (2009).
[CrossRef]

Opt. Commun. (1)

N. Q. Ngo, S. F. Yu, S. C. Tjin, and C. H. Kam, Opt. Commun. 230, 115 (2004).
[CrossRef]

Opt. Express (3)

Opt. Lett. (3)

M. Kulishov, D. Krčmařík, and R. Slavík, Opt. Lett. 32, 2978 (2007).
[CrossRef] [PubMed]

L. M. Rivas, S. Boudreau, Y. Park, R. Slavík, S. LaRochelle, A. Carballar, and J. Azaña, Opt. Lett. 34, 1972 (2009).
[CrossRef]

M. Kulishov and J. Azaña, Opt. Lett. 30, 2700 (2005).
[CrossRef] [PubMed]

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Figures (3)

Fig. 1
Fig. 1

Configuration of the first- to fifth-order photonic temporal differentiators using first- and second-order LPFG-based differentiators; PC is polarization controller.

Fig. 2
Fig. 2

Measured field spectral transfer functions (amplitude, black solid curves; phase, dotted and dashed-dotted blue curves) of the fabricated (a) first-, (b) second-, and (c) cascaded ( first + second ) third-order differentiators. The dashed red curves show the field amplitude transfer function of ideal differentiators showing (a) linear, (b) quadratic, and (c) cubic profiles.

Fig. 3
Fig. 3

Measured complex (amplitude, solid black curves; phase, dotted blue curves) temporal field envelopes for the (a) second-, (b) third-, (c) fourth-, and (d) fifth-order differentiated pulses. For comparison, numerically differentiated pulses of Gaussian envelope are shown as dashed red curves.

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