Abstract

A new self-consistency condition in pulsed lasers with strong intracavity dispersion imposes dispersion modes with specific cavity-length dependent pulse rates, utilizing pulse-train self-imaging properties of a temporal Talbot effect. We give an experimental demonstration of such a laser operation, using a long fiber cavity. We also demonstrate temporal Talbot imaging of a train of short pulses that propagate along large distances of dispersive fibers.

© 2000 Optical Society of America

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References

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  1. L. Liu, Appl. Opt. 28, 4668 (1989); 49, 833 (1982).
    [CrossRef] [PubMed]
  2. G. P. Agrawal, Nonlinear Fiber Optics, 2nd ed. (Academic, San Diego, Calif., 1995).
  3. B. Fischer, A. Rosen, and S. Fishman, Opt. Lett. 21, 1463 (1999).
    [CrossRef]
  4. B. Fischer, A. Rosen, A. Bekker, and S. Fishman, “Experimental observation of localization in the spatial frequency domain of a kicked optical system,” Phys. Rev. E (to be published) ; A. Rosen, B. Fischer, A. Bekker, and S. Fishman, “Optical kicked system exhibiting localization in the spatial frequency domain,” J. Opt. Soc. Am. B (to be published).

1999

1989

Agrawal, G. P.

G. P. Agrawal, Nonlinear Fiber Optics, 2nd ed. (Academic, San Diego, Calif., 1995).

Bekker, A.

B. Fischer, A. Rosen, A. Bekker, and S. Fishman, “Experimental observation of localization in the spatial frequency domain of a kicked optical system,” Phys. Rev. E (to be published) ; A. Rosen, B. Fischer, A. Bekker, and S. Fishman, “Optical kicked system exhibiting localization in the spatial frequency domain,” J. Opt. Soc. Am. B (to be published).

B. Fischer, A. Rosen, A. Bekker, and S. Fishman, “Experimental observation of localization in the spatial frequency domain of a kicked optical system,” Phys. Rev. E (to be published) ; A. Rosen, B. Fischer, A. Bekker, and S. Fishman, “Optical kicked system exhibiting localization in the spatial frequency domain,” J. Opt. Soc. Am. B (to be published).

Fischer, B.

B. Fischer, A. Rosen, and S. Fishman, Opt. Lett. 21, 1463 (1999).
[CrossRef]

B. Fischer, A. Rosen, A. Bekker, and S. Fishman, “Experimental observation of localization in the spatial frequency domain of a kicked optical system,” Phys. Rev. E (to be published) ; A. Rosen, B. Fischer, A. Bekker, and S. Fishman, “Optical kicked system exhibiting localization in the spatial frequency domain,” J. Opt. Soc. Am. B (to be published).

B. Fischer, A. Rosen, A. Bekker, and S. Fishman, “Experimental observation of localization in the spatial frequency domain of a kicked optical system,” Phys. Rev. E (to be published) ; A. Rosen, B. Fischer, A. Bekker, and S. Fishman, “Optical kicked system exhibiting localization in the spatial frequency domain,” J. Opt. Soc. Am. B (to be published).

Fishman, S.

B. Fischer, A. Rosen, and S. Fishman, Opt. Lett. 21, 1463 (1999).
[CrossRef]

B. Fischer, A. Rosen, A. Bekker, and S. Fishman, “Experimental observation of localization in the spatial frequency domain of a kicked optical system,” Phys. Rev. E (to be published) ; A. Rosen, B. Fischer, A. Bekker, and S. Fishman, “Optical kicked system exhibiting localization in the spatial frequency domain,” J. Opt. Soc. Am. B (to be published).

B. Fischer, A. Rosen, A. Bekker, and S. Fishman, “Experimental observation of localization in the spatial frequency domain of a kicked optical system,” Phys. Rev. E (to be published) ; A. Rosen, B. Fischer, A. Bekker, and S. Fishman, “Optical kicked system exhibiting localization in the spatial frequency domain,” J. Opt. Soc. Am. B (to be published).

Liu, L.

Rosen, A.

B. Fischer, A. Rosen, and S. Fishman, Opt. Lett. 21, 1463 (1999).
[CrossRef]

B. Fischer, A. Rosen, A. Bekker, and S. Fishman, “Experimental observation of localization in the spatial frequency domain of a kicked optical system,” Phys. Rev. E (to be published) ; A. Rosen, B. Fischer, A. Bekker, and S. Fishman, “Optical kicked system exhibiting localization in the spatial frequency domain,” J. Opt. Soc. Am. B (to be published).

B. Fischer, A. Rosen, A. Bekker, and S. Fishman, “Experimental observation of localization in the spatial frequency domain of a kicked optical system,” Phys. Rev. E (to be published) ; A. Rosen, B. Fischer, A. Bekker, and S. Fishman, “Optical kicked system exhibiting localization in the spatial frequency domain,” J. Opt. Soc. Am. B (to be published).

Appl. Opt.

Opt. Lett.

Phys. Rev. E

B. Fischer, A. Rosen, A. Bekker, and S. Fishman, “Experimental observation of localization in the spatial frequency domain of a kicked optical system,” Phys. Rev. E (to be published) ; A. Rosen, B. Fischer, A. Bekker, and S. Fishman, “Optical kicked system exhibiting localization in the spatial frequency domain,” J. Opt. Soc. Am. B (to be published).

Other

G. P. Agrawal, Nonlinear Fiber Optics, 2nd ed. (Academic, San Diego, Calif., 1995).

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Figures (6)

Fig. 1
Fig. 1

Talbot imaging of a pulse train in a dispersive fiber, showing the original pulse train and its reproduction at half the Talbot distance, with L=zT/2=50 km, corresponding to β2=-20.7 ps2/km and Ω=12.4 GHz. The amplitudes of the signals are normalized, and for clarity the zero level is shifted and marked by dotted–dashed lines. The ripple following each pulse is probably an artifact that is due to the detector.

Fig. 2
Fig. 2

Experimental configurations of the pulsed lasers, consisting of a fiber ring cavity with an erbium-doped fiber amplifier (EDFA) and a LiNbO3 amplitude modulator. PC, polarization controller.

Fig. 3
Fig. 3

Output spectrum and signal from the laser with β2=132 ps2/km, L=5.1 km: operation (a) and (b) at the first D-mode resonance f=15.4 GHz and (c) and (d) out of resonance f=12.0 GHz. The same scale is used for (a) and (c).

Fig. 4
Fig. 4

Same as in Fig. 3 but for a different bias condition, modulation frequency, and lasing wavelength: operation near resonance, with f=14.8 GHz, and out of resonance, with f=13.8 GHz. Temporal autocorrelation of pulses obtained by use of second-harmonic generation is shown in the inset of (a).

Fig. 5
Fig. 5

Output spectrum and signal from the laser with β2=-19.4 ps2/km, L=50 km: operation (a) and (b) at the first D-mode resonance f=12.8 GHz and (c) and (d) out of resonance f=13.8 GHz. The same scale is used for (a) and (c).

Fig. 6
Fig. 6

Same as in Fig. 5 but for different bias conditions: operation near resonance, with f=12.8 GHz, and out of resonance, with f=10.0 GHz.

Equations (6)

Equations on this page are rendered with MathJax. Learn more.

iψz=β222ψτ2.
ψτ,z=0=nan expinΩτ.
ψτ,z=nan expinΩτexpiγn2/2.
ψτ,z=mzT=ψτ,z=0,
ψτ,z=2m+1zT/2=ψτ+π/Ω,z=0,
Ωm2=2πm/β2L.

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