Abstract

We present an experimental demonstration of the evolution of localization in frequency of light pulses that are repeatedly kicked by phase modulation and then propagated along equally spaced lengths of fiber with weak dispersion. The experiment was performed with a long fiber recirculating loop that allows us to follow the pulse’s spectral changes after each cycle.

© 2003 Optical Society of America

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References

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  1. B. Fischer, A. Rosen, and S. Fishman, Opt. Lett. 24, 1463 (1999).
    [CrossRef]
  2. P. W. Anderson, Phys. Rev. 109, 1492 (1958).
    [CrossRef]
  3. For reviews see D. J. Thouless, in Critical Phenomena, Random Systems, Gauge Theories, K. Osterwalder and R. Stora, eds., Proceedings of the Les-Houches summer school (North-Holland, Amsterdam, 1986), p. 681.
  4. B. Fischer, B. Vodonos, S. Atkins, and A. Bekker, Opt. Lett. 27, 1061 (2002).
    [CrossRef]
  5. B. Fischer, B. Vodonos, S. Atkins, and A. Bekker, Opt. Lett. 25, 728 (2000).
    [CrossRef]
  6. B. Fischer, A. Rosen, A. Bekker, and S. Fishman, Phys. Rev. E 61, R4694 (2000).
    [CrossRef]
  7. A. Rosen, B. Fischer, A. Bekker, and S. Fishman, J. Opt. Soc. Am. B 17, 1579 (2000).
    [CrossRef]

2002 (1)

2000 (3)

1999 (1)

1958 (1)

P. W. Anderson, Phys. Rev. 109, 1492 (1958).
[CrossRef]

Anderson, P. W.

P. W. Anderson, Phys. Rev. 109, 1492 (1958).
[CrossRef]

Atkins, S.

Bekker, A.

Fischer, B.

Fishman, S.

Rosen, A.

Thouless, D. J.

For reviews see D. J. Thouless, in Critical Phenomena, Random Systems, Gauge Theories, K. Osterwalder and R. Stora, eds., Proceedings of the Les-Houches summer school (North-Holland, Amsterdam, 1986), p. 681.

Vodonos, B.

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

Opt. Lett. (3)

Phys. Rev. (1)

P. W. Anderson, Phys. Rev. 109, 1492 (1958).
[CrossRef]

Phys. Rev. E (1)

B. Fischer, A. Rosen, A. Bekker, and S. Fishman, Phys. Rev. E 61, R4694 (2000).
[CrossRef]

Proceedings of the Les-Houches summer school (1)

For reviews see D. J. Thouless, in Critical Phenomena, Random Systems, Gauge Theories, K. Osterwalder and R. Stora, eds., Proceedings of the Les-Houches summer school (North-Holland, Amsterdam, 1986), p. 681.

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Figures (4)

Fig. 1
Fig. 1

Schematic of experimental system consisting of optical fiber, LiNbO3 phase and amplitude modulators, polarization controllers (PCs), a circulator, a fiber Bragg grating, erbium-doped fiber amplifiers (EDFAs), a tunable-diode laser, and an electro-optic switch.

Fig. 2
Fig. 2

Spectra obtained from (a) the experiment and (b) a numerical simulation for various numbers of kicks N, showing localization in frequency for L=3 km DSF, where f=4.5 GHz and γ0.0048. The axis is the power [dBm] versus wavelength [nm] in all cases.

Fig. 3
Fig. 3

Evolution of localization for L=3 km DSF, where (a) f=4.5 GHz, γ0.0048 and (b) f=7 GHz, γ0.011; *, experimental values; solid curves, numerical simulation.

Fig. 4
Fig. 4

Experimental results for (a) the number of sidebands and (b) the number of kicks for the transition to localization, both as functions of 1/γ; (c) spectral width as a function of modulation amplitude, before localization, for f=4 GHz (γ0.0038). In all cases, L=3 km DSF.

Equations (9)

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iψz*=γ2ψT2+A cos TNδz*-Nψ,
pN=p0-M=1Nκ sin TM,  TN=T0+M=0N-1pM,
pN+1-pN-1=2κ sinTN+pN/2cospN/2.
pNp0-Nκ sin T0-½N2κp0 cos T0,  TNT0+Np0.
Np0π,
Nκp0.
ΔnA/γ.
N2κ1N1/κ1/γ.
2γΔnκBΩκA.

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