Abstract

It is shown that timing jitter owing to the Gordon–Haus (G–H) effect of solitons that are compressed adiabatically in dispersion-decreasing fibers (DDF’s) is approximately determined by total dispersion and initial conditions, which are independent of compression dynamics. As a result the established theory for G–H jitter is still applicable. Timing jitter near the levels predicted by theory is observed in pulses from a regeneratively mode-locked fiber laser compressed in a DDF.

© 1998 Optical Society of America

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References

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1997 (1)

K. Mori, H. Takara, S. Kawanishi, M. Saruwatari, and T. Morioka, Electron. Lett. 33, 1806 (1997).
[CrossRef]

1995 (1)

E. Yamada, E. Yoshida, T. Kitoh, and M. Nakazawa, Electron. Lett. 31, 1342 (1995).
[CrossRef]

1994 (2)

H. Takara, S. Kawanishi, T. Morioka, K. Mori, and M. Saruwatari, Electron. Lett. 30, 1152 (1994).
[CrossRef]

M. Nakazawa, E. Yoshida, K. Kubota, and Y. Kimura, Electron. Lett. 30, 2038 (1994).
[CrossRef]

1992 (3)

D. Marcuse, IEEE J. Lightwave Technol. 10, 273 (1992).
[CrossRef]

A. Mecozzi, J. D. Moores, H. A. Haus, and Y. Lai, J. Opt. Soc. Am. B 9, 1350 (1992).
[CrossRef]

S. V. Chernikov, D. J. Richardson, E. M. Dianov, and D. N. Payne, Electron. Lett. 28, 1842 (1992).
[CrossRef]

1988 (1)

1986 (1)

Blow, K. J.

Chernikov, S. V.

S. V. Chernikov, D. J. Richardson, E. M. Dianov, and D. N. Payne, Electron. Lett. 28, 1842 (1992).
[CrossRef]

Dianov, E. M.

S. V. Chernikov, D. J. Richardson, E. M. Dianov, and D. N. Payne, Electron. Lett. 28, 1842 (1992).
[CrossRef]

Doran, N. J.

Gordon, J. P.

Haus, H. A.

Kawanishi, S.

K. Mori, H. Takara, S. Kawanishi, M. Saruwatari, and T. Morioka, Electron. Lett. 33, 1806 (1997).
[CrossRef]

H. Takara, S. Kawanishi, T. Morioka, K. Mori, and M. Saruwatari, Electron. Lett. 30, 1152 (1994).
[CrossRef]

Kimura, Y.

M. Nakazawa, E. Yoshida, K. Kubota, and Y. Kimura, Electron. Lett. 30, 2038 (1994).
[CrossRef]

Kitoh, T.

E. Yamada, E. Yoshida, T. Kitoh, and M. Nakazawa, Electron. Lett. 31, 1342 (1995).
[CrossRef]

Kubota, K.

M. Nakazawa, E. Yoshida, K. Kubota, and Y. Kimura, Electron. Lett. 30, 2038 (1994).
[CrossRef]

Lai, Y.

Marcuse, D.

D. Marcuse, IEEE J. Lightwave Technol. 10, 273 (1992).
[CrossRef]

Mecozzi, A.

Moores, J. D.

Mori, K.

K. Mori, H. Takara, S. Kawanishi, M. Saruwatari, and T. Morioka, Electron. Lett. 33, 1806 (1997).
[CrossRef]

H. Takara, S. Kawanishi, T. Morioka, K. Mori, and M. Saruwatari, Electron. Lett. 30, 1152 (1994).
[CrossRef]

Morioka, T.

K. Mori, H. Takara, S. Kawanishi, M. Saruwatari, and T. Morioka, Electron. Lett. 33, 1806 (1997).
[CrossRef]

H. Takara, S. Kawanishi, T. Morioka, K. Mori, and M. Saruwatari, Electron. Lett. 30, 1152 (1994).
[CrossRef]

Nakazawa, M.

E. Yamada, E. Yoshida, T. Kitoh, and M. Nakazawa, Electron. Lett. 31, 1342 (1995).
[CrossRef]

M. Nakazawa, E. Yoshida, K. Kubota, and Y. Kimura, Electron. Lett. 30, 2038 (1994).
[CrossRef]

Payne, D. N.

S. V. Chernikov, D. J. Richardson, E. M. Dianov, and D. N. Payne, Electron. Lett. 28, 1842 (1992).
[CrossRef]

Richardson, D. J.

S. V. Chernikov, D. J. Richardson, E. M. Dianov, and D. N. Payne, Electron. Lett. 28, 1842 (1992).
[CrossRef]

Saruwatari, M.

K. Mori, H. Takara, S. Kawanishi, M. Saruwatari, and T. Morioka, Electron. Lett. 33, 1806 (1997).
[CrossRef]

H. Takara, S. Kawanishi, T. Morioka, K. Mori, and M. Saruwatari, Electron. Lett. 30, 1152 (1994).
[CrossRef]

Takara, H.

K. Mori, H. Takara, S. Kawanishi, M. Saruwatari, and T. Morioka, Electron. Lett. 33, 1806 (1997).
[CrossRef]

H. Takara, S. Kawanishi, T. Morioka, K. Mori, and M. Saruwatari, Electron. Lett. 30, 1152 (1994).
[CrossRef]

Wood, D.

Yamada, E.

E. Yamada, E. Yoshida, T. Kitoh, and M. Nakazawa, Electron. Lett. 31, 1342 (1995).
[CrossRef]

Yoshida, E.

E. Yamada, E. Yoshida, T. Kitoh, and M. Nakazawa, Electron. Lett. 31, 1342 (1995).
[CrossRef]

M. Nakazawa, E. Yoshida, K. Kubota, and Y. Kimura, Electron. Lett. 30, 2038 (1994).
[CrossRef]

Electron. Lett. (5)

S. V. Chernikov, D. J. Richardson, E. M. Dianov, and D. N. Payne, Electron. Lett. 28, 1842 (1992).
[CrossRef]

E. Yamada, E. Yoshida, T. Kitoh, and M. Nakazawa, Electron. Lett. 31, 1342 (1995).
[CrossRef]

H. Takara, S. Kawanishi, T. Morioka, K. Mori, and M. Saruwatari, Electron. Lett. 30, 1152 (1994).
[CrossRef]

K. Mori, H. Takara, S. Kawanishi, M. Saruwatari, and T. Morioka, Electron. Lett. 33, 1806 (1997).
[CrossRef]

M. Nakazawa, E. Yoshida, K. Kubota, and Y. Kimura, Electron. Lett. 30, 2038 (1994).
[CrossRef]

IEEE J. Lightwave Technol. (1)

D. Marcuse, IEEE J. Lightwave Technol. 10, 273 (1992).
[CrossRef]

J. Opt. Soc. Am. B (2)

Opt. Lett. (1)

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Figures (4)

Fig. 1
Fig. 1

Numerical calculation results for exponential (circles) and linear (squares) tapers. (a) Mean compression factor Fc. Open shapes, input pulse with A02=1; filled shapes, input pulse with A02 adjusted to give Fc33.1 at output. (b) Standard deviation of jitter δtσ for Fc33.1. (c) Normalized jitter δtσ/DT for Fc33.1. Thick dotted line, level predicted by Eq.  (2); thin dashed line, level observed when jitter in a fiber with constant dispersion is simulated; thin dotted line, level for DDF’s.

Fig. 2
Fig. 2

Experimental configuration. SHG, second-harmonic generation.

Fig. 3
Fig. 3

Jitter measured as a function of launched power. (a) Δτ0 (circles) and Δτ1 (squares). (b) kΔτ1-Δτ0.

Fig. 4
Fig. 4

Jitter as a function of Esp/N0. (a) Compressed pulse spectra. Inset, input pulse spectra. (b) Δτ0, (circles), Δτ1 (squares), and Δτ14 (triangles). (c) kΔτ1-Δτ0. The thick line indicates the jitter level predicted by Eq.  (1), which can be written as δω2=3N0/τTREsp, where TR is the repetition period.

Equations (3)

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δt2=DT2δω2=0Lβzdz2δω2δtσ2,
δω2=6N0πA02τ3=12πτ2N0Es
idadz=12βzd2adt2-γa2a, 0zL.

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