Abstract

We present a closed-form expression for computation of the output pulse’s rms time width in an optical fiber link with up to fourth-order dispersion (FOD) by use of an optical source with arbitrary linewidth and chirp parameters. We then specialize the expression to analyze the effect of FOD on the transmission of very high-speed linear optical time-division multiplexing systems. By suitable source chirping, FOD can be compensated for to an upper link-length limit above which other techniques must be employed. Finally, a design formula to estimate the maximum attainable bit rate limited by FOD as a function of the link length is also presented.

© 2002 Optical Society of America

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References

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  1. M. Nakazawa, T. Yamamoto, and K. R. Tamura, postdeadline paper presented at the European Conference on Optical Communications, Munich, Germany, September 3–7, 2000.
  2. G. P. Agrawal, Fiber-Optic Communication Systems, 2nd ed. (Wiley, New York, 1998).
  3. D. Marcuse, Appl. Opt. 20, 3573 (1981).
    [CrossRef] [PubMed]
  4. M. D. Pelusi, Y. Matsui, and A. Suzuki, Opt. Lett. 25, 296 (2000).
    [CrossRef]
  5. T. Yamamoto and M. Nakazawa, Opt. Lett. 26, 647 (2001).
    [CrossRef]

2001

2000

1981

Agrawal, G. P.

G. P. Agrawal, Fiber-Optic Communication Systems, 2nd ed. (Wiley, New York, 1998).

Marcuse, D.

Matsui, Y.

Nakazawa, M.

T. Yamamoto and M. Nakazawa, Opt. Lett. 26, 647 (2001).
[CrossRef]

M. Nakazawa, T. Yamamoto, and K. R. Tamura, postdeadline paper presented at the European Conference on Optical Communications, Munich, Germany, September 3–7, 2000.

Pelusi, M. D.

Suzuki, A.

Tamura, K. R.

M. Nakazawa, T. Yamamoto, and K. R. Tamura, postdeadline paper presented at the European Conference on Optical Communications, Munich, Germany, September 3–7, 2000.

Yamamoto, T.

T. Yamamoto and M. Nakazawa, Opt. Lett. 26, 647 (2001).
[CrossRef]

M. Nakazawa, T. Yamamoto, and K. R. Tamura, postdeadline paper presented at the European Conference on Optical Communications, Munich, Germany, September 3–7, 2000.

Appl. Opt.

Opt. Lett.

Other

M. Nakazawa, T. Yamamoto, and K. R. Tamura, postdeadline paper presented at the European Conference on Optical Communications, Munich, Germany, September 3–7, 2000.

G. P. Agrawal, Fiber-Optic Communication Systems, 2nd ed. (Wiley, New York, 1998).

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Figures (4)

Fig. 1
Fig. 1

σ/σ0 versus fiber link length L obtained by direct application of Eq. (5) (solid curves) and by solution of the nonlinear Schrödinger equation (asterisks). The FOD value is β4=0.0086 ps4/km, and the curves are parameterized by source chirp parameter C.

Fig. 2
Fig. 2

σ/σ0 as a function of the source chirp C with the link length as a parameter. The FOD value is β4=0.00086 ps4/km, and the pulse width T0=380 fs corresponds to a return-to-zero pulse width for a 640-Gbit/s system.

Fig. 3
Fig. 3

Pulse-shape evolution with distance for an optical fiber link optimized for FOD compensation at a link distance of 30 km with source chirp values of (a) C=-1 and (b) C=0.2596.

Fig. 4
Fig. 4

Rmax and σ0,optimum as functions of link length for a fiber with β4=0.00086 ps4/km.

Equations (8)

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βL=β0L+β1Lw-w0+β2L2w-w02+β3L6w-w03+β4L24w-w04+,
σσ0=1+4CD+4D2+12FC1+C2+V2+9B2+24DF1+C2+V22+60F21+C2+V231/2.
D=β2L2T02,    B=β3L6T03,    F=β4L24T04.
V=WT0,    C=δwT0.
σ/σ0=1+12FC1+C2+60F21+C231/2.
C4+2C2+C5F+1=0.
L<1.56T04β4.
Rmax14σmin=0.3541β4L4.

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