Abstract

Phase modulation–amplitude modulation conversion in dispersive fibers is affected by nonlinear phase modulation and modulation instability. A differential equation is derived under adiabatic approximations and is solved analytically. The results agree well with experimental values. A simple measurement of the nonlinear coefficient is thus feasible.

© 1995 Optical Society of America

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References

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  1. A. R. Chraplyvy, R. W. Tkach, L. L. Buhl, R. C. Alferness, Electron. Lett. 22, 409 (1986).
    [CrossRef]
  2. Y. Yamabayashi, M. Tomizawa, Y. Sato, in Digest of IEEE IMTC ’94 (Institute of Electrical and Electronics Engineers, New York, 1994), Vol. 2, p. 1040.
  3. M. Tomizawa, Y. Yamabayashi, Y. Sato, T. Kataoka, Electron. Lett. 30, 1434 (1994).
    [CrossRef]
  4. G. P. Agrawal, Nonlinear Fiber Optics (Academic, San Diego, Calif., 1989), Chap. 5, p. 106.
  5. G. P. Agrawal, Phys. Rev. Lett. 59, 880 (1987).
    [CrossRef] [PubMed]
  6. J. E. Rothenberg, Phys. Rev. A 42, 682 (1990).
    [CrossRef] [PubMed]

1994

M. Tomizawa, Y. Yamabayashi, Y. Sato, T. Kataoka, Electron. Lett. 30, 1434 (1994).
[CrossRef]

1990

J. E. Rothenberg, Phys. Rev. A 42, 682 (1990).
[CrossRef] [PubMed]

1987

G. P. Agrawal, Phys. Rev. Lett. 59, 880 (1987).
[CrossRef] [PubMed]

1986

A. R. Chraplyvy, R. W. Tkach, L. L. Buhl, R. C. Alferness, Electron. Lett. 22, 409 (1986).
[CrossRef]

Agrawal, G. P.

G. P. Agrawal, Phys. Rev. Lett. 59, 880 (1987).
[CrossRef] [PubMed]

G. P. Agrawal, Nonlinear Fiber Optics (Academic, San Diego, Calif., 1989), Chap. 5, p. 106.

Alferness, R. C.

A. R. Chraplyvy, R. W. Tkach, L. L. Buhl, R. C. Alferness, Electron. Lett. 22, 409 (1986).
[CrossRef]

Buhl, L. L.

A. R. Chraplyvy, R. W. Tkach, L. L. Buhl, R. C. Alferness, Electron. Lett. 22, 409 (1986).
[CrossRef]

Chraplyvy, A. R.

A. R. Chraplyvy, R. W. Tkach, L. L. Buhl, R. C. Alferness, Electron. Lett. 22, 409 (1986).
[CrossRef]

Kataoka, T.

M. Tomizawa, Y. Yamabayashi, Y. Sato, T. Kataoka, Electron. Lett. 30, 1434 (1994).
[CrossRef]

Rothenberg, J. E.

J. E. Rothenberg, Phys. Rev. A 42, 682 (1990).
[CrossRef] [PubMed]

Sato, Y.

M. Tomizawa, Y. Yamabayashi, Y. Sato, T. Kataoka, Electron. Lett. 30, 1434 (1994).
[CrossRef]

Y. Yamabayashi, M. Tomizawa, Y. Sato, in Digest of IEEE IMTC ’94 (Institute of Electrical and Electronics Engineers, New York, 1994), Vol. 2, p. 1040.

Tkach, R. W.

A. R. Chraplyvy, R. W. Tkach, L. L. Buhl, R. C. Alferness, Electron. Lett. 22, 409 (1986).
[CrossRef]

Tomizawa, M.

M. Tomizawa, Y. Yamabayashi, Y. Sato, T. Kataoka, Electron. Lett. 30, 1434 (1994).
[CrossRef]

Y. Yamabayashi, M. Tomizawa, Y. Sato, in Digest of IEEE IMTC ’94 (Institute of Electrical and Electronics Engineers, New York, 1994), Vol. 2, p. 1040.

Yamabayashi, Y.

M. Tomizawa, Y. Yamabayashi, Y. Sato, T. Kataoka, Electron. Lett. 30, 1434 (1994).
[CrossRef]

Y. Yamabayashi, M. Tomizawa, Y. Sato, in Digest of IEEE IMTC ’94 (Institute of Electrical and Electronics Engineers, New York, 1994), Vol. 2, p. 1040.

Electron. Lett.

A. R. Chraplyvy, R. W. Tkach, L. L. Buhl, R. C. Alferness, Electron. Lett. 22, 409 (1986).
[CrossRef]

M. Tomizawa, Y. Yamabayashi, Y. Sato, T. Kataoka, Electron. Lett. 30, 1434 (1994).
[CrossRef]

Phys. Rev. A

J. E. Rothenberg, Phys. Rev. A 42, 682 (1990).
[CrossRef] [PubMed]

Phys. Rev. Lett.

G. P. Agrawal, Phys. Rev. Lett. 59, 880 (1987).
[CrossRef] [PubMed]

Other

G. P. Agrawal, Nonlinear Fiber Optics (Academic, San Diego, Calif., 1989), Chap. 5, p. 106.

Y. Yamabayashi, M. Tomizawa, Y. Sato, in Digest of IEEE IMTC ’94 (Institute of Electrical and Electronics Engineers, New York, 1994), Vol. 2, p. 1040.

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Figures (3)

Fig. 1
Fig. 1

Schematic of the small region for deriving the differential equation.

Fig. 2
Fig. 2

Experimental setup: LD, laser diode; PD, photo-diode.

Fig. 3
Fig. 3

Experimental results with the theoretical plots.

Equations (8)

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h ( L ) = exp ( g L ) f ( L ) ,
f ( L + d L ) - f ( L ) = b m ( L ) β d L ω m 2 ,
b m ( L ) = b m ( L - d L ) - sgn ( β ) γ P 0 d L × h ( L - d L ) ,
g ω m β γ P 0 q ,
2 f ( L ) L 2 = - sgn ( β ) γ P 0 β ω m 2 exp ( g L ) f ( L ) .
h ( L ) = b m 0 β ω m 2 L exp ( g L ) Φ ( L ) ,
sgn ( β ) = - 1 : Φ ( L ) = I 0 [ exp ( 1 2 g L ) / q ] I 0 ( 1 / q ) ,
sgn ( β ) = + 1 : Φ ( L ) = J 0 [ exp ( 1 2 g L ) / q ] J 0 ( 1 / q ) ,

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