Abstract

The 8/9 normalization coefficient for the nonlinear refractive index in nonpolarization-maintaining optical fibers is confirmed directly by measurement of the ratio of the self- and cross-phase modulation coefficients for two orthogonal polarizations. The nonlinear phase shift is accurately measured with a dual-frequency beat signal as a pump source.

© 1996 Optical Society of America

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References

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  1. R. H. Stolen, in Optical Fiber Telecommunications, S. E. Miller, A. G. Chynoweth, eds. (Academic, San Diego, Calif., 1979), pp. 125–150.
  2. S. C. Rashleigh, J. Lightwave Technol. 1, 312 (1983).
    [CrossRef]
  3. P. K. A. Wai, C. R. Menyak, H. H. Chen, Opt. Lett. 16, 1231 (1991).
    [CrossRef] [PubMed]
  4. S. G. Evangelides, L. F. Mollenauer, J. P. Gordon, N. S. Bergano, IEEE J. Lightwave Technol. 10, 28 (1992).
    [CrossRef]
  5. M. Born, E. Wolf, Principles of Optics (Macmillan, New York, 1959).
  6. C. R. Menyuk, IEEE J. Quantum Electron. 25, 2674 (1989).
    [CrossRef]
  7. W. W. Bell, Special Functions for Scientists and Engineers (Van Nostrand, London, 1968).

1992

S. G. Evangelides, L. F. Mollenauer, J. P. Gordon, N. S. Bergano, IEEE J. Lightwave Technol. 10, 28 (1992).
[CrossRef]

1991

1989

C. R. Menyuk, IEEE J. Quantum Electron. 25, 2674 (1989).
[CrossRef]

1983

S. C. Rashleigh, J. Lightwave Technol. 1, 312 (1983).
[CrossRef]

Bell, W. W.

W. W. Bell, Special Functions for Scientists and Engineers (Van Nostrand, London, 1968).

Bergano, N. S.

S. G. Evangelides, L. F. Mollenauer, J. P. Gordon, N. S. Bergano, IEEE J. Lightwave Technol. 10, 28 (1992).
[CrossRef]

Born, M.

M. Born, E. Wolf, Principles of Optics (Macmillan, New York, 1959).

Chen, H. H.

Evangelides, S. G.

S. G. Evangelides, L. F. Mollenauer, J. P. Gordon, N. S. Bergano, IEEE J. Lightwave Technol. 10, 28 (1992).
[CrossRef]

Gordon, J. P.

S. G. Evangelides, L. F. Mollenauer, J. P. Gordon, N. S. Bergano, IEEE J. Lightwave Technol. 10, 28 (1992).
[CrossRef]

Menyak, C. R.

Menyuk, C. R.

C. R. Menyuk, IEEE J. Quantum Electron. 25, 2674 (1989).
[CrossRef]

Mollenauer, L. F.

S. G. Evangelides, L. F. Mollenauer, J. P. Gordon, N. S. Bergano, IEEE J. Lightwave Technol. 10, 28 (1992).
[CrossRef]

Rashleigh, S. C.

S. C. Rashleigh, J. Lightwave Technol. 1, 312 (1983).
[CrossRef]

Stolen, R. H.

R. H. Stolen, in Optical Fiber Telecommunications, S. E. Miller, A. G. Chynoweth, eds. (Academic, San Diego, Calif., 1979), pp. 125–150.

Wai, P. K. A.

Wolf, E.

M. Born, E. Wolf, Principles of Optics (Macmillan, New York, 1959).

IEEE J. Lightwave Technol.

S. G. Evangelides, L. F. Mollenauer, J. P. Gordon, N. S. Bergano, IEEE J. Lightwave Technol. 10, 28 (1992).
[CrossRef]

IEEE J. Quantum Electron.

C. R. Menyuk, IEEE J. Quantum Electron. 25, 2674 (1989).
[CrossRef]

J. Lightwave Technol.

S. C. Rashleigh, J. Lightwave Technol. 1, 312 (1983).
[CrossRef]

Opt. Lett.

Other

W. W. Bell, Special Functions for Scientists and Engineers (Van Nostrand, London, 1968).

R. H. Stolen, in Optical Fiber Telecommunications, S. E. Miller, A. G. Chynoweth, eds. (Academic, San Diego, Calif., 1979), pp. 125–150.

M. Born, E. Wolf, Principles of Optics (Macmillan, New York, 1959).

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Figures (3)

Fig. 1
Fig. 1

Experimental configuration: DFB1 and DFB2, distributed-feedback lasers 1 and 2; PC1–PC4, polarization controllers 1–4; EDFA’s, erbium-doped fiber amplifiers; BPF, bandpass filter.

Fig. 2
Fig. 2

Experimental spectrum measured at the output of the test fiber.

Fig. 3
Fig. 3

Ratio of the XPM and the SPM phase shifts versus the power measured at the output of the test fiber. The inset shows the dependence of the SPM phase shift on the power. The slope of the linear fit is used to determine the absolute value of n2. (b) Histogram of 〈μ〉 measured for various randomly set input polarization states, showing the number of times that 〈μ〉 took different values in the vicinity of 1. The total number of measurements was 16.

Equations (4)

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i L ˆ + E + = 2 π n 2 / λ { [ 1 ( μ / 9 ) ] E + | 2 E + + ( 2 / 3 ) [ 1 + ( μ / 3 ) ] | E | 2 E + + 1 / 3 [ 1 ( μ / 3 ) ] E * 2 E + } .
i ( E + / z ) = 2 π n 2 / λ { [ 1 ( μ ) / 9 ] | E + | 2 E + + 2 / 3 [ 1 + ( μ / 3 ) ] | E | 2 E + } .
E + ( L , t ) = P sin ( Ω t ) exp ( i φ SPM sin 2 Ω t + i φ 0 ) ,
E ( L , t ) = P probe exp ( i φ XPM sin 2 Ω t + i φ 1 ) ,

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