Abstract

When two optical incoherent beams copropagate in an optical fiber, the intensity-dependent refractive index couples the two beams through a nonlinear process known as cross-phase modulation. We show, for the first time to our knowledge, experimental evidence on cross-phase-modulation-induced correlation time reduction and a concomitant growth of the frequency components of the two copropagating incoherent waves in a single-mode optical fiber. Theoretical analysis agrees well with experimental data.

© 1992 Optical Society of America

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References

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  1. R. Beach, S. R. Hartmann, Phys. Rev. Lett. 53, 663 (1984).
    [CrossRef]
  2. S. Asaka, H. Nakatsuka, M. Fujiwara, M. Matsuoka, Phys. Rev. A 29, 2286 (1984).
    [CrossRef]
  3. N. Morita, T. Yajima, Phys. Rev. A 30, 2525 (1984).
    [CrossRef]
  4. F. G. Bass, Y. S. Kivshar, V. V. Konotop, S. A. Puzenko, Opt. Commun. 64, 383 (1987).
    [CrossRef]
  5. A. S. Gouveia-Neto, J. R. Taylor, Electron. Lett. 25, 737 (1989).
    [CrossRef]
  6. A. S. Gouveia-Neto, P. G. J. Wigley, J. R. Taylor, Opt. Lett. 14, 1122 (1989).
    [CrossRef] [PubMed]
  7. J. T. Manassah, Appl. Opt. 26, 3747 (1987); D. Schadt, B. Jaskorzynska, J. Opt. Soc. Am. B 4, 856 (1987); M. N. Islam, L. F. Mollenauer, R. H. Stolen, J. R. Simpson, H. T. Shang, Opt. Lett. 12, 625 (1987).
    [CrossRef] [PubMed]
  8. G. P. Agrawal, Nonlinear Fiber Optics (Academic, Boston, Mass., 1989).
  9. R. R. Alfano, ed., The Supercontinuum Laser Source (Springer-Verlag, New York, 1989).
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  11. J. T. Manassah, Opt. Lett. 16, 1638 (1991).
    [CrossRef] [PubMed]
  12. M. T. de Araujo, Heber R. da Cruz, A. S. Gouveia-Neto, J. Opt. Soc. Am. B 8, 2094 (1991).
    [CrossRef]

1991 (2)

1990 (1)

1989 (2)

1987 (2)

1984 (3)

R. Beach, S. R. Hartmann, Phys. Rev. Lett. 53, 663 (1984).
[CrossRef]

S. Asaka, H. Nakatsuka, M. Fujiwara, M. Matsuoka, Phys. Rev. A 29, 2286 (1984).
[CrossRef]

N. Morita, T. Yajima, Phys. Rev. A 30, 2525 (1984).
[CrossRef]

Agrawal, G. P.

G. P. Agrawal, Nonlinear Fiber Optics (Academic, Boston, Mass., 1989).

Asaka, S.

S. Asaka, H. Nakatsuka, M. Fujiwara, M. Matsuoka, Phys. Rev. A 29, 2286 (1984).
[CrossRef]

Bass, F. G.

F. G. Bass, Y. S. Kivshar, V. V. Konotop, S. A. Puzenko, Opt. Commun. 64, 383 (1987).
[CrossRef]

Beach, R.

R. Beach, S. R. Hartmann, Phys. Rev. Lett. 53, 663 (1984).
[CrossRef]

da Cruz, Heber R.

de Araujo, M. T.

Fujiwara, M.

S. Asaka, H. Nakatsuka, M. Fujiwara, M. Matsuoka, Phys. Rev. A 29, 2286 (1984).
[CrossRef]

Gouveia-Neto, A. S.

Hartmann, S. R.

R. Beach, S. R. Hartmann, Phys. Rev. Lett. 53, 663 (1984).
[CrossRef]

Kivshar, Y. S.

F. G. Bass, Y. S. Kivshar, V. V. Konotop, S. A. Puzenko, Opt. Commun. 64, 383 (1987).
[CrossRef]

Konotop, V. V.

F. G. Bass, Y. S. Kivshar, V. V. Konotop, S. A. Puzenko, Opt. Commun. 64, 383 (1987).
[CrossRef]

Manassah, J. T.

Matsuoka, M.

S. Asaka, H. Nakatsuka, M. Fujiwara, M. Matsuoka, Phys. Rev. A 29, 2286 (1984).
[CrossRef]

Morita, N.

N. Morita, T. Yajima, Phys. Rev. A 30, 2525 (1984).
[CrossRef]

Nakatsuka, H.

S. Asaka, H. Nakatsuka, M. Fujiwara, M. Matsuoka, Phys. Rev. A 29, 2286 (1984).
[CrossRef]

Puzenko, S. A.

F. G. Bass, Y. S. Kivshar, V. V. Konotop, S. A. Puzenko, Opt. Commun. 64, 383 (1987).
[CrossRef]

Taylor, J. R.

Wigley, P. G. J.

Yajima, T.

N. Morita, T. Yajima, Phys. Rev. A 30, 2525 (1984).
[CrossRef]

Appl. Opt. (1)

Electron. Lett. (1)

A. S. Gouveia-Neto, J. R. Taylor, Electron. Lett. 25, 737 (1989).
[CrossRef]

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

Opt. Commun. (1)

F. G. Bass, Y. S. Kivshar, V. V. Konotop, S. A. Puzenko, Opt. Commun. 64, 383 (1987).
[CrossRef]

Opt. Lett. (3)

Phys. Rev. A (2)

S. Asaka, H. Nakatsuka, M. Fujiwara, M. Matsuoka, Phys. Rev. A 29, 2286 (1984).
[CrossRef]

N. Morita, T. Yajima, Phys. Rev. A 30, 2525 (1984).
[CrossRef]

Phys. Rev. Lett. (1)

R. Beach, S. R. Hartmann, Phys. Rev. Lett. 53, 663 (1984).
[CrossRef]

Other (2)

G. P. Agrawal, Nonlinear Fiber Optics (Academic, Boston, Mass., 1989).

R. R. Alfano, ed., The Supercontinuum Laser Source (Springer-Verlag, New York, 1989).

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Figures (3)

Fig. 1
Fig. 1

Experimental apparatus. MO’s, microscope objectives; BS’s, dichroic beam splitters; P’s, prisms.

Fig. 2
Fig. 2

Autocorrelation traces and corresponding spectra for the output signal at average pump powers of (a) 0 mW, (b) 10 mW, (c) 20 mW, (d) 30 mW, and (e) 40 mW at 1410 nm.

Fig. 3
Fig. 3

Coherence time of the signal versus the pump power. The symbols are experimental points, and the solid curve is the best fit obtained with Eq. (9).

Equations (9)

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A 1 z + i 2 β 21 2 A 1 T 2 = i γ 1 ( A 1 2 + 2 A 2 2 ) A 1 , A 2 z + d A 2 T + i 2 β 22 2 A 2 T 2 = i γ 2 ( A 2 2 + 2 A 1 2 ) A 2 ,
A 2 ( z , T ) = A 2 ( 0 , T ) exp ( i ϕ 2 ) ,
Γ 2 ( z , τ ) = E 2 * ( z , T + τ ) E 2 ( z , T ) = exp ( - i ω 2 τ ) A 2 * ( z , T + τ ) A 2 ( z , T ) ,
Γ 2 ( 0 , τ ) = exp ( - i ω j τ ) A j * ( 0 , T + τ ) A j ( 0 , T ) = A 0 j 2 f j ( τ ) exp ( - i ω j τ ) ,
A 1 ( u , z ) = A 01 1 ( u , z ) ,             A 2 ( u , z ) = A 02 2 ( u , z ) ,
2 ( z , t ) = 2 ( 0 , T ) exp { i [ α 1 1 * ( 0 , T ) 1 ( 0 , T ) + α 2 2 * ( 0 , T ) 2 ( 0 , T ) ] } ,
Γ 2 ( z , τ ) = exp ( - i ω 2 τ ) A 02 2 2 * ( 0 , T ) 2 ( 0 , T ) × exp { α 1 [ 1 * ( 0 , T ) 1 ( 0 , T ) - 1 * ( 0 , T + τ ) 1 ( 0 , T + τ ) ] + 2 α 2 [ 2 * ( 0 , T ) 2 ( 0 , T ) - 2 * ( 0 , T + τ ) 2 ( 0 , T + τ ) ] } ,
Γ 2 ( z , τ ) = exp ( - i ω 2 τ ) A 02 2 f 2 ( τ ) { 1 + α 2 2 [ 1 - f 2 2 ( τ ) ] } 2 × 1 { 1 + 4 α 1 2 [ 1 - f 1 2 ( τ ) ] } .
T C 2 = T 1 T 2 [ T 1 2 ( 1 + 4 α 2 2 ) + 8 T 2 2 α 1 2 ] 1 / 2 .

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