Abstract

The stimulated Raman gain spectrum of optical fibers has been measured down to 6 cm−1 by means of short pulses. Results for parallel and perpendicular polarizations are reported. With this technique, we observe spectral oscillations arising from a Brillouin mediated coupling between cw and pulsed light.

© 1995 Optical Society of America

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References

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  1. R. H. Stolen, E. P. Ippen, Appl. Phys. Lett. 22, 276 (1973).
    [CrossRef]
  2. R. H. Stolen, Phys. Chem. Glasses 11, 83 (1970).
  3. M. Hass, J. Phys. Chem. Solids 31, 415 (1970).
    [CrossRef]
  4. G. Winterling, Phys. Rev. B 12, 2432 (1975).
    [CrossRef]
  5. F. X. Kärtner, D. J. Dougherty, H. A. Haus, E. P. Ippen, J. Opt. Soc. Am. B 11, 1267 (1994).
    [CrossRef]
  6. F. M. Mitschke, L. F. Mollenauer, Opt. Lett. 11, 659 (1986).
    [CrossRef] [PubMed]
  7. J. P. Gordon, Opt. Lett. 11, 661 (1986).
  8. E. Tokunaga, A. Terasaki, T. Kobayashi, Opt. Lett. 18, 370 (1993).
    [CrossRef] [PubMed]
  9. A. Gaeta, R. W. Boyd, Phys. Rev. A 44, 3205 (1991).
    [CrossRef] [PubMed]

1994 (1)

1993 (1)

1991 (1)

A. Gaeta, R. W. Boyd, Phys. Rev. A 44, 3205 (1991).
[CrossRef] [PubMed]

1986 (2)

1975 (1)

G. Winterling, Phys. Rev. B 12, 2432 (1975).
[CrossRef]

1973 (1)

R. H. Stolen, E. P. Ippen, Appl. Phys. Lett. 22, 276 (1973).
[CrossRef]

1970 (2)

R. H. Stolen, Phys. Chem. Glasses 11, 83 (1970).

M. Hass, J. Phys. Chem. Solids 31, 415 (1970).
[CrossRef]

Boyd, R. W.

A. Gaeta, R. W. Boyd, Phys. Rev. A 44, 3205 (1991).
[CrossRef] [PubMed]

Dougherty, D. J.

Gaeta, A.

A. Gaeta, R. W. Boyd, Phys. Rev. A 44, 3205 (1991).
[CrossRef] [PubMed]

Gordon, J. P.

J. P. Gordon, Opt. Lett. 11, 661 (1986).

Hass, M.

M. Hass, J. Phys. Chem. Solids 31, 415 (1970).
[CrossRef]

Haus, H. A.

Ippen, E. P.

Kärtner, F. X.

Kobayashi, T.

Mitschke, F. M.

Mollenauer, L. F.

Stolen, R. H.

R. H. Stolen, E. P. Ippen, Appl. Phys. Lett. 22, 276 (1973).
[CrossRef]

R. H. Stolen, Phys. Chem. Glasses 11, 83 (1970).

Terasaki, A.

Tokunaga, E.

Winterling, G.

G. Winterling, Phys. Rev. B 12, 2432 (1975).
[CrossRef]

Appl. Phys. Lett. (1)

R. H. Stolen, E. P. Ippen, Appl. Phys. Lett. 22, 276 (1973).
[CrossRef]

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

J. Phys. Chem. Solids (1)

M. Hass, J. Phys. Chem. Solids 31, 415 (1970).
[CrossRef]

Opt. Lett. (3)

Phys. Chem. Glasses (1)

R. H. Stolen, Phys. Chem. Glasses 11, 83 (1970).

Phys. Rev. A (1)

A. Gaeta, R. W. Boyd, Phys. Rev. A 44, 3205 (1991).
[CrossRef] [PubMed]

Phys. Rev. B (1)

G. Winterling, Phys. Rev. B 12, 2432 (1975).
[CrossRef]

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Figures (4)

Fig. 1
Fig. 1

Experimental setup.

Fig. 2
Fig. 2

Top: Parallel- and cross-polarized Raman gain spectra. Bottom: Low-frequency portion of parallel spectrum with fit compared with expression of Ref. 7 and linear approximation.

Fig. 3
Fig. 3

Illustration of waveform relationships at a point 160 m down the fiber: Top trace, envelope of the chirped pump–probe interference; middle trace, the impulsively generated acoustic wave; bottom trace, nonlinear optical cross-phase modulation induced by interference of the probe and the Brillouin backscattered pump fields.

Fig. 4
Fig. 4

Measured and calculated spectral oscillations for fiber lengths 160, 420, and 700 m.

Equations (6)

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E p = E p exp [ - i ( k p z + ω p t ) ] , E s = E s exp [ - ( a - i b ) ( t - z / c ) 2 ] exp [ i ( k p z - ω p t ) ] ,
2 ρ z 2 - 1 v 2 2 ρ t 2 = Λ E p * E s exp ( i 2 k p z ) δ ( t - z / c ) ,
ρ ( z , t ) = Λ v 2 k p E p * E s exp ( i 2 k p z ) × sin ω b ( t - z / c ) Θ ( t - z / c ) ,
ρ ( ξ ) = - d ξ Λ v 2 k p E p * E s ( ξ - ξ ) sin ( ω b ξ ) Θ ( ξ ) ,
Φ nl ( t ) = 2 π n 2 z λ 1 2 c n 0 [ E b * ( t ) E s ( t ) + E b ( t ) E s * ( t ) ] .
S ( ω ) = F { E s ( t ) exp [ i Φ nl ( t ) ] } 2 - F [ E s ( t ) ] 2 ,

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