Abstract

Recent experiments in birefringent optical fibers in which a signal pulse in one polarization is used to switch a control pulse in another polarization are affected by the Raman self-frequency shift. These experiments are modeled numerically, with the experimentally measured Raman profiles used as input to the simulations. Both parallel and perpendicular Raman gain are kept. The effect of keeping the full Raman response rather than just an often-used linear approximation is discussed. The experimental results are in good agreement with theory, although some discrepancies exist. The possibility that these discrepancies could be due to errors in the measurements of the low-frequency portion of the perpendicular Raman gain is examined and ruled out. Other possible sources of this discrepancy are then discussed.

© 1991 Optical Society of America

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References

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  1. M. N. Islam, Opt. Lett. 15, 417 (1990).
    [Crossref] [PubMed]
  2. C. R. Menyuk, M. N. Islam, J. P. Gordon, Opt. Lett. 16, 566 (1991).
    [Crossref] [PubMed]
  3. R. H. Stolen, Phys. Chem. Glasses 11, 83 (1970); R. W. Hellwarth, J. Cherlow, T.-T. Yang, Phys. Rev. B 11, 964 (1975); D. M. Krol, J. G. Van Lierop, J. Non-Cryst. Solids 63, 131 (1984); F. L. Galeener, R. H. Geils, in Proceedings of the Symposium on the Structure of Non-Crystalline Materials, P. H. Gaskill, ed. (Taylor and Francis, London, 1977), pp. 223–226.
    [Crossref]
  4. R. W. Hellwarth, Prog. Quantum Electron. 5, 1 (1977).
    [Crossref]

1991 (1)

1990 (1)

1977 (1)

R. W. Hellwarth, Prog. Quantum Electron. 5, 1 (1977).
[Crossref]

1970 (1)

R. H. Stolen, Phys. Chem. Glasses 11, 83 (1970); R. W. Hellwarth, J. Cherlow, T.-T. Yang, Phys. Rev. B 11, 964 (1975); D. M. Krol, J. G. Van Lierop, J. Non-Cryst. Solids 63, 131 (1984); F. L. Galeener, R. H. Geils, in Proceedings of the Symposium on the Structure of Non-Crystalline Materials, P. H. Gaskill, ed. (Taylor and Francis, London, 1977), pp. 223–226.
[Crossref]

Gordon, J. P.

Hellwarth, R. W.

R. W. Hellwarth, Prog. Quantum Electron. 5, 1 (1977).
[Crossref]

Islam, M. N.

Menyuk, C. R.

Stolen, R. H.

R. H. Stolen, Phys. Chem. Glasses 11, 83 (1970); R. W. Hellwarth, J. Cherlow, T.-T. Yang, Phys. Rev. B 11, 964 (1975); D. M. Krol, J. G. Van Lierop, J. Non-Cryst. Solids 63, 131 (1984); F. L. Galeener, R. H. Geils, in Proceedings of the Symposium on the Structure of Non-Crystalline Materials, P. H. Gaskill, ed. (Taylor and Francis, London, 1977), pp. 223–226.
[Crossref]

Opt. Lett. (2)

Phys. Chem. Glasses (1)

R. H. Stolen, Phys. Chem. Glasses 11, 83 (1970); R. W. Hellwarth, J. Cherlow, T.-T. Yang, Phys. Rev. B 11, 964 (1975); D. M. Krol, J. G. Van Lierop, J. Non-Cryst. Solids 63, 131 (1984); F. L. Galeener, R. H. Geils, in Proceedings of the Symposium on the Structure of Non-Crystalline Materials, P. H. Gaskill, ed. (Taylor and Francis, London, 1977), pp. 223–226.
[Crossref]

Prog. Quantum Electron. (1)

R. W. Hellwarth, Prog. Quantum Electron. 5, 1 (1977).
[Crossref]

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Figures (4)

Fig. 1
Fig. 1

Raman frequency response functions and linear fits to their low-frequency portions. Curve (a), Im(1) from polarized Raman scattering; curve (b), Im(2); curve (c), Im(3) from depolarized Raman scattering; curve (d), linear fit to Im(1); curve (e), linear fit to Im(2) and Im(3).

Fig. 2
Fig. 2

Simulated relative delay of the control pulse as a function of signal power: curves (a), (b), without the Raman effect; curves (c), (d), with the linear Raman frequency response; curves (e), (f), with the complete Raman frequency response. The control pulse propagates along the fast axis in curves (a), (c), and (e); it propagates along the slow axis otherwise. The circles are experimental data from Ref. 6.

Fig. 3
Fig. 3

Various 3’s used to study the effect of varying the lower-frequency portion of the cross-polarized Raman response curve. Curve (a), Im(3) is taken from Fig. 1; curve (b), Im(3) is taken from Fig. 6.1 of Ref. 4; curve (c), Im(3) has a larger low-frequency response; curve (d), Im(3) has a smaller low-frequency response; curve (e), Im(3) has a bump added to the low-frequency response.

Fig. 4
Fig. 4

Simulated delay of the control pulse as a function of signal power. Curves (a)–(e) correspond to the 3’s shown in Fig. 3. The circles are experimental results from Ref. 1. The upper part corresponds to a control pulse propagating along the fast axis, and the lower part corresponds to a control pulse propagating along the slow axis.

Equations (2)

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i u ξ + i δ u s + 1 2 2 u s 2 + ( u 2 + B v 2 ) u + u 0 f 1 ( s ) u ( ξ , s - s ) 2 d s + u 0 f 2 ( s ) v ( ξ , s - s ) 2 d s + v 0 f 3 ( s ) u ( ξ , s - s ) v * ( ξ , s - s ) d s = 0 , i v ξ - i δ v s + 1 2 2 v s 2 + ( B u 2 + v 2 ) v + v 0 f 1 ( s ) v ( ξ , s - s ) 2 d s + v 0 f 2 ( s ) u ( ξ , s - s ) 2 d s + u 0 f 3 ( s ) u * ( ξ , s - s ) v ( ξ , s - s ) d s = 0 ,
i u ξ | Raman = - ( c 1 u u 2 s + c 2 u v 2 s + c 3 v u v * s ) , i v ξ | Raman = - ( c 1 v v 2 s + c 2 v u 2 s + c 3 u u * v s ) ,

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