Abstract

Four-wave mixing of an intense continuous-wave pump beam with an ultrashort soliton signal in an optical fiber is theoretically analyzed. A novel class of stable two-color coupled solitary waves is found. These vector parametric solitons represent the optimal frequency conversion of an ultrashort pulse.

© 1998 Optical Society of America

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References

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  1. A. Yariv, D. Fekete, and D. Pepper, Opt. Lett. 4, 52 (1979).
    [CrossRef]
  2. S. Watanabe, T. Chikama, G. Ishikawa, T. Terahara, and H. Kuwahara, IEEE Photon. Technol. Lett. 4, 1241 (1993).
    [CrossRef]
  3. W. Forysiak and N. J. Doran, Electron. Lett. 30, 154 (1994).
    [CrossRef]
  4. K. Inoue, J. Lightwave Technol. 10, 1553 (1992).
    [CrossRef]
  5. S. Watanabe and T. Chikama, Electron. Lett. 30, 163 (1994).
    [CrossRef]
  6. S. Trillo, S. Wabnitz, E. M. Wright, and G. I. Stegeman, Opt. Lett. 13, 871 (1988).
    [CrossRef] [PubMed]
  7. G. P. Agrawal, Nonlinear Fiber Optics, 2nd ed. (Academic, New York, 1995).
  8. K. Suzuki, M. Nakazawa, and H. A. Haus, Opt. Lett. 14, 320 (1989); P. Franco, F. Fontana, I. Cristiani, M. Zenobi, M. Midrio, and M. Romagnoli, Opt. Lett. 21, 788 (1996).
    [CrossRef] [PubMed]
  9. N. N. Akhmediev, V. I. Kornev, and Yu. V. Kuz'menko, Zh. Eksp. Teor. Fiz. 88, 107 (1985) [Sov. Phys. JETP 61, 62 (1985)].
  10. J. M. Soto-Crespo, N. N. Akhmediev, V. V. Afanasjev, and S. Wabnitz, Phys. Rev. E 55, 4784 (1997).
    [CrossRef]

1997

J. M. Soto-Crespo, N. N. Akhmediev, V. V. Afanasjev, and S. Wabnitz, Phys. Rev. E 55, 4784 (1997).
[CrossRef]

1994

W. Forysiak and N. J. Doran, Electron. Lett. 30, 154 (1994).
[CrossRef]

S. Watanabe and T. Chikama, Electron. Lett. 30, 163 (1994).
[CrossRef]

1993

S. Watanabe, T. Chikama, G. Ishikawa, T. Terahara, and H. Kuwahara, IEEE Photon. Technol. Lett. 4, 1241 (1993).
[CrossRef]

1992

K. Inoue, J. Lightwave Technol. 10, 1553 (1992).
[CrossRef]

1989

1988

1985

N. N. Akhmediev, V. I. Kornev, and Yu. V. Kuz'menko, Zh. Eksp. Teor. Fiz. 88, 107 (1985) [Sov. Phys. JETP 61, 62 (1985)].

1979

Afanasjev, V. V.

J. M. Soto-Crespo, N. N. Akhmediev, V. V. Afanasjev, and S. Wabnitz, Phys. Rev. E 55, 4784 (1997).
[CrossRef]

Agrawal, G. P.

G. P. Agrawal, Nonlinear Fiber Optics, 2nd ed. (Academic, New York, 1995).

Akhmediev, N. N.

J. M. Soto-Crespo, N. N. Akhmediev, V. V. Afanasjev, and S. Wabnitz, Phys. Rev. E 55, 4784 (1997).
[CrossRef]

N. N. Akhmediev, V. I. Kornev, and Yu. V. Kuz'menko, Zh. Eksp. Teor. Fiz. 88, 107 (1985) [Sov. Phys. JETP 61, 62 (1985)].

Chikama, T.

S. Watanabe and T. Chikama, Electron. Lett. 30, 163 (1994).
[CrossRef]

S. Watanabe, T. Chikama, G. Ishikawa, T. Terahara, and H. Kuwahara, IEEE Photon. Technol. Lett. 4, 1241 (1993).
[CrossRef]

Doran, N. J.

W. Forysiak and N. J. Doran, Electron. Lett. 30, 154 (1994).
[CrossRef]

Fekete, D.

Forysiak, W.

W. Forysiak and N. J. Doran, Electron. Lett. 30, 154 (1994).
[CrossRef]

Haus, H. A.

Inoue, K.

K. Inoue, J. Lightwave Technol. 10, 1553 (1992).
[CrossRef]

Ishikawa, G.

S. Watanabe, T. Chikama, G. Ishikawa, T. Terahara, and H. Kuwahara, IEEE Photon. Technol. Lett. 4, 1241 (1993).
[CrossRef]

Kornev, V. I.

N. N. Akhmediev, V. I. Kornev, and Yu. V. Kuz'menko, Zh. Eksp. Teor. Fiz. 88, 107 (1985) [Sov. Phys. JETP 61, 62 (1985)].

Kuwahara, H.

S. Watanabe, T. Chikama, G. Ishikawa, T. Terahara, and H. Kuwahara, IEEE Photon. Technol. Lett. 4, 1241 (1993).
[CrossRef]

Kuz'menko, Yu. V.

N. N. Akhmediev, V. I. Kornev, and Yu. V. Kuz'menko, Zh. Eksp. Teor. Fiz. 88, 107 (1985) [Sov. Phys. JETP 61, 62 (1985)].

Nakazawa, M.

Pepper, D.

Soto-Crespo, J. M.

J. M. Soto-Crespo, N. N. Akhmediev, V. V. Afanasjev, and S. Wabnitz, Phys. Rev. E 55, 4784 (1997).
[CrossRef]

Stegeman, G. I.

Suzuki, K.

Terahara, T.

S. Watanabe, T. Chikama, G. Ishikawa, T. Terahara, and H. Kuwahara, IEEE Photon. Technol. Lett. 4, 1241 (1993).
[CrossRef]

Trillo, S.

Wabnitz, S.

J. M. Soto-Crespo, N. N. Akhmediev, V. V. Afanasjev, and S. Wabnitz, Phys. Rev. E 55, 4784 (1997).
[CrossRef]

S. Trillo, S. Wabnitz, E. M. Wright, and G. I. Stegeman, Opt. Lett. 13, 871 (1988).
[CrossRef] [PubMed]

Watanabe, S.

S. Watanabe and T. Chikama, Electron. Lett. 30, 163 (1994).
[CrossRef]

S. Watanabe, T. Chikama, G. Ishikawa, T. Terahara, and H. Kuwahara, IEEE Photon. Technol. Lett. 4, 1241 (1993).
[CrossRef]

Wright, E. M.

Yariv, A.

Electron. Lett.

W. Forysiak and N. J. Doran, Electron. Lett. 30, 154 (1994).
[CrossRef]

S. Watanabe and T. Chikama, Electron. Lett. 30, 163 (1994).
[CrossRef]

IEEE Photon. Technol. Lett.

S. Watanabe, T. Chikama, G. Ishikawa, T. Terahara, and H. Kuwahara, IEEE Photon. Technol. Lett. 4, 1241 (1993).
[CrossRef]

J. Lightwave Technol.

K. Inoue, J. Lightwave Technol. 10, 1553 (1992).
[CrossRef]

Opt. Lett.

Phys. Rev. E

J. M. Soto-Crespo, N. N. Akhmediev, V. V. Afanasjev, and S. Wabnitz, Phys. Rev. E 55, 4784 (1997).
[CrossRef]

Zh. Eksp. Teor. Fiz.

N. N. Akhmediev, V. I. Kornev, and Yu. V. Kuz'menko, Zh. Eksp. Teor. Fiz. 88, 107 (1985) [Sov. Phys. JETP 61, 62 (1985)].

Other

G. P. Agrawal, Nonlinear Fiber Optics, 2nd ed. (Academic, New York, 1995).

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Figures (5)

Fig. 1
Fig. 1

Decay of unstable coupled signal and conjugate pulse amplitudes versus time T and distance Z for α=0.229, γ=0.4, and ρ=-σ=1.

Fig. 2
Fig. 2

Stable propagation of coupled signal and conjugate pulses as in Fig.  1 but with α=0.277.

Fig. 3
Fig. 3

Gray area, basin of attraction from unstable into stable conjugate solitary waves versus parametric gain γ and loss α.

Fig. 4
Fig. 4

Amplitude profiles [solid (dotted) curve for U (V)] of stable conjugate solitons.

Fig. 5
Fig. 5

Basin of attraction into stable coupled solitons versus initial amplitude A and inverse width ω for an input signal in either (a) the anomalous or (b) the normal GVD regime.

Equations (6)

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iEpz+iVpEpt-β2p22Ept2+iΓpEp+REp2+2Es2+Ec2Ep+2REsEcEp* expiδkz=0,
iEsz+iVsEst-β2s22Est2+iΓsEs+REs2+2Ec2+Ep2Es+REp2Ec* exp-iδkz=0,iEcz+iVcEct-β2c22Ect2+iΓcEc+REc2+2Es2+Ep2Ec+REp2Es* exp-iδkz=0.
iuZ+122uT2+iαu+iγv-ρu-σu2+2v2u=0, ivZ+122vT2+iαv+iγu-ρv+σv2+2u2v=0,
uZ, T=UTexp-iqZ, vZ, T=VTexp-iqZ,
uZ, T=UT+fZ, Texp-iqZ, vZ, T=VT+gZ, Texp-iqZ,
fZ, T=f0TexpδZ, gZ, T=g0TexpδZ.

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