Abstract

The effects of fourth-order dispersion on optical-fiber-guided ultrashort solitons are examined. It is shown that the solitons decay as a result of dispersive radiation, the nature of which is analyzed. An exact pulse solution is presented, and its properties are evaluated. Finally, the combined effects of fourth-order dispersion and intrapulse Raman scattering are discussed.

© 1993 Optical Society of America

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References

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  1. A. Hasegawa, F. Tappert, Appl. Phys. Lett. 23, 142 (1973).
    [CrossRef]
  2. G. P. Agrawal, Nonlinear Fiber Optics (Academic, San Diego, Calif., 1989), Chap. 2, p. 27.
  3. R. H. Stolen, E. H. Ippen, Appl. Phys. Lett. 22, 276 (1973).
    [CrossRef]
  4. R. H. Stolen, W. J. Tomlinson, in Nonlinear Guided-Wave Phenomena, Vol. 15 of 1991 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1991), p. 32.
  5. A. Höök, Opt. Lett. 17, 115 (1992).
    [CrossRef] [PubMed]
  6. P.-K. A. Wai, H. H. Chen, Y. C. Lee, Phys. Rev. A 41, 426 (1990).
    [CrossRef] [PubMed]
  7. S. B. Cavalcanti, J. C. Cressoni, H. R. da Cruz, A. S. Gouveia-Neto, Phys. Rev. A 43, 6162 (1991).
    [CrossRef]

1992 (1)

1991 (1)

S. B. Cavalcanti, J. C. Cressoni, H. R. da Cruz, A. S. Gouveia-Neto, Phys. Rev. A 43, 6162 (1991).
[CrossRef]

1990 (1)

P.-K. A. Wai, H. H. Chen, Y. C. Lee, Phys. Rev. A 41, 426 (1990).
[CrossRef] [PubMed]

1973 (2)

A. Hasegawa, F. Tappert, Appl. Phys. Lett. 23, 142 (1973).
[CrossRef]

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

Agrawal, G. P.

G. P. Agrawal, Nonlinear Fiber Optics (Academic, San Diego, Calif., 1989), Chap. 2, p. 27.

Cavalcanti, S. B.

S. B. Cavalcanti, J. C. Cressoni, H. R. da Cruz, A. S. Gouveia-Neto, Phys. Rev. A 43, 6162 (1991).
[CrossRef]

Chen, H. H.

P.-K. A. Wai, H. H. Chen, Y. C. Lee, Phys. Rev. A 41, 426 (1990).
[CrossRef] [PubMed]

Cressoni, J. C.

S. B. Cavalcanti, J. C. Cressoni, H. R. da Cruz, A. S. Gouveia-Neto, Phys. Rev. A 43, 6162 (1991).
[CrossRef]

da Cruz, H. R.

S. B. Cavalcanti, J. C. Cressoni, H. R. da Cruz, A. S. Gouveia-Neto, Phys. Rev. A 43, 6162 (1991).
[CrossRef]

Gouveia-Neto, A. S.

S. B. Cavalcanti, J. C. Cressoni, H. R. da Cruz, A. S. Gouveia-Neto, Phys. Rev. A 43, 6162 (1991).
[CrossRef]

Hasegawa, A.

A. Hasegawa, F. Tappert, Appl. Phys. Lett. 23, 142 (1973).
[CrossRef]

Höök, A.

Ippen, E. H.

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

Lee, Y. C.

P.-K. A. Wai, H. H. Chen, Y. C. Lee, Phys. Rev. A 41, 426 (1990).
[CrossRef] [PubMed]

Stolen, R. H.

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

R. H. Stolen, W. J. Tomlinson, in Nonlinear Guided-Wave Phenomena, Vol. 15 of 1991 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1991), p. 32.

Tappert, F.

A. Hasegawa, F. Tappert, Appl. Phys. Lett. 23, 142 (1973).
[CrossRef]

Tomlinson, W. J.

R. H. Stolen, W. J. Tomlinson, in Nonlinear Guided-Wave Phenomena, Vol. 15 of 1991 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1991), p. 32.

Wai, P.-K. A.

P.-K. A. Wai, H. H. Chen, Y. C. Lee, Phys. Rev. A 41, 426 (1990).
[CrossRef] [PubMed]

Appl. Phys. Lett. (2)

A. Hasegawa, F. Tappert, Appl. Phys. Lett. 23, 142 (1973).
[CrossRef]

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

Opt. Lett. (1)

Phys. Rev. A (2)

P.-K. A. Wai, H. H. Chen, Y. C. Lee, Phys. Rev. A 41, 426 (1990).
[CrossRef] [PubMed]

S. B. Cavalcanti, J. C. Cressoni, H. R. da Cruz, A. S. Gouveia-Neto, Phys. Rev. A 43, 6162 (1991).
[CrossRef]

Other (2)

R. H. Stolen, W. J. Tomlinson, in Nonlinear Guided-Wave Phenomena, Vol. 15 of 1991 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1991), p. 32.

G. P. Agrawal, Nonlinear Fiber Optics (Academic, San Diego, Calif., 1989), Chap. 2, p. 27.

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Figures (4)

Fig. 1
Fig. 1

Radiative decay of a tFWHM = 14.2 fs NLSE soliton that has been released in the presence of 4OD, with = 0.08 and γ = 0.0. Left: temporal pulse shape; right: spectrum, f = Ω/2π.

Fig. 2
Fig. 2

F1 (solid curve) and F2 (dashed curve), with = 0.08. |Us|2 is taken to be 0.25.

Fig. 3
Fig. 3

Propagation of the exact solution, Eq. (9), with = 0.15 and γ = 0.189. Left: temporal pulse shape; right: spectrum, f = Ω/2π.

Fig. 4
Fig. 4

Radiative decay of a tFWHM = 40.1 fs NLSE soliton that has been released in the presence of 4OD, with = 0.01 and γ = 0.098. Left: temporal pulse shape; right: spectrum, f = Ω/2π.

Equations (9)

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2 E x ( r , t ) μ 0 0 2 E x ( r , t ) t 2 μ 0 2 P x ( 1 ) ( r , t ) t 2 = μ 0 2 P x ( 3 ) ( r , t ) t 2 ,
i ( u z + β u t ) β 2 2 u t 2 i β 6 3 u t 3 + β 24 4 u t 4 + K | u | 2 u 2 μ K t IPRS 3 u t ( | u | 2 ) = 0 .
i U ζ + 1 2 2 U τ 2 + 4 U τ 4 + | U | 2 U γ U τ ( | U | 2 ) = 0 ,
U ( ζ , τ ) = A 0 sech ( A 0 τ ) exp ( i A 0 2 2 ζ ) [ 1 + δ U p ( ζ , τ ) ] U s ( 1 + δ U p ) ,
i U s U p ζ + 1 2 ( 2 U s τ U p τ + U s 2 U p τ 2 ) + ( 4 3 U s τ 3 U p τ + 6 2 U s τ 2 2 U p τ 2 + 4 U s τ 3 U p τ 3 + U s 4 U p τ 4 ) + | U s | 2 U s ( U p + U p * ) = 0 .
i U p ζ + 1 2 2 U p τ 2 + 4 U p τ 4 + | U s | 2 ( U p + U p * ) = 0 .
Γ 2 = ( Ω 2 2 + Ω 4 ) ( Ω 2 2 + Ω 4 + 2 | U s | 2 ) F 1 F 2 .
Ω u = 1 2 ,
U e ( ζ , τ ) = A e sech ( τ / τ e ) tanh ( τ / τ e ) exp ( i δ e ζ ) , A e = 3 / 10 , τ e = 20 , δ e = 11 / 400 .

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