Abstract

We perform a study of soliton generation by a passively mode-locked laser using a slow saturable absorber. We show theoretically that multisoliton regimes of generation are possible. The values of the parameters are found where one-, two-, or three-soliton solutions exist.

© 1999 Optical Society of America

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References

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1997 (4)

M. J. Lederer, B. Luther-Davies, H. H. Tan, and C. Jagadish, Appl. Phys. Lett. 70, 3428 (1997).
[CrossRef]

A. Schwache and F. Mitschke, Phys. Rev. E 55, 7720 (1997).
[CrossRef]

N. Akhmediev, A. Ankiewicz, and J. M. Soto-Crespo, Phys. Rev. Lett. 79, 4047 (1997).
[CrossRef]

J. A. der Au, D. Kopf, F. Morier-Genoud, M. Moser, and U. Keller, Opt. Lett. 22, 307 (1997).
[CrossRef]

1996 (1)

1995 (4)

1994 (2)

C.-J. Chen, P. K. A. Wai, and C. R. Menyuk, Opt. Lett. 19, 198 (1994).
[CrossRef]

H. A. Haus, E. P. Ippen, and K. Tamura, IEEE J. Quantum Electron. 30, 200 (1994).
[CrossRef]

1993 (1)

1992 (1)

V. J. Matsas, T. P. Newson, and M. N. Zervas, Opt. Commun. 92, 61 (1992).
[CrossRef]

1991 (3)

1975 (1)

H. A. Haus, J. Appl. Phys. 46, 3049 (1975).
[CrossRef]

Afanasjev, V. V.

Akhmediev, N.

N. Akhmediev, A. Ankiewicz, and J. M. Soto-Crespo, Phys. Rev. Lett. 79, 4047 (1997).
[CrossRef]

Akhmediev, N. N.

Ankiewicz, A.

N. Akhmediev, A. Ankiewicz, and J. M. Soto-Crespo, Phys. Rev. Lett. 79, 4047 (1997).
[CrossRef]

Barnett, B. C.

Bhattacharya, P.

Brovelli, L. R.

Chen, C.-J.

Chen, Y. C.

der Au, J. A.

Duling, I. N.

Fermann, M. E.

Fujimoto, J. G.

Gray, S.

Grudinin, A. B.

Haberl, F.

Haus, H. A.

H. A. Haus, E. P. Ippen, and K. Tamura, IEEE J. Quantum Electron. 30, 200 (1994).
[CrossRef]

H. A. Haus, J. G. Fujimoto, and E. P. Ippen, J. Opt. Soc. Am. B 8, 2068 (1991).
[CrossRef]

H. A. Haus, J. Appl. Phys. 46, 3049 (1975).
[CrossRef]

Hofer, M.

Howe, A. T.

Ippen, E. P.

H. A. Haus, E. P. Ippen, and K. Tamura, IEEE J. Quantum Electron. 30, 200 (1994).
[CrossRef]

H. A. Haus, J. G. Fujimoto, and E. P. Ippen, J. Opt. Soc. Am. B 8, 2068 (1991).
[CrossRef]

Islam, M. N.

Jagadish, C.

M. J. Lederer, B. Luther-Davies, H. H. Tan, and C. Jagadish, Appl. Phys. Lett. 70, 3428 (1997).
[CrossRef]

Jung, I. D.

Kamp, M.

Kärtner, F. X.

Keller, U.

Kopf, D.

Lederer, M. J.

M. J. Lederer, B. Luther-Davies, H. H. Tan, and C. Jagadish, Appl. Phys. Lett. 70, 3428 (1997).
[CrossRef]

Loh, W. H.

Luther-Davies, B.

M. J. Lederer, B. Luther-Davies, H. H. Tan, and C. Jagadish, Appl. Phys. Lett. 70, 3428 (1997).
[CrossRef]

Matsas, V. J.

Menyuk, C. R.

Mitschke, F.

A. Schwache and F. Mitschke, Phys. Rev. E 55, 7720 (1997).
[CrossRef]

Morier-Genoud, F.

Moser, M.

Newson, T. P.

Ober, M. H.

Payne, D. N.

Rahman, L.

Reddy, K. V.

Richardson, D. J.

Riha, W.

Schmidt, A. J.

Schwache, A.

A. Schwache and F. Mitschke, Phys. Rev. E 55, 7720 (1997).
[CrossRef]

Soto-Crespo, J. M.

N. Akhmediev, A. Ankiewicz, and J. M. Soto-Crespo, Phys. Rev. Lett. 79, 4047 (1997).
[CrossRef]

J. M. Soto-Crespo, N. N. Akhmediev, and V. V. Afanasjev, J. Opt. Soc. Am. B 13, 1439 (1996).
[CrossRef]

Tamura, K.

H. A. Haus, E. P. Ippen, and K. Tamura, IEEE J. Quantum Electron. 30, 200 (1994).
[CrossRef]

Tan, H. H.

M. J. Lederer, B. Luther-Davies, H. H. Tan, and C. Jagadish, Appl. Phys. Lett. 70, 3428 (1997).
[CrossRef]

Wai, P. K. A.

Zervas, M. N.

V. J. Matsas, T. P. Newson, and M. N. Zervas, Opt. Commun. 92, 61 (1992).
[CrossRef]

Appl. Phys. Lett. (1)

M. J. Lederer, B. Luther-Davies, H. H. Tan, and C. Jagadish, Appl. Phys. Lett. 70, 3428 (1997).
[CrossRef]

IEEE J. Quantum Electron. (1)

H. A. Haus, E. P. Ippen, and K. Tamura, IEEE J. Quantum Electron. 30, 200 (1994).
[CrossRef]

J. Appl. Phys. (1)

H. A. Haus, J. Appl. Phys. 46, 3049 (1975).
[CrossRef]

J. Opt. Soc. Am. B (2)

Opt. Commun. (1)

V. J. Matsas, T. P. Newson, and M. N. Zervas, Opt. Commun. 92, 61 (1992).
[CrossRef]

Opt. Lett. (9)

Phys. Rev. E (1)

A. Schwache and F. Mitschke, Phys. Rev. E 55, 7720 (1997).
[CrossRef]

Phys. Rev. Lett. (1)

N. Akhmediev, A. Ankiewicz, and J. M. Soto-Crespo, Phys. Rev. Lett. 79, 4047 (1997).
[CrossRef]

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Figures (5)

Fig. 1
Fig. 1

Stable soliton pairs of (a) type A and (b) type B. The parameters used in the simulation are shown in the figure.

Fig. 2
Fig. 2

Trajectories showing the evolution of (a) A-type and (b) B-type two-soliton solutions on the interaction plane; ρ is the distance between the solitons, and θ is the phase difference. The solid circle shows the starting point. The values of parameters for which we made these calculations are δ0=0.07, T1=1, β=0.02, g0=0.12, EL=6, and EA=3.

Fig. 3
Fig. 3

Regions of existence for two-soliton bound states.

Fig. 4
Fig. 4

(a) Trajectories showing the evolution of periodic B-type two-soliton solutions on the interaction plane. (b) Evolution of the amplitudes of the two pulses.

Fig. 5
Fig. 5

Stable soliton triplets of two different types. The values of the parameters are the same as in Fig. 2, except EL=9.

Equations (3)

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iψz+D2ψtt+|ψ|2ψ=i[g(Q)-δs(|ψ|2)]ψ+iβψtt,
g(Q)=g01+QEL.
δst=-δs-δ0T1-|ψ|2EAδs,

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