Abstract

A laser with a ring resonator that incorporates a nonlinear antiresonant loop is proposed and analyzed. With computer simulation it is shown that the mode-locking process is self-starting and that, when the laser is properly designed, gain-bandwidth-limited pulses can be obtained. Passive mode-locked, bistable, and chaotic solutions are found to depend on the design parameters of the model.

© 1991 Optical Society of America

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References

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  1. J. Goodberlet, J. Wang, J. G. Fujimoto, P. A. Schulz, Opt. Lett. 14, 1125 (1989).
    [CrossRef] [PubMed]
  2. A. G. Bulushev, E. M. Dianov, O. G. Okhotnikov, Kvant. Elektron. 17, 733 (1990).
  3. I. N. Duling, T. F. Carruthers, in Conference on Lasers and Electro-Optics, Vol. 7 of 1990 OSA Technical Digest Series (Optical Society of America, Washington, D. C., 1990), paper CFR4.
  4. F. M. Mitschke, L. F. Mollenauer, IEEE J. Quantum Electron. QE-22, 2242 (1986).
    [CrossRef]
  5. A. G. Bulushev, E. M. Dianov, A. V. Kuznetsov, O. G. Okhotnikov, V. M. Paramonov, V. A. Tsarev, Kvant. Elektron. 17, 621 (1990).
  6. K. J. Blow, N. J. Doran, B. K. Nayar, Opt. Lett. 14, 754 (1989).
    [CrossRef] [PubMed]
  7. A. G. Bulushev, Y. V. Gurov, E. M. Dianov, A. V. Kuznetsov, O. G. Okhotnikov, V. M. Paramonov, IEEE J. Lightwave Technol. 6, 1575 (1988).
    [CrossRef]

1990 (2)

A. G. Bulushev, E. M. Dianov, O. G. Okhotnikov, Kvant. Elektron. 17, 733 (1990).

A. G. Bulushev, E. M. Dianov, A. V. Kuznetsov, O. G. Okhotnikov, V. M. Paramonov, V. A. Tsarev, Kvant. Elektron. 17, 621 (1990).

1989 (2)

1988 (1)

A. G. Bulushev, Y. V. Gurov, E. M. Dianov, A. V. Kuznetsov, O. G. Okhotnikov, V. M. Paramonov, IEEE J. Lightwave Technol. 6, 1575 (1988).
[CrossRef]

1986 (1)

F. M. Mitschke, L. F. Mollenauer, IEEE J. Quantum Electron. QE-22, 2242 (1986).
[CrossRef]

Blow, K. J.

Bulushev, A. G.

A. G. Bulushev, E. M. Dianov, O. G. Okhotnikov, Kvant. Elektron. 17, 733 (1990).

A. G. Bulushev, E. M. Dianov, A. V. Kuznetsov, O. G. Okhotnikov, V. M. Paramonov, V. A. Tsarev, Kvant. Elektron. 17, 621 (1990).

A. G. Bulushev, Y. V. Gurov, E. M. Dianov, A. V. Kuznetsov, O. G. Okhotnikov, V. M. Paramonov, IEEE J. Lightwave Technol. 6, 1575 (1988).
[CrossRef]

Carruthers, T. F.

I. N. Duling, T. F. Carruthers, in Conference on Lasers and Electro-Optics, Vol. 7 of 1990 OSA Technical Digest Series (Optical Society of America, Washington, D. C., 1990), paper CFR4.

Dianov, E. M.

A. G. Bulushev, E. M. Dianov, O. G. Okhotnikov, Kvant. Elektron. 17, 733 (1990).

A. G. Bulushev, E. M. Dianov, A. V. Kuznetsov, O. G. Okhotnikov, V. M. Paramonov, V. A. Tsarev, Kvant. Elektron. 17, 621 (1990).

A. G. Bulushev, Y. V. Gurov, E. M. Dianov, A. V. Kuznetsov, O. G. Okhotnikov, V. M. Paramonov, IEEE J. Lightwave Technol. 6, 1575 (1988).
[CrossRef]

Doran, N. J.

Duling, I. N.

I. N. Duling, T. F. Carruthers, in Conference on Lasers and Electro-Optics, Vol. 7 of 1990 OSA Technical Digest Series (Optical Society of America, Washington, D. C., 1990), paper CFR4.

Fujimoto, J. G.

Goodberlet, J.

Gurov, Y. V.

A. G. Bulushev, Y. V. Gurov, E. M. Dianov, A. V. Kuznetsov, O. G. Okhotnikov, V. M. Paramonov, IEEE J. Lightwave Technol. 6, 1575 (1988).
[CrossRef]

Kuznetsov, A. V.

A. G. Bulushev, E. M. Dianov, A. V. Kuznetsov, O. G. Okhotnikov, V. M. Paramonov, V. A. Tsarev, Kvant. Elektron. 17, 621 (1990).

A. G. Bulushev, Y. V. Gurov, E. M. Dianov, A. V. Kuznetsov, O. G. Okhotnikov, V. M. Paramonov, IEEE J. Lightwave Technol. 6, 1575 (1988).
[CrossRef]

Mitschke, F. M.

F. M. Mitschke, L. F. Mollenauer, IEEE J. Quantum Electron. QE-22, 2242 (1986).
[CrossRef]

Mollenauer, L. F.

F. M. Mitschke, L. F. Mollenauer, IEEE J. Quantum Electron. QE-22, 2242 (1986).
[CrossRef]

Nayar, B. K.

Okhotnikov, O. G.

A. G. Bulushev, E. M. Dianov, O. G. Okhotnikov, Kvant. Elektron. 17, 733 (1990).

A. G. Bulushev, E. M. Dianov, A. V. Kuznetsov, O. G. Okhotnikov, V. M. Paramonov, V. A. Tsarev, Kvant. Elektron. 17, 621 (1990).

A. G. Bulushev, Y. V. Gurov, E. M. Dianov, A. V. Kuznetsov, O. G. Okhotnikov, V. M. Paramonov, IEEE J. Lightwave Technol. 6, 1575 (1988).
[CrossRef]

Paramonov, V. M.

A. G. Bulushev, E. M. Dianov, A. V. Kuznetsov, O. G. Okhotnikov, V. M. Paramonov, V. A. Tsarev, Kvant. Elektron. 17, 621 (1990).

A. G. Bulushev, Y. V. Gurov, E. M. Dianov, A. V. Kuznetsov, O. G. Okhotnikov, V. M. Paramonov, IEEE J. Lightwave Technol. 6, 1575 (1988).
[CrossRef]

Schulz, P. A.

Tsarev, V. A.

A. G. Bulushev, E. M. Dianov, A. V. Kuznetsov, O. G. Okhotnikov, V. M. Paramonov, V. A. Tsarev, Kvant. Elektron. 17, 621 (1990).

Wang, J.

IEEE J. Lightwave Technol. (1)

A. G. Bulushev, Y. V. Gurov, E. M. Dianov, A. V. Kuznetsov, O. G. Okhotnikov, V. M. Paramonov, IEEE J. Lightwave Technol. 6, 1575 (1988).
[CrossRef]

IEEE J. Quantum Electron. (1)

F. M. Mitschke, L. F. Mollenauer, IEEE J. Quantum Electron. QE-22, 2242 (1986).
[CrossRef]

Kvant. Elektron. (2)

A. G. Bulushev, E. M. Dianov, A. V. Kuznetsov, O. G. Okhotnikov, V. M. Paramonov, V. A. Tsarev, Kvant. Elektron. 17, 621 (1990).

A. G. Bulushev, E. M. Dianov, O. G. Okhotnikov, Kvant. Elektron. 17, 733 (1990).

Opt. Lett. (2)

Other (1)

I. N. Duling, T. F. Carruthers, in Conference on Lasers and Electro-Optics, Vol. 7 of 1990 OSA Technical Digest Series (Optical Society of America, Washington, D. C., 1990), paper CFR4.

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Figures (3)

Fig. 1
Fig. 1

Schematic of the laser with a nonlinear ring resonator: (a) the all-fiber design and (b) its bulk-optic version. Mirrors M1, M2, and M5 form the nonlinear ARL; mirrors M3, M4, and M5 form the unidirectional active subcavity.

Fig. 2
Fig. 2

Evolution of the pulse self-starting from the random noise.

Fig. 3
Fig. 3

Loss–coupling ratio parameter plane illustrating the operating regimes. Curves 1, 2, and 3 limit the domains (region A) of the passive start-up of stable mode locking for L = 0.5, 1.0, and 1.5, respectively. Region B is the domain of chaotic self-pulsing; region C is the domain of forced self-starting.

Equations (6)

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A f / z - i 0.5 k 2 2 A f / 2 η + i β 1 A f 2 A f = 0 , η = t - z / u .
R = i ρ τ γ 1 / 2 ( 1 + ζ ) exp ( i ξ ) , T = ( τ 2 ζ - r ) γ 1 / 2 exp ( i ξ ) ,
ξ = - β 1 r γ A in 2 L + ξ 0 , ζ = exp [ β 1 ( r γ - τ 2 ) A in 2 L ] .
A in n + 1 = f ( ω ) / ( 1 + I ) A out n .
I = - + A out ( ω ) 2 d ω .
f ( ω ) = α / [ 1 + ( ω / Δ ω ) 2 ] ,

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