Abstract

The dynamics of two nonlinearly coupled femtosecond oscillators are investigated for the case where two distinct nonlinear mechanisms are balanced to determine the temporal relationship and properties of the pulses in the two oscillators. In the time domain the shared bleaching of a common absorber creates an attractive mechanism for the pulses, while interactive Kerr lens deflections create a repulsive mechanism. The interplay of these two mechanisms causes a variety of dynamical behaviors, including pulse synchronization, pulse duration switching, and a latching type of amplitude bistability.

© 1992 Optical Society of America

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References

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  1. J. A. Valdmanis, R. L. Fork, IEEE J. Quantum Electron. QE-22, 112 (1986).
    [CrossRef]
  2. E. Bourkoff, J. R. Whinnery, A. Dienes, Opt. Lett. 4, 179 (1979).
    [CrossRef] [PubMed]
  3. R. L. Fork, B. I. Greene, C. V. Shank, Appl. Phys. Lett. 38, 671 (1981).
    [CrossRef]
  4. The gradient-index coefficient for the population lens is several orders of magnitude less than that of the induced Kerr lens, and its effects are therefore negligible.
  5. A. E. Siegman, Lasers (University Science, Mill Valley, Calif., 1986), p. 653.
  6. G. Agrawal, Phys. Rev. Lett. 64, 2487 (1990); A. Stentz, J. Maki, M. Kauranen, G. Agrawal, R. Boyd, in Conference on Lasers and Electro-Optics, Vol. 10 of 1991 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1991), paper CWG5.
    [CrossRef] [PubMed]
  7. J. Kuo, C. Pan, Opt. Lett. 15, 1297 (1990).
    [CrossRef] [PubMed]

1990 (2)

G. Agrawal, Phys. Rev. Lett. 64, 2487 (1990); A. Stentz, J. Maki, M. Kauranen, G. Agrawal, R. Boyd, in Conference on Lasers and Electro-Optics, Vol. 10 of 1991 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1991), paper CWG5.
[CrossRef] [PubMed]

J. Kuo, C. Pan, Opt. Lett. 15, 1297 (1990).
[CrossRef] [PubMed]

1986 (1)

J. A. Valdmanis, R. L. Fork, IEEE J. Quantum Electron. QE-22, 112 (1986).
[CrossRef]

1981 (1)

R. L. Fork, B. I. Greene, C. V. Shank, Appl. Phys. Lett. 38, 671 (1981).
[CrossRef]

1979 (1)

Agrawal, G.

G. Agrawal, Phys. Rev. Lett. 64, 2487 (1990); A. Stentz, J. Maki, M. Kauranen, G. Agrawal, R. Boyd, in Conference on Lasers and Electro-Optics, Vol. 10 of 1991 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1991), paper CWG5.
[CrossRef] [PubMed]

Bourkoff, E.

Dienes, A.

Fork, R. L.

J. A. Valdmanis, R. L. Fork, IEEE J. Quantum Electron. QE-22, 112 (1986).
[CrossRef]

R. L. Fork, B. I. Greene, C. V. Shank, Appl. Phys. Lett. 38, 671 (1981).
[CrossRef]

Greene, B. I.

R. L. Fork, B. I. Greene, C. V. Shank, Appl. Phys. Lett. 38, 671 (1981).
[CrossRef]

Kuo, J.

Pan, C.

Shank, C. V.

R. L. Fork, B. I. Greene, C. V. Shank, Appl. Phys. Lett. 38, 671 (1981).
[CrossRef]

Siegman, A. E.

A. E. Siegman, Lasers (University Science, Mill Valley, Calif., 1986), p. 653.

Valdmanis, J. A.

J. A. Valdmanis, R. L. Fork, IEEE J. Quantum Electron. QE-22, 112 (1986).
[CrossRef]

Whinnery, J. R.

Appl. Phys. Lett. (1)

R. L. Fork, B. I. Greene, C. V. Shank, Appl. Phys. Lett. 38, 671 (1981).
[CrossRef]

IEEE J. Quantum Electron. (1)

J. A. Valdmanis, R. L. Fork, IEEE J. Quantum Electron. QE-22, 112 (1986).
[CrossRef]

Opt. Lett. (2)

Phys. Rev. Lett. (1)

G. Agrawal, Phys. Rev. Lett. 64, 2487 (1990); A. Stentz, J. Maki, M. Kauranen, G. Agrawal, R. Boyd, in Conference on Lasers and Electro-Optics, Vol. 10 of 1991 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1991), paper CWG5.
[CrossRef] [PubMed]

Other (2)

The gradient-index coefficient for the population lens is several orders of magnitude less than that of the induced Kerr lens, and its effects are therefore negligible.

A. E. Siegman, Lasers (University Science, Mill Valley, Calif., 1986), p. 653.

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Figures (3)

Fig. 1
Fig. 1

(a) Experimental arrangement for the coupled pair of CPM laser oscillators, (b) Inside the saturable absorber the Kerr lens created by one pulse deflects the other pulse given a spatial offset, Δ, of the beam waists.

Fig. 2
Fig. 2

Two synchronized pulse trains displayed on the oscilloscope. Only channel 1 (top) is triggered. The stable pulse trains shown in channel 2 (bottom) indicate synchronization. The time base is 5 ns/division for these traces.

Fig. 3
Fig. 3

Durations of the two pulses vary as a function of relative path length with an abrupt crossover near the condition of identical path length.

Tables (1)

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Table 1 Bistable Behavior for Pulses of 100-fs Durationa

Equations (1)

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( Θ f D ) 2 ( m + 1 ) ( 2 m + 1 ) 3 < α l .

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