Abstract

The self-starting condition of passively mode-locked lasers, including those locked by additive-pulse mode locking, is reexamined. A quantitative model is developed for a threshold intensity for self-starting based on the hypothesis that spurious reflections have to be overcome by coherent injection signals of sufficient amplitude.

© 1991 Optical Society of America

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References

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  1. H. A. Haus, J. Appl. Phys. 46, 3049 (1975).
    [CrossRef]
  2. J. Mark, L. Y. Liu, K. L. Hall, H. A. Haus, E. P. Ippen, Opt. Lett. 14, 48 (1989).
    [CrossRef] [PubMed]
  3. K. J. Blow, B. P. Nelson, Opt. Lett. 13, 1026 (1988).
    [CrossRef] [PubMed]
  4. P. N. Kean, X. Zhu, D. W. Crust, R. S. Grant, N. Langford, W. Sibbett, Opt. Lett. 14, 39 (1989).
    [CrossRef] [PubMed]
  5. C. P. Yakymyshyn, J. F. Pinto, C. R. Pollock, Opt. Lett. 14, 621 (1989).
    [CrossRef] [PubMed]
  6. J. Goodberlet, J. Wang, J. G. Fujimoto, P. A. Schulz, Opt. Lett. 14, 1125 (1989).
    [CrossRef] [PubMed]
  7. J. Goodberlet, J. Wang, J. G. Fujimoto, P. A. Schulz, Opt. Lett. 15, 1300 (1990).
    [CrossRef] [PubMed]
  8. J. Goodberlet, J. Jacobson, J. G. Fujimoto, P. A. Schulz, T. Y. Fan, Opt. Lett. 15, 504 (1990).
    [CrossRef] [PubMed]
  9. L. Y. Liu, J. M. Huxley, E. P. Ippen, H. A. Haus, Opt. Lett. 15, 553 (1990).
    [CrossRef] [PubMed]
  10. J. M. Liu, J. K. Chee, Opt. Lett. 15, 685 (1990).
    [CrossRef] [PubMed]
  11. F. Krausz, C. Spielmann, T. Brabec, E. Wintner, A. J. Schmidt, Opt. Lett. 15, 737 (1990).
    [CrossRef] [PubMed]
  12. E. P. Ippen, L. Y. Liu, H. A. Haus, Opt. Lett. 15, 183 (1990).
    [CrossRef] [PubMed]
  13. F. Krausz, T. Brabec, C. Spielmann, Opt. Lett. 16, 235 (1991).
    [CrossRef] [PubMed]

1991 (1)

1990 (6)

1989 (4)

1988 (1)

1975 (1)

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

Blow, K. J.

Brabec, T.

Chee, J. K.

Crust, D. W.

Fan, T. Y.

Fujimoto, J. G.

Goodberlet, J.

Grant, R. S.

Hall, K. L.

Haus, H. A.

Huxley, J. M.

Ippen, E. P.

Jacobson, J.

Kean, P. N.

Krausz, F.

Langford, N.

Liu, J. M.

Liu, L. Y.

Mark, J.

Nelson, B. P.

Pinto, J. F.

Pollock, C. R.

Schmidt, A. J.

Schulz, P. A.

Sibbett, W.

Spielmann, C.

Wang, J.

Wintner, E.

Yakymyshyn, C. P.

Zhu, X.

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Figures (1)

Fig. 1
Fig. 1

Schematic of a resonator with reflection.

Equations (16)

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S = [ r 1 r 2 1 r 2 r ] .
a i = b i exp ( j ϕ i ) , i = 1 , 2 .
exp [ j ( ϕ 1 + ϕ 2 ) ] + r [ exp ( j ϕ 2 ) exp ( j ϕ 1 ) ] 1 = 0 .
ϕ 1 + ϕ 2 = 2 π = 2 ω 0 c ( l 1 + l 2 ) .
Δ ω c ( l 1 + l 2 ) = r sin ϕ ,
ϕ = ω 0 c ( l 2 l 1 ) .
d a n d t = j ω n a n .
d a n d t = j ω n a n + j i r i ( c / l ) sin ϕ i a n ,
Δ a ( t ) = j κ | a ( t ) | 2 a ( t ) .
d a n d t = j ω n a n + j i r i ( c / l ) sin ϕ i a n + j s ,
s = κ T R ( a n + 1 * a n ) a n + 1 .
κ P 2 > 2 | r i sin ϕ i | .
κ ( N 1 ) 2 P > 2 | r i sin ϕ i | .
κ P 2 T R τ f > 2 | r i sin ϕ i | .
κ | a n + 1 | 2 τ p T R .
| r i sin ϕ i | < τ p T R .

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