Abstract

Resonators for Kerr-lens mode-locked lasers are studied with the help of an analytical model, and a new design procedure is presented. The experiments performed with a femtosecond Ti:sapphire laser demonstrate that this model permits an effective resonator design and offers reliable guidelines for the final experimental optimization. With a suitable resonator configuration, self-starting of the Kerr-lens mode-locking regime has been achieved.

© 1994 Optical Society of America

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References

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1993 (5)

1992 (7)

G. W. Pearson, C. Radzewicz, J. S. Krasinski, Opt. Commun. 94, 221 (1992).
[CrossRef]

A. Cybo-Ottone, M. Nisoli, V. Magni, S. De Silvestri, IEEE J. Quantum Electron. 28, 1825 (1992).
[CrossRef]

T. Brabec, Ch. Spielmann, P. F. Curley, F. Krausz, Opt. Lett. 17, 1292 (1992).
[CrossRef] [PubMed]

H. A. Haus, J. G. Fujimoto, E. P. Ippen, IEEE J. Quantum Electron. 28, 2086 (1992).
[CrossRef]

D. Georgiev, J. Herrmann, U. Stamm, Opt. Commun. 92, 368 (1992).
[CrossRef]

F. Krausz, Ch. Spielmann, T. Brabec, E. Wintner, A. J. Schmidt, Opt. Lett. 17, 204 (1992).
[CrossRef] [PubMed]

B. E. Lemoff, C. P. Barty, Opt. Lett. 17, 1367 (1992).
[CrossRef] [PubMed]

1991 (3)

M. Piché, Opt. Commun. 86, 156 (1991).
[CrossRef]

D. E. Spence, P. N. Kean, W. Sibbett, Opt. Lett. 16, 42 (1991).
[CrossRef] [PubMed]

V. Magni, S. De Silvestri, A. Cybo-Ottone, Opt. Commun. 82, 137 (1991).
[CrossRef]

Asaki, M. T.

Barty, C. P.

Brabec, T.

Cerullo, G.

V. Magni, G. Cerullo, S. De Silvestri, Opt. Commun. 96, 348 (1993).
[CrossRef]

V. Magni, G. Cerullo, S. De Silvestri, Opt. Commun. 101, 365 (1993).
[CrossRef]

Curley, P. F.

Cybo-Ottone, A.

A. Cybo-Ottone, M. Nisoli, V. Magni, S. De Silvestri, IEEE J. Quantum Electron. 28, 1825 (1992).
[CrossRef]

V. Magni, S. De Silvestri, A. Cybo-Ottone, Opt. Commun. 82, 137 (1991).
[CrossRef]

De Silvestri, S.

V. Magni, G. Cerullo, S. De Silvestri, Opt. Commun. 101, 365 (1993).
[CrossRef]

V. Magni, G. Cerullo, S. De Silvestri, Opt. Commun. 96, 348 (1993).
[CrossRef]

A. Cybo-Ottone, M. Nisoli, V. Magni, S. De Silvestri, IEEE J. Quantum Electron. 28, 1825 (1992).
[CrossRef]

V. Magni, S. De Silvestri, A. Cybo-Ottone, Opt. Commun. 82, 137 (1991).
[CrossRef]

Fujimoto, J. G.

H. A. Haus, J. G. Fujimoto, E. P. Ippen, IEEE J. Quantum Electron. 28, 2086 (1992).
[CrossRef]

Garvey, D.

Georgiev, D.

D. Georgiev, J. Herrmann, U. Stamm, Opt. Commun. 92, 368 (1992).
[CrossRef]

Haus, H. A.

H. A. Haus, J. G. Fujimoto, E. P. Ippen, IEEE J. Quantum Electron. 28, 2086 (1992).
[CrossRef]

Herrmann, J.

D. Georgiev, J. Herrmann, U. Stamm, Opt. Commun. 92, 368 (1992).
[CrossRef]

Huang, C.

Ippen, E. P.

H. A. Haus, J. G. Fujimoto, E. P. Ippen, IEEE J. Quantum Electron. 28, 2086 (1992).
[CrossRef]

Kapteyn, H. C.

Kean, P. N.

Krasinski, J. S.

G. W. Pearson, C. Radzewicz, J. S. Krasinski, Opt. Commun. 94, 221 (1992).
[CrossRef]

Krausz, F.

Lemoff, B. E.

Magni, V.

V. Magni, G. Cerullo, S. De Silvestri, Opt. Commun. 101, 365 (1993).
[CrossRef]

V. Magni, G. Cerullo, S. De Silvestri, Opt. Commun. 96, 348 (1993).
[CrossRef]

A. Cybo-Ottone, M. Nisoli, V. Magni, S. De Silvestri, IEEE J. Quantum Electron. 28, 1825 (1992).
[CrossRef]

V. Magni, S. De Silvestri, A. Cybo-Ottone, Opt. Commun. 82, 137 (1991).
[CrossRef]

Murnane, M. M.

Nisoli, M.

A. Cybo-Ottone, M. Nisoli, V. Magni, S. De Silvestri, IEEE J. Quantum Electron. 28, 1825 (1992).
[CrossRef]

Pearson, G. W.

G. W. Pearson, C. Radzewicz, J. S. Krasinski, Opt. Commun. 94, 221 (1992).
[CrossRef]

Piché, M.

Radzewicz, C.

G. W. Pearson, C. Radzewicz, J. S. Krasinski, Opt. Commun. 94, 221 (1992).
[CrossRef]

Salin, F.

Schmidt, A. J.

Sibbett, W.

Spence, D. E.

Spielmann, C.

Spielmann, Ch.

Stamm, U.

D. Georgiev, J. Herrmann, U. Stamm, Opt. Commun. 92, 368 (1992).
[CrossRef]

Wintner, E.

Zhou, J.

IEEE J. Quantum Electron. (2)

H. A. Haus, J. G. Fujimoto, E. P. Ippen, IEEE J. Quantum Electron. 28, 2086 (1992).
[CrossRef]

A. Cybo-Ottone, M. Nisoli, V. Magni, S. De Silvestri, IEEE J. Quantum Electron. 28, 1825 (1992).
[CrossRef]

J. Opt. Soc. Am. B (1)

Opt. Commun. (6)

V. Magni, G. Cerullo, S. De Silvestri, Opt. Commun. 96, 348 (1993).
[CrossRef]

V. Magni, G. Cerullo, S. De Silvestri, Opt. Commun. 101, 365 (1993).
[CrossRef]

V. Magni, S. De Silvestri, A. Cybo-Ottone, Opt. Commun. 82, 137 (1991).
[CrossRef]

D. Georgiev, J. Herrmann, U. Stamm, Opt. Commun. 92, 368 (1992).
[CrossRef]

M. Piché, Opt. Commun. 86, 156 (1991).
[CrossRef]

G. W. Pearson, C. Radzewicz, J. S. Krasinski, Opt. Commun. 94, 221 (1992).
[CrossRef]

Opt. Lett. (6)

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Figures (3)

Fig. 1
Fig. 1

(a) Resonator configuration: folding mirrors M3 and M4 have radii of curvature R = 100 mm and incidence angles θ/2 = 14.5°; end mirrors M1 and M2 are flat; the Ti:sapphire rod length is d = 20 mm (refractive index n = 1.76). S1, S2, slits. (b) Matrix representation of the resonator: the matrices describe the propagation from a face of the Ti:sapphire rod to the corresponding end mirrors and back to the rod face; Ti is a propagation corresponding to the Ti:sapphire rod. In the tangential (ξζ) plane the equivalent length of the rod is de = d/n3 and the folding mirrors correspond to a lens with focal length f = [R cos(θ/2)]/2; in the sagittal (ηζ) plane de = d/n and f = R/[2 cos(θ/2)].

Fig. 2
Fig. 2

Contour curves of the small-signal relative spot size variation δ1ξ (parameter of the curves) in the tangential plane of the resonator with L1 = 500 mm and L2 = 1100 mm. Only curves of negative δ1ξ are shown. The filled circles mark the points where KLM has been experimentally achieved. The dashed horizontal lines are the stability limits.

Fig. 3
Fig. 3

Same as in Fig. 2 for the resonator with L1 = 700 mm and L2 = 900 mm.

Equations (3)

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δ = ( 1 w d w d p ) p = 0 ,
δ 1 = - α 1 + α 2 S 2 ( α 1 + α 2 + 2 α 1 α 2 S ) ,
α i = B r i / d e + A r i             ( i = 1 , 2 ) , S = A 0 D 0 + B 0 C 0 ,

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