Abstract

We present results of a three-dimensional model of a Kerr-lens mode-locked titanium-doped sapphire laser in the sub-10-fs regime of operation. We find that space–time focusing of the pulse within the laser crystal imposes a limitation on the pulse duration as a function of the crystal length. Thus good compensation of the net group-velocity dispersion of the cavity is not sufficient for successful sub-10-fs operation of the laser. The dependence of the pulse duration on the intracavity dispersion is also presented, which demonstrates that pulses as short as 6 fs can be generated directly from the laser.

© 1996 Optical Society of America

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References

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1996

1995

1994

1992

1991

1990

I. P. Christov, Opt. Quantum. Electron. 22, 473 (1990).
[CrossRef]

1987

1984

Agrawal, G. P.

G. P. Agrawal, Nonlinear Fiber Optics (Academic, New York, 1989), p. 101.

Backer, P. C.

Brabec, T.

Brito Cruz, C. H.

Christov, I. P.

Cundiff, S. T.

Fork, R. L.

Gordon, J. P.

Haus, H. A.

Huang, C. P.

Ippen, E. P.

Kapteyn, H. C.

Kean, P. N.

Knox, W. H.

Krausz, F.

Lenzner, M.

Martinez, O. E.

Murnane, M. M.

Shank, C. V.

Sibbett, W.

Spence, D. E.

Spielmann, C.

Stingl, A.

Stoev, V. D.

Szipocs, R.

Taft, G.

Zhou, J.

Zhou, J. P.

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Figures (4)

Fig. 1
Fig. 1

Schematic of the resonator: M1, M4, flat mirrors; M2, M3, curved mirrors with a focal length f = 3.5 cm; C, laser crystal; D, dispersion control. The distances are ab = 58.8 cm, bc = 3.44 cm, cd = 0.23 cm or cd = 0.115 cm, de = 3.43 cm, and ef = 101 cm. + or − denotes the sign of the pulse chirp.

Fig. 2
Fig. 2

(a) Pulse width versus the position in the laser crystal for crystal lengths 0.23 and 0.115 cm, (b) beam sizes versus the position in the laser crystal (solid curves) and a mode of the linear cavity (dotted curve) for the same crystals as in (a).

Fig. 3
Fig. 3

Laser spectra in steady state for crystal lengths 0.115 cm (solid curve) and 0.23 cm (dotted curve), and equal net GVD (= −2 fs2) and aperture. (b) Spectral dependence of the beam size on face d of the laser crystal: solid curve, 0.115-cm crystal; dotted curve, 0.23-cm crystal.

Fig. 4
Fig. 4

Dependence of the pulse duration on the net intracavity GVD for a thin crystal (0.115 cm). The pulse energy is 7.5 nJ.

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