Abstract

A spatio-temporal model of a self-mode-locked laser is presented. It uses a full wave-optics approximation of the propagation in the laser resonator and includes dispersion, self-phase modulation, and self-focusing of the intracavity radiation. It is shown that the self-consistent evolution of the pulse toward steady state imposes strong space time focusing in the crystal, where both the space and time foci are located. This combined focusing is inherent for Kerr-lens mode-locked lasers with linear and ring cavities, and with and without intracavity saturable absorbers. It is considered as a general mechanism for compensation of space time astigmatism within the nonlinear resonator. The predictions of the model agree very well with the experiment. 1998 Optical Society of America S0740-3224(98)03407-9

[Optical Society of America ]

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Other (28)

M. Piche , Opt. Commun. OPCOB8 86 , 156 ( 1991

H. A. Haus , J. Appl. Phys. JAPIAU 46 , 3049 ( 1975

H. A. Haus and M. N. Islam , IEEE J. Quantum Electron. IEJQA7 QE-21 , 1172 ( 1985

H. A. Haus , J. G. Fujimoto , and E. P. Ippen , IEEE J. Quantum Electron. IEJQA7 28 , 2086 ( 1992

G. W. Pearson , C. Radzewicz , and J. S. Krasinski , Opt. Commun. OPCOB8 94 , 221 ( 1992

I. P. Christov , Opt. Commun. OPCOB8 53 , 364 ( 1985

F. Salin , P. Grangier , G. Roger , and A. Brun , Phys. Rev. Lett. PRLTAO 56 , 1132 ( 1986

P. F. Curley , Ch. Spielman , T. Brabec , E. Wintner , and F. Krausz , J. Opt. Soc. Am. B JOBPDE 10 , 1025 ( 1993

J. Herrmann , J. Opt. Soc. Am. B JOBPDE 11 , 498 ( 1994

O. E. Martinez , R. L. Fork , and J. P. Gordon , Opt. Lett. OPLEDP 9 , 156 ( 1984

J. A. Valdmanis , R. L. Fork , and J. P. Gordon , Opt. Lett. OPLEDP 10 , 131 ( 1985

K. L. Blow and B. P. Nelson , Opt. Lett. OPLEDP 13 , 1026 ( 1988

P. N. Kean , X. Zhu , D. W. Crust , R. S. Grant , N. Langford , and W. Sibbett , Opt. Lett. OPLEDP 14 , 39 ( 1989

D. E. Spence , P. N. Kean , and W. Sibbett , Opt. Lett. OPLEDP 16 , 42 ( 1991

T. Brabec , Ch. Spielman , and F. Krausz , Opt. Lett. OPLEDP 16 , 1961 ( 1991

D. R. Heatley , A. M. Dunlop , and W. J. Firth , Opt. Lett. OPLEDP 18 , 170 ( 1993

T. Tsang , Opt. Lett. OPLEDP 18 , 293 ( 1993

J. Zhou , G. Taft , C.-P. Huang , M. Murnane , H. Kapteyn , and I. P. Christov , Opt. Lett. OPLEDP 19 , 1149 ( 1994

I. P. Christov , M. M. Murnane , H. C. Kapteyn , J. Zhou , and C.-P. Huang , Opt. Lett. OPLEDP 19 , 1465 ( 1994

V. Magni , G. Cerullo , S. De Silvestri , and A. Monguzzi , J. Opt. Soc. Am. B JOBPDE 12 , 476 ( 1995

F. X. Ka rtner and U. Keller , Opt. Lett. OPLEDP 20 , 16 ( 1995

I. P. Christov , H. C. Kapteyn , M. M. Murnane , C.-P. Huang , and J. Zhou , Opt. Lett. OPLEDP 20 , 309 ( 1995

A. Stingl , M. Lenzner , Ch. Spielman , F. Krausz , and R. Szipo cs , Opt. Lett. OPLEDP 20 , 602 ( 1995

I. P. Christov , V. D. Stoev , M. M. Murnane , and H. C. Kapteyn , Opt. Lett. OPLEDP 20 , 2111 ( 1995

I. D. Jung , F. X. Kartner , N. Matuschek , D. H. Sutter , F. Morier-Genoud , G. Zhang , U. Keller , V. Scheuer , M. Tilsch , and T. Tschudi , Opt. Lett. OPLEDP 22 , 1009 ( 1997

S. T. Cundiff , W. H. Knox , E. P. Ippen , and H. A. Haus , Opt. Lett. OPLEDP 21 , 662 ( 1996

I. P. Christov , V. D. Stoev , M. M. Murnane , and H. C. Kapteyn , Opt. Lett. OPLEDP 21 , 1493 ( 1996

F. Salin , J. Squier , and M. Piche , Opt. Lett. OPLEDP 16 , 1674 ( 1991

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