Stability and bifurcations in Kerr - lens mode - locked Ti:Sapphire lasers

MARCELO KOVALSKY; ALEJANDRO HNILO.

OPTICS COMMUNICATIONS

Año: 2000 vol. 186 p. 155 - 166

0030-4018

Kerr-lens or self-mode-locked Ti:sapphire lasers are known to display several modes of operation, depending on the values taken by the systemÕs parameters. The basic observed modes of operation are: continuous wave, mode locking with transform limited pulses, and mode locking with chirped pulses. These modes are naturally obtained from a description based on an iterative or Poincare map of ®ve pulse variables (beam size curvature, pulse duration, chirp and energy). The stability of these modes is obtained for an experimentally accessible range of the parameters. The theoretical predictions agree qualitatively with the experimental observations. For a particular bifurcation, we study the feasibility of an approximate description of the (®ve variables) dynamics with a one-variable map, which results in the logistic map. Ó 2000 Elsevier Science B.V. All rights reserved. energy). The stability of these modes is obtained for an experimentally accessible range of the parameters. The theoretical predictions agree qualitatively with the experimental observations. For a particular bifurcation, we study the feasibility of an approximate description of the (®ve variables) dynamics with a one-variable map, which results in the logistic map. Ó 2000 Elsevier Science B.V. All rights reserved. with transform limited pulses, and mode locking with chirped pulses. These modes are naturally obtained from a description based on an iterative or Poincare map of ®ve pulse variables (beam size curvature, pulse duration, chirp and energy). The stability of these modes is obtained for an experimentally accessible range of the parameters. The theoretical predictions agree qualitatively with the experimental observations. For a particular bifurcation, we study the feasibility of an approximate description of the (®ve variables) dynamics with a one-variable map, which results in the logistic map. Ó 2000 Elsevier Science B.V. All rights reserved. energy). The stability of these modes is obtained for an experimentally accessible range of the parameters. The theoretical predictions agree qualitatively with the experimental observations. For a particular bifurcation, we study the feasibility of an approximate description of the (®ve variables) dynamics with a one-variable map, which results in the logistic map. Ó 2000 Elsevier Science B.V. All rights reserved. Õs parameters. The basic observed modes of operation are: continuous wave, mode locking with transform limited pulses, and mode locking with chirped pulses. These modes are naturally obtained from a description based on an iterative or Poincare map of ®ve pulse variables (beam size curvature, pulse duration, chirp and energy). The stability of these modes is obtained for an experimentally accessible range of the parameters. The theoretical predictions agree qualitatively with the experimental observations. For a particular bifurcation, we study the feasibility of an approximate description of the (®ve variables) dynamics with a one-variable map, which results in the logistic map. Ó 2000 Elsevier Science B.V. All rights reserved. energy). The stability of these modes is obtained for an experimentally accessible range of the parameters. The theoretical predictions agree qualitatively with the experimental observations. For a particular bifurcation, we study the feasibility of an approximate description of the (®ve variables) dynamics with a one-variable map, which results in the logistic map. Ó 2000 Elsevier Science B.V. All rights reserved. e map of ®ve pulse variables (beam size curvature, pulse duration, chirp and energy). The stability of these modes is obtained for an experimentally accessible range of the parameters. The theoretical predictions agree qualitatively with the experimental observations. For a particular bifurcation, we study the feasibility of an approximate description of the (®ve variables) dynamics with a one-variable map, which results in the logistic map. Ó 2000 Elsevier Science B.V. All rights reserved.Ó 2000 Elsevier Science B.V. All rights reserved.