Investigation of structure of nonlinear transformation phase space and chaotic instabilities in tunable Cr4+:Y3Al5O12 laser

J. J. Broslavez; Alexei A. Fomichev; Vladimir D. Lokhnygin; Oleg O. Silichev

doi:10.1117/12.232220

11 March 1996 Investigation of structure of nonlinear transformation phase space and chaotic instabilities in tunable Cr⁴⁺:Y₃Al₅O₁₂ laser

J. J. Broslavez, Alexei A. Fomichev, Vladimir D. Lokhnygin, Oleg O. Silichev

Author Affiliations +

Proceedings Volume 2777, ALT'95 International Symposium on Advanced Materials for Optics and Optoelectronics; (1996) https://doi.org/10.1117/12.232220
Event: ALT '95 International Conference: Advanced Materials for Optics and Optoelectronics, 1995, Prague, Czech Republic

Abstract

We have investigated theoretically and by computer simulation the formation of ultra-short pulses in our laser system using the idea of description of ultra-short coherent optical pulses as temporal Gaussian beams analogous to complex Ermit-Gaussian beams. We have analyzed the laser system with Kerr lens feedback in the phase trajectory of five-dimensional space: the pulse intensity, the width of the pulse, the 'chirp' of the pulse, the phase-front radius of curvature, and the beam size. The investigation of the structure of the phase space transformation shows that the transformation possess an asymptotically stable stationary point and more complicated structure. The analysis of the solutions in our model reveals that chaotic instabilities can be reached through increasing of nonlinear interaction temporal and spatial Gaussian beam.

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J. J. Broslavez, Alexei A. Fomichev, Vladimir D. Lokhnygin, and Oleg O. Silichev "Investigation of structure of nonlinear transformation phase space and chaotic instabilities in tunable Cr⁴⁺:Y₃Al₅O₁₂ laser", Proc. SPIE 2777, ALT'95 International Symposium on Advanced Materials for Optics and Optoelectronics, (11 March 1996); https://doi.org/10.1117/12.232220

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