Unfolding of the period-two bifurcation in a fiber laser pumped with two modulation tones | Zendy

T.C. Newell | Zendy; A. Gavrielides | Zendy; Vassilios Kovanis | Zendy; David W. Sukow | Zendy; Thomas Erneux | Zendy; Scott Glasgow | Zendy

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Unfolding of the period-two bifurcation in a fiber laser pumped with two modulation tones

Author(s) -

T.C. Newell,

A. Gavrielides,

Vassilios Kovanis,

David W. Sukow,

Thomas Erneux,

Scott Glasgow

Publication year - 1997

Publication title -

physical review. e, statistical physics, plasmas, fluids, and related interdisciplinary topics

Language(s) - English

Resource type - Journals

eISSN - 1095-3787

pISSN - 1063-651X

DOI - 10.1103/physreve.56.7223

Subject(s) - bifurcation , attractor , bifurcation diagram , physics , modulation (music) , scaling , period (music) , laser , fiber laser , period doubling bifurcation , optics , mechanics , quantum mechanics , nonlinear system , mathematical analysis , mathematics , geometry , acoustics

~Received 20 January 1997! The effect of a small second frequency component on a pump modulated neodymium fiber laser is investigated experimentally and theoretically. This term, whose frequency is exactly half the primary driver, incites an unfolding of the attractor. It breaks the period two pitchfork bifurcation and splits the period one orbit. The modification of the bifurcation diagram is studied analytically by employing a map derived from the class B laser rate equations. We determine specific conditions and scaling laws for this phenomenon. Our analytical predictions are in good agreement with recorded experimental data. @S1063-651X~97!02307-6#

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