Cascade of torus doubling bifurcations in a detuned laser

Journal Article · Mon Aug 31 00:00:00 EDT 2009 · Quantum Electronics (Woodbury, N.Y.)

DOI:https://doi.org/10.1070/QE2009V039N08ABEH013960· OSTI ID:21471116

Krents, A A ^[1]; Molevich, N E ^[2]

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1. S.P. Korolev Samara State Aerospace University, Samara (Russian Federation)
2. Samara Branch of the P.N. Lebedev Physical Institute, Russian Academy of Sciences, Samara (Russian Federation)

By using a simplified system of Maxwell-Bloch equations (with the adiabatically excluded polarisation of the medium), we studied the processes proceeding in the cross section of a light wave propagating in a wide-aperture laser emitting at the frequency detuned from the transition-line centre. It is shown that in the model under study the passage to the chaotic regime during a change in the wave propagation velocity across the aperture occurs via the doubling bifurcations of an ergodic two-dimensional torus. The spectrum of Lyapunov exponents is found and it is established that at bifurcation points a structurally unstable three-dimensional torus is produced, which gives rise to a stable doubled ergodic torus. (nonlinear optical phenomena)

• OSTI ID: 21471116
• Journal Information: Quantum Electronics (Woodbury, N.Y.), Journal Name: Quantum Electronics (Woodbury, N.Y.) Journal Issue: 8 Vol. 39; ISSN 1063-7818
• Country of Publication: United States
• Language: English

Related Subjects

70 PLASMA PHYSICS AND FUSION TECHNOLOGY
97 MATHEMATICS AND COMPUTING
APERTURES
BIFURCATION
BLOCH EQUATIONS
CALCULATION METHODS
CHAOS THEORY
CROSS SECTIONS
ELECTROMAGNETIC RADIATION
EQUATIONS
LASERS
LYAPUNOV METHOD
MATHEMATICS
OPENINGS
POLARIZATION
RADIATIONS
SPECTRA
THREE-DIMENSIONAL CALCULATIONS
TWO-DIMENSIONAL CALCULATIONS
VISIBLE RADIATION
WAVE PROPAGATION