This article is cited in 3 papers

Nonlinear optical phenomena

Cascade of torus doubling bifurcations in a detuned laser

A. A. Krents^a, N. E. Molevich<sup>b

a</sup> Samara National Research University
^b Samara Branch of P. N. Lebedev Physical Institute, Russian Academy of Sciences

Abstract: 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.

PACS: 42.65.Sf, 42.60.Da

Received: 07.08.2008
Revised: 15.10.2008

 English version: Quantum Electronics, 2009, 39:8, 751–756

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