Chaotic dynamics due to competition among degenerate modes in a ring-cavity laser (original) (raw)
Related papers
Chaotic alternation of waves in ring lasers
Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 1999
We intend to give an analytic description of the mechanisms involved in the periodic and chaotic wave alternation frequently observed in ring lasers. A set of amplitude equations is derived from the Maxwell-Bloch equations. These equations are studied analytically and numerically.
Synchronized and unsynchronized chaos in a modulated bidirectional ring laser
Physical Review A, 2007
Regimes of antisynchronized quasiperiodic and synchronized and unsynchronized chaotic oscillations have been observed in a bidirectional solid-state ring laser with modulated pump and are chracterized in terms of the maximum Lyapunov exponent. The results can be understood in terms of the coupled dynamics of two counterpropagating modes of a ring laser coupled to atomic population inversion.
Experimental route to chaos of an external-cavity semiconductor laser
Physical Review A, 2015
We report experimental bifurcation diagrams of a semiconductor laser, biased well above threshold, subjected to external optical feedback. As feedback is increased, we see a quasiperiodic route to chaos interrupted by several windows of periodicity corresponding to limit cycles, differing in frequency by multiples of the external-cavity free-spectral range that have developed around external-cavity modes (ECMs) whose frequency is slightly larger than that of the solitary laser. Successive windows correspond to the transition between two limit cycles either on the same or neighboring ECMs. For larger feedback, the laser operates in a chaotic regime around numerous negatively shifted external-cavity modes. These experimental observations detail the bifurcations leading to fully developed chaos in this system, and further provide detailed insight on the standard theoretical framework applied to these lasers.
Chaos, 2018
We observe experimentally two regimes of intermittency on the route to chaos of a semiconductor laser subjected to optical feedback from a long external cavity as the feedback level is increased. The first regime encountered corresponds to multistate intermittency involving two or three states composed of several combinations of periodic, quasiperiodic, and subharmonic dynamics. The second regime is observed for larger feedback levels and involves intermittency between perioddoubled and chaotic regimes. This latter type of intermittency displays statistical properties similar to those of on-off intermittency.
Route to Chaos in a Ring of Three Unidirectionally-Coupled Semiconductor Lasers
IEEE Photonics Technology Letters, 2012
Complex dynamics of a ring of three unidirectionally-coupled semiconductor lasers are studied with respect to the coupling strength. While uncoupled, the lasers stay in a continuous-wave regime; they begin to oscillate as the coupling strength reaches a certain threshold value. When the coupling further increases, the dynamics exhibit a route to chaos via a sequence of Hopf bifurcations resulting in periodic, quasiperiodic, and chaotic oscillations. In the chaotic range, different synchronization states, ranging from asynchronous behavior to phase and near synchronization, are observed. The analytical solution yields a large number of fixed points.
Uniqueness of the chaotic attractor of a single-mode laser
Physical Review A, 1994
Measurements on an optically pumped NH3 single-mode laser show three different types of chaotic dynamics, Lorentz-type spiral chaos, period-doubling chaos, and type-III intermittency. Analysis of the measurements shows that the peak-intensity return maps of these three types of dynamics have the same shape, indicating that a unique attractor exists for the laser whose topological structure is independent of laser parameters.
Chaotic dynamics of an optically pumped NH_3 multitransverse-mode ring laser
Journal of the Optical Society of America B, 1996
We have experimentally studied the dynamics of an optically pumped NH 3 multitransverse-mode ring laser. We show that, because of the nonlinear interaction of transverse modes, the laser intensity output can be periodic, quasi-periodic, or chaotic. Depending on which transverse modes were involved in the interaction, two kinds of routes to chaos were observed in the laser. When four transverse modes interact, quasi-periodic chaos is found, whereas in the case when just two transverse modes with small frequency separation interact a period-doubling route to chaos at the mode beat frequency is observed. Metric properties of observed chaotic attractors were calculated.
Physical Review E, 2004
We investigated chaotic dynamics in a microchip three-mode solid-state laser subjected to frequency-shifted optical feedback. When the frequency shift was tuned to harmonic frequencies of the relaxation oscillation, a bifurcation from a periodic sustained relaxation oscillation ("soft-mode") state to a chaotic spiking ("hardmode") state via a chaotic itinerancy was observed as the feedback intensity was increased. Dynamic characterizations of modal interplay and self-induced switching between the soft-and hard-mode chaotic states over times (i.e., chaotic itinerancy) were carried out by the information circulation analysis and joint time-frequency analysis of long-term experimental time series. Drastic changes in information transfer rates among oscillating modes and occasional frequency locking among periodicities of two chaotic states associated with switchings were identi ed in chaotic itinerancy. Essential dynamical behaviors were reproduced by numerical simulation.
Collective chaos synchronization of pairs of modes in a chaotic three-mode laser
Chaos: An Interdisciplinary Journal of Nonlinear Science, 2002
We study chaos synchronization experimentally in a modulated globally coupled three-mode laser with different modal gains subjected to self-mixing Doppler-shifted feedback, which can apply the loss modulation to individual modes at Doppler-shift frequencies. Depending on the pump power, different forms of collective chaos synchronizations were found to appear when the laser was modulated at the highest relaxation oscillation frequency, reflecting the change in cross-saturation coefficient among modes. In the present experiment, each pair of modes exhibited phase, lag, or generalized synchronization collectively according to the inherent antiphase dynamics, where these types of synchronization have already been demonstrated in two coupled chaotic oscillators in different physical systems. Information flows among oscillating modes which are established in different forms of collective chaos synchronizations were characterized by information-circulation analysis of the experimental tim...