Regular and chaotic behaviour of multimode gas lasers

Brunner, W.; Paul, H.

doi:10.1007/bf00620237

Cited by 21 publications

(11 citation statements)

References 12 publications

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“…It is clear that in this approximation the combination tone terms in (24) will disappear due to the averaging over the phases. However, since the beginning [26,28] (and later also confirmed by detailed numerical investigations [48]) it has been known that this regime holds as far as beating between modes, due to the mode combination tones, are negligible; and this is valid if a few modes with nonoverlapping resonances are excited. Conversely, the mode combination terms are known to be responsible of "mode locking" processes, that in standard laser provide a fruitful approach to the generation of ultra-short pulses [42,44].…”

Section: Nonlinear Susceptibility and Mode Interactions In Activmentioning

confidence: 76%

Glassy behavior of light in random lasers

et al. 2006

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A theoretical analysis [Angelani et al., Phys. Rev. Lett. 96, 065702 (2006)] predicts glassy behavior of light in a nonlinear random medium. This implies slow dynamics related to the presence of many metastable states. We consider very general equations (that also apply to other systems, like Bose-Condensed gases) describing light in a disordered non-linear medium and through some approximations we relate them to a mean-field spin-glass-like model. The model is solved by the replica method, and replica-symmetry breaking phase transition is predicted. The transition describes a mode-locking process in which the phases of the modes are locked to random (history and sample-dependent) values. An extended discussion of possible experimental implications of our analysis is reported.

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Section: Nonlinear Susceptibility and Mode Interactions In Activmentioning

confidence: 76%

Glassy behavior of light in random lasers

et al. 2006

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“…For the mode-locking transition one can limit to consider the phase dynamics. Indeed ML entails the passage from a regime in which the mode-phases are independent and rapidly varying ("free-run" regime or "paramagnetic phase" in the following) [25] on times scales of the order of 10 fs [28], to a regime in which they are all locked at the same values ("ferromagnetic phase"). In correspondence of this transition the laser output switches from a continuous wave noisy emission to an highly modulated signal (which is a regular train of short-pulses for equi-spaced resonances).…”

Section: Multi-mode Laser Equationsmentioning

confidence: 99%

Mode-locking transitions in nanostructured weakly disordered lasers

et al. 2007

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We report on a statistical approach to mode-locking transitions of nano-structured laser cavities characterized by an enhanced density of states. We show that the equations for the interacting modes can be mapped onto a statistical model exhibiting a first order thermodynamic transition, with the average mode-energy playing the role of inverse temperature. The transition corresponds to a phase-locking of modes. Extended modes lead to a mean-field like model, while in presence of localized modes, as due to a small disorder, the model has short range interactions. We show that simple scaling arguments lead to observable differences between transitions involving extended modes and those involving localized modes. We also show that the dynamics of the light modes can be exactly solved, predicting a jump in the relaxation time of the coherence functions at the transition. Finally, we link the thermodynamic transition to a topological singularity of the phase space, as previously reported for similar models.

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“…We follow the treatment by Brunner and Paul [6] with a little improvement. In usual Ar-ion lasers, a strong magnetic field causes large Zeeman splittings, comparable to the Doppler broadening.…”

Section: Theorymentioning

confidence: 99%

“…Therefore, the gain profile given in Ref. [6] is safely employed with a slight modification, and the expression including the influence of Zeeman splittings can be written by the superposition of two Doppler-broadened lines. The peak value of gain is normalized to the gain parameter g/ir, where~represents the cavity loss.…”

Section: Theorymentioning

confidence: 99%

Intensity correlations of multimode gas lasers

Kinoshita

Aoki

1992

Phys. Rev. A

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We investigated the intensity correlation of a multimode Ar-ion laser. By the measurement of mode spectra and correlation times 20 -30 simultaneously lasing modes, it was found that the behaviors of mode fluctuations are largely different between modes away from the center of a lasing line and modes near the center. These characteristics can be explained by the fluctuations caused by mode-mode coupling. Using third-order laser theory, we derived numerically the characteristics observed. We discuss the fitting curves of the correlation functions and the limit of the classical treatment.

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Regular and chaotic behaviour of multimode gas lasers

Cited by 21 publications

References 12 publications

Glassy behavior of light in random lasers

Glassy behavior of light in random lasers

Mode-locking transitions in nanostructured weakly disordered lasers

Intensity correlations of multimode gas lasers

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