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Journal ArticleDOI

Cooperative frequency locking and stationary spatial structures in lasers

TLDR
In this paper, the spontaneous emergence of transverse patterns in lasers was investigated by using both the standard two-level model and the so-called cubic approximation, which is generally valid in the threshold regions.
Abstract
We investigate the spontaneous emergence of transverse patterns in lasers by using both the standard two-level model and the so-called cubic approximation, which is generally valid in the threshold regions. The stationary intensity configurations fall into two distinct classes. The first includes solutions of the single-mode type with the frequency and spatial structure of one of the transverse resonances. The solutions of the second group involve the simultaneous oscillation of several cavity modes, operating in such a way as to produce a stationary intensity profile. The stationary character of these multimode configurations emerges from the fact that the transverse modes of the resonator lock onto a common frequency during the nonlinear transient. We call this phenomenon cooperative frequency locking.

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Citations
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Journal ArticleDOI

Generation of optical phase singularities by computer-generated holograms.

TL;DR: Laser beams that contain phase singularities can be generated with computer-generated holograms, which in the simplest case have the form of spiral Fresnel zone plates.
Journal ArticleDOI

Pattern formation and competition in nonlinear optics

TL;DR: In this paper, a review of different experimental situations is presented, including a discussion on suitable indicators which characterize the different regimes, and a view on perspective new phenomena and applications include an extension to atom optics.
Journal ArticleDOI

Bistability and optical switching of spatial patterns in a laser

TL;DR: In this paper, the transverse configuration of the optical field was found for a helium-neon laser oscillating in the TEM01* hybrid optical-resonator mode.
Journal ArticleDOI

Overview of transverse effects in nonlinear-optical systems

TL;DR: In this paper, the authors provide an overview of transverse effects in nonlinear-optical systems, including self-focusing, filamentation, modulational instabilities, spontaneous pattern formation and symmetry breaking, nonlinear waveguiding and transverse mode excitation.
Book ChapterDOI

Optical Pattern Formation

TL;DR: The field of optical pattern formation (OPF) studies the spatial and spatio-temporal phenomena that arise in the structure of electromagnetic field in the planes orthogonal with respect to the direction of propagation as mentioned in this paper.
References
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Journal ArticleDOI

The Chemical Basis of Morphogenesis

TL;DR: In this article, it is suggested that a system of chemical substances, called morphogens, reacting together and diffusing through a tissue, is adequate to account for the main phenomena of morphogenesis.
Journal ArticleDOI

Spatial dissipative structures in passive optical systems

TL;DR: Under suitable conditions, diffraction gives rise to an instability which leads to the emergence of a stationary spatial dissipative structure in the transverse profile of the transmitted beam.
Journal ArticleDOI

A Pre-pattern formation mechanism for animal coat markings

TL;DR: It is proposed that a reaction-diffusion system which can be diffusively driven unstable could be responsible for the laying down of the pre-pattern for animal coat markings and shows that the geometry and scale of the domain, the relevant part of the integument, during the time of laying down plays a crucial role in the structural patterns which result.
Journal ArticleDOI

New class of instabilities in passive optical cavities.

TL;DR: It is established that, for a large class of nonlinear waves, spatial structure is inevitable and drastically alters the route to chaos and the period-doubling cascade is an unlikely scenario for transition to optical chaos.
Journal ArticleDOI

Influence of detuning on the properties of laser equations

TL;DR: In this paper, the authors studied the properties of the laser at and beyond the second threshold in the bad-cavity case and showed that the position of the second threshold depends on the excitation mechanism.
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