Pattern formation and competition in nonlinear optics

Arecchi, F. T.; Boccaletti, Stefano; Ramazza, P. L.

doi:10.1016/s0370-1573(99)00007-1

Cited by 297 publications

(247 citation statements)

References 350 publications

Supporting

Mentioning

244

Contrasting

Unclassified

Order By: Relevance

“…If the Fresnel number is larger than one, then there arise several transverse modes, represented by photon filaments [44,45]. The effective Fresnel number for each filament is less than one.…”

Section: Atomic Squeezingmentioning

confidence: 99%

Atomic squeezing under collective emission

2004

View full text Add to dashboard Cite

Atomic squeezing is studied for the case of large systems of radiating atoms, when collective effects are well developed. All temporal stages are analyzed, starting with the quantum stage of spontaneous emission, passing through the coherent stage of superradiant emission, and going to the relaxation stage ending with stationary solutions. A method of governing the temporal behaviour of the squeezing factor is suggested. The influence of a squeezed effective vacuum on the characteristics of collective emission is also investigated.

show abstract

Section: Atomic Squeezingmentioning

confidence: 99%

Atomic squeezing under collective emission

2004

View full text Add to dashboard Cite

show abstract

“…This topic has already been reviewed in a number of works [2][3][4][5][6][7][8][9][10]. We treat the problem here by means of a description of the optical resonators by order parameter equations, reflecting the universal properties of optical pattern formation.…”

Section: Introductionmentioning

confidence: 99%

Transverse Patterns in Nonlinear Optical Resonators

Staliūnas

Sánchez‐Morcillo

2003

Springer Tracts in Modern Physics

172

156

View full text Add to dashboard Cite

This book is devoted to the formation and dynamics of localized structures (vortices, solitons) and of extended patterns (stripes, hexagons, tilted waves) in nonlinear optical resonators such as lasers, optical parametric oscillators, and photorefractive oscillators. Theoretical analysis is performed by deriving order parameter equations, and also through numerical integration of microscopic models of the systems under investigation. Experimental observations, and possible technological implementations of transverse optical patterns are also discussed. A comparison with patterns found in other nonlinear systems, i.e. chemical, biological, and hydrodynamical systems, is given.

show abstract

“…As discussed in previous works [52,53], the passive cavity does not operate as a resonant 'phase-sensitive interferometer' [54,55,[83][84][85][86][87][88], and the temporal modes of the cavity do not play any key role in the dynamics of the incoherent wave. The wave circulating in the cavity and the pump wave are thus mutually incoherent with each others, and the boundary conditions are not sensitive to the random relative phase among them:…”

Section: Modelmentioning

confidence: 91%

Weak Langmuir optical turbulence in a fiber cavity

Garnier

Mussot

et al. 2016

Phys. Rev. A

View full text Add to dashboard Cite

We study theoretically and numerically the dynamics of a passive optical fiber ring cavity pumped by a highly incoherent wave -an incoherently injected fiber laser. The theoretical analysis reveals that the turbulent dynamics of the cavity is dominated by the Raman effect. The forced-dissipative nature of the fiber cavity is responsible for a large diversity of turbulent behaviors: Besides nonequilibrium statistical stationary states, we report the formation of a periodic pattern of spectral incoherent solitons, or the formation of different types of spectral singularities, e.g., dispersive shock waves and incoherent spectral collapse behaviors. We derive a mean-field kinetic equation that describes in detail the different turbulent regimes of the cavity and whose structure is formally analogous to the weak Langmuir turbulence kinetic equation in the presence of forcing and damping. A quantitative agreement is obtained between the simulations of the nonlinear Schrödinger equation with cavity boundary conditions and those of the mean-field kinetic equation and the corresponding singular integro-differential reduction, without using adjustable parameters. We discuss the possible realization of a fiber cavity experimental set-up in which the theoretical predictions can be observed and studied.

show abstract

Pattern formation and competition in nonlinear optics

Cited by 297 publications

References 350 publications

Atomic squeezing under collective emission

Atomic squeezing under collective emission

Transverse Patterns in Nonlinear Optical Resonators

Weak Langmuir optical turbulence in a fiber cavity

Contact Info

Product

Resources

About