I Transverse Patternsin Wide-Aperture Nonlinear Optical Systems

Rosanov, N. N.

doi:10.1016/s0079-6638(08)70527-4

Cited by 90 publications

(53 citation statements)

References 79 publications

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“…Spontaneous pattern formation is a widespread consequence of nonlinearity in spatially-extended systems driven out of equilibrium (Cross and Hohenberg, 1993), and has been predicted and/or observed in a wide variety of systems, including fluid dynamics (Manneville, 1990), chemistry (Ross et al, 1988), biology (Murray, 2003), ferro-fluids (Richter and Barashenkov, 2005), gas discharges (Müller et al, 1999), granular media (Umbanhowar et al, 1996) and optics (McLaughlin et al (1983); Lugiato and Lefever (1987); Abraham and Firth (1990); Lugiato et al (1994); Neubecker (1996); Rosanov (1996); Lugiato et al (1999); Arecchi et al (1999); ; Firth and Weiss (2002); Rosanov (2002); Oppo (2009)). …”

Section: Basic Definitions and Scopementioning

confidence: 99%

Chapter 6 Fundamentals and Applications of Spatial Dissipative Solitons in Photonic Devices

Ackemann

Firth

Oppo

2009

Advances in Atomic, Molecular, and Optical Physics

212

184

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We review the properties of optical spatial dissipative solitons (SDS). These are stable, self-localized optical excitations sitting on a uniform, or quasi-uniform, background in a dissipative environment like a nonlinear optical cavity. Indeed in optics they are often termed 'cavity solitons'. We discuss their dynamics and interactions in both ideal and imperfect systems, making comparison with experiments. SDS in lasers offer important advantages for applications. We review candidate schemes and the tremendous recent progress in semiconductor-based cavity soliton lasers. We examine SDS in periodic structures, and we show how SDS can be quantitatively related to the locking of fronts. We conclude with an assessment of potential applications of SDS in photonics, arguing that best use of their particular features is made by exploiting their mobility, e.g. in all-optical delay lines.

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Section: Basic Definitions and Scopementioning

confidence: 99%

Chapter 6 Fundamentals and Applications of Spatial Dissipative Solitons in Photonic Devices

Ackemann

Firth

Oppo

2009

Advances in Atomic, Molecular, and Optical Physics

212

184

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“…Cavity solitons can be classified into two main categories: amplitude (bright and dark) solitons, and phase (dark-ring) solitons. Investigations of the formation of bright localized structures began with early work on bistable lasers containing a saturable absorber [63,64] and on passive nonlinear resonators [65].…”

Section: Localized Structures: Vortices and Solitonsmentioning

confidence: 99%

Transverse Patterns in Nonlinear Optical Resonators

Staliūnas

Sánchez‐Morcillo

2003

Springer Tracts in Modern Physics

175

156

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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.

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“…More specifically, we will determine the Maxwell curve, where localized patterns are restricted to exist in first approximation [45]. This curve was so named in reference to Maxwell's construction of the coexistence curve between two phases in thermodynamics [46][47][48].…”

Section: Introductionmentioning

confidence: 99%

Localized Turing patterns in nonlinear optical cavities

Kozyreff

2012

Physica D: Nonlinear Phenomena

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The subcritical Turing instability is studied in two classes of models for laser-driven nonlinear optical cavities. In the first class of models, the nonlinearity is purely absorptive, with arbitrary intensity-dependent losses. In the second class, the refractive index is real and is an arbitrary function of the intra-cavity intensity. Through a weakly nonlinear analysis, a Ginzburg-Landau equation with quintic nonlinearity is derived. Thus, the Maxwell curve, which marks the existence of localized patterns in parameter space, is determined. In the particular case of the Lugiato-Lefever model, the analysis is continued to seventh order, yielding a refined formula for the Maxwell curve and the theoretical curve is compared with recent numerical simulation by Gomilà, Firth, and Scroggie [Physica D 227, 70 (2007).]

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I Transverse Patternsin Wide-Aperture Nonlinear Optical Systems

Cited by 90 publications

References 79 publications

Chapter 6 Fundamentals and Applications of Spatial Dissipative Solitons in Photonic Devices

Chapter 6 Fundamentals and Applications of Spatial Dissipative Solitons in Photonic Devices

Transverse Patterns in Nonlinear Optical Resonators

Localized Turing patterns in nonlinear optical cavities

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