Localized structures in degenerate optical parametric oscillators

Staliūnas, Kęstutis; Sánchez‐Morcillo, Víctor J.

doi:10.1016/s0030-4018(97)00109-0

Cited by 114 publications

(60 citation statements)

References 8 publications

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“…They have been reported for a great variety of passive nonlinear optical resonators, such as degenerate [66][67][68] and nondegenerate [69,70] optical parametric oscillators, and for secondharmonic generation [71][72][73] (Fig. 1.2), where the bistability was related to the existence of a nonlinear resonance [37].…”

Section: Localized Structures: Vortices and Solitonsmentioning

confidence: 92%

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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Section: Localized Structures: Vortices and Solitonsmentioning

confidence: 92%

Transverse Patterns in Nonlinear Optical Resonators

Staliūnas

Sánchez‐Morcillo

2003

Springer Tracts in Modern Physics

175

156

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“…For example, Turing patterns in optics are possible even when 1 0 a a < , which is not possible in the chemical analogue. In fact, hexagonal patterns for 2 / 1 = a and positive detuning were predicted before [18][19][20], although their origin was not related to the Turing mechanism described in this paper.…”

Section: E E >>mentioning

confidence: 61%

Turing Patterns in Nonlinear Optics

2003

Springer Tracts in Modern Physics

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The phenomenon of pattern formation in nonlinear optical resonators is commonly related to an off-resonance excitation mechanism, where patterns occur due to mismatch between the excitation and resonance frequency. In this paper we show that the patterns in nonlinear optics can also occur due to the interplay between diffractions of coupled field components. The reported mechanism is analogous to that of local activation and lateral inhibition found in reaction-diffusion systems by Turing. We study concretely the degenerate optical parametric oscillators. A local activator-lateral inhibitor mechanism is responsible for generation of Turing patterns in form of hexagons. 42.65.Yj

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“…It may be mentioned that in resonators with phasesensitive gain, such as gain supplied by 4-wave-mixing or degenerate parametric mixing, solitons which concern only the phase structure of the field (phase-solitons) were predicted [17] and experimentally observed [18]. See FIG.…”

Section: Proof Of Existence Experiments Of Resonator Solitons Witmentioning

confidence: 99%

“…It has a real (refractive) and imaginary (dissipative) part and can act longitudinally and transversely. The nonlinear changes of the resonator finesse (due to nonlinear absorption change) and length (due to nonlinear refractive index change) constitute longitudinal nonlinear effects, also known under the name nonlinear resonance [17]. The transverse effects of the nonlinear refractive index can be self-focusing (favorable for bright and unfavorable for dark solitons) and self-defocusing (favorable for dark and unfavorable for bright solitons).…”

Section: A Model and Numerical Analysismentioning

confidence: 99%

Spatial resonator solitons

Taranenko

Šlekys

Weiß

2003

Chaos: An Interdisciplinary Journal of Nonlinear Science

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Spatial solitons can exist in various kinds of nonlinear optical resonators with and without amplification. In the past years different types of these localized structures such as vortices, bright, dark solitons and phase solitons have been experimentally shown to exist. Many links appear to exist to fields different from optics, such as fluids, phase transitions or particle physics. These spatial resonator solitons are bistable and due to their mobility suggest schemes of information processing not possible with the fixed bistable elements forming the basic ingredient of traditional electronic processing. The recent demonstration of existence and manipulation of spatial solitons in semiconductor microresonators represents a step in the direction of such optical parallel processing applications. We review pattern formation and solitons in a general context, show some proof of principle soliton experiments on slow systems, and describe in more detail the experiments on semiconductor resonator solitons which are aimed at applications. PACS 42.65. Tg, 47.54.+r, 42.65.Sf

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Localized structures in degenerate optical parametric oscillators

Cited by 114 publications

References 8 publications

Transverse Patterns in Nonlinear Optical Resonators

Transverse Patterns in Nonlinear Optical Resonators

Turing Patterns in Nonlinear Optics

Spatial resonator solitons

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