Patterns and localized structures in bistable semiconductor resonators

Taranenko, V. B.; Ganne, I.; Kuszelewicz, R.; Weiß, C. O.

doi:10.1103/physreva.61.063818

Cited by 133 publications

(93 citation statements)

References 28 publications

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“…A promising system for practical applications is the vertical cavity surface emission laser (VCSEL), which forms a microresonator with a semiconductor as a nonlinear material. The theoretically predicted patterns for this system [84][85][86][87][88][89] were recently experimentally confirmed in [90].…”

Section: Localized Structures: Vortices and Solitonsmentioning

confidence: 69%

Transverse Patterns in Nonlinear Optical Resonators

Staliūnas

Sánchez‐Morcillo

2003

Springer Tracts in Modern Physics

176

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: 69%

Transverse Patterns in Nonlinear Optical Resonators

Staliūnas

Sánchez‐Morcillo

2003

Springer Tracts in Modern Physics

176

156

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“…Our finding, that individual bright spots of the hexagonal patterns can for certain parameters be "switched off" without apparent effects for the rest of the hexagonal pattern [2], caused a debate about whether such individually switchable "pixels" in a hexagonal pattern have soliton properties and more in general about the nature of these hexagonal patterns. In this article we clarify these questions by interpreting our experimental observations using numerics on a semiconductor resonator model [6].…”

mentioning

confidence: 99%

“…Either by taking ns-snapshots of the illuminated area, or by following the reflected intensity in particular points of the illuminated area as a function of time, using a fast photodiode. Details are given in [2,5]. …”

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confidence: 99%

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From coherent to incoherent hexagonal patterns in semiconductor resonators

2001

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We find that hexagonal structures forming in semiconductor resonators can range from coherent patterns to arrangements of loosely bound spatial solitons, which can be individually switched. Such incoherent arrangements are stabilized by gradient forces, as evidenced by the stability of hexagonal structures with single-or multiple-soliton defects. We interpret the experimental observations by numerical simulations based on a model for a large aperture semiconductor microresonator.PACS 42.65.Sf, 42.65.Pc, 47.54.+r Pattern formation in the form of hexagonal structures was predicted years ago for resonators containing a reactive nonlinearity [1]. We have recently given the first proof of the phenomenon using semiconductor microresonators in the dispersive limit [2]. This kind of pattern formation was regarded as an important precursor of optical soliton formation, the latter being of technical importance for all-optical information processing [3]. We showed the existence of these bright and dark spatial solitons recently [4,5].Our finding, that individual bright spots of the hexagonal patterns can for certain parameters be "switched off" without apparent effects for the rest of the hexagonal pattern [2], caused a debate about whether such individually switchable "pixels" in a hexagonal pattern have soliton properties and more in general about the nature of these hexagonal patterns. In this article we clarify these questions by interpreting our experimental observations using numerics on a semiconductor resonator model [6].For completeness we repeat shortly the experimental arrangement: Light of wavelength near the semiconductor band edge (850 nm), generated by a continuous Ti:Al 2 0 3 -laser, irradiates an area of 50-100 µm diameter of the semiconductor resonator sample, with intensity of up to 3 kW/cm 2 . The sample is a quantum-well stack between Bragg mirrors of 99.7 % reflectivity [7]. The optical resonator length is about 3 µm so that a Fresnel number of several 100 is excited, sufficient for complex structure to form. The light is admitted to the sample for durations of a few µs (through a mechanical chopper, to limit thermal phenomena) repeated every ms.As the substrate, on which the resonator sample is grown, is opaque at the wavelength used, all observations are done in reflection. Either by taking ns-snapshots of the illuminated area, or by following the reflected intensity in particular points of the illuminated area as a function of time, using a fast photodiode. Details are given in [2,5].

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“…In two-dimensional (2D) settings, theoretical prediction of high degree of multistability between structures having different number of peaks was established for driven nonlinear planar cavities [6][7][8][9][10][11]. This prediction has been confirmed by experimental evidence of DLS in various nonlinear optical systems [12][13][14][15][16][17][18][19][20][21][22][23][24][25][26][27]. Transverse optical structures can be either stationary or not.…”

Section: Introductionmentioning

confidence: 89%

Spontaneous motion of localized structures and localized patterns induced by delayed feedback

et al. 2010

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Abstract.We study the properties of 2D dissipative structures in a coherently driven optical resonator subjected to a delayed feedback. It has been predicted that delayed feedback can lead to the spontaneous motion of bright localized structures [M. Tlidi et al., Phys. Rev. Lett. 103, 103904 (2009)]. We study here the phenomenon in detail. In particular, we show that the delayed feedback induces a spontaneous motion of periodic patterns and dark localized structures. We focus our analysis on nascent optical bistability regime where the space time dynamics is described by a variational Swift-Hohenberg equation. In the absence of delayed feedback, dark localized structures and patterns do not move. This behavior occurs when the product of the delay time and the feedback strength exceeds some critical value.

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Patterns and localized structures in bistable semiconductor resonators

Cited by 133 publications

References 28 publications

Transverse Patterns in Nonlinear Optical Resonators

Transverse Patterns in Nonlinear Optical Resonators

From coherent to incoherent hexagonal patterns in semiconductor resonators

Spontaneous motion of localized structures and localized patterns induced by delayed feedback

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