Dynamics of phase domains in the Swift-Hohenberg equation

Staliūnas, Kęstutis; Sánchez‐Morcillo, Víctor J.

doi:10.1016/s0375-9601(98)00084-x

Cited by 70 publications

(55 citation statements)

References 7 publications

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“…Phase domains and phase (darkring) solitons in a cavity four-wave-mixing experiment. From [115], c 1999 Optical Society of America equation [108]. Systems with a higher order of nonlinearity, such as vectorial Kerr resonators, have also been shown to support phase solitons [109][110][111].…”

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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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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“…3(b). The locking range depends on many parameters, like the α parameter and the carrier diffusion coefficient d. Generally speaking the spatial oscillations of the fields due to domain boundaries (exponentially decaying tails) are responsible for the locking, and with more pronounced oscillations the locking is more efficient, i.e., the existence domain of the phase solitons is larger [29,30].…”

Section: Introductionmentioning

confidence: 99%

“…In the 2D case, this kind of solution is unstable because of the surface tension that affects the dynamics of the phase domains [31]. The surface tension, however, can be either positive or negative for domain walls in a phase-bistable system [30], depending on the off-resonance detuning. We could observe this scenario also in VCSEL with spatial periodic injection, where the detuning parameter θ provides such a control over the surface tension.…”

Section: Introductionmentioning

confidence: 99%

Phase-bistable patterns and cavity solitons induced by spatially periodic injection into vertical-cavity surface-emitting lasers

et al. 2014

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Spatial rocking is a kind of resonant forcing able to convert a self-oscillatory system into a phase-bistable, pattern forming system, whereby the phase of the spatially averaged oscillation field locks to one of two values differing by π . We propose the spatial rocking in an experimentally relevant system-the vertical-cavity surface-emitting laser (VCSEL)-and demonstrate its feasibility through analytical and numerical tools applied to a VCSEL model. We show phase bistability, spatial patterns, such as roll patterns, domain walls, and phase (dark-ring) solitons, which could be useful for optical information storage and processing purposes.

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“…In the case of a quadratic nonlinear interaction patterns have been predicted in OPOs [3][4][5], in degenerate OPOs [6,7], and in second harmonic generation SHG [8][9][10]. Degenerate OPOs are particularly interesting due to the possibility of excitation of phase patterns [11,12], and of phase solitons [13]. Experimentally transverse patterns have been observed for OPOs [14][15][16] and for second harmonic generation [17].…”

Section: Introductionmentioning

confidence: 96%