Pattern formation in a liquid-crystal light valve with feedback, including polarization, saturation, and internal threshold effects

Neubecker, R.; Oppo, Gian-Luca; Thuering, Bernd; Tschudi, Τ.

doi:10.1103/physreva.52.791

Cited by 127 publications

(91 citation statements)

References 25 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…It is already known that, in the simultaneous presence of bistability and pattern forming diffractive feedback, the LCLV system shows localized structures [12,23,24,25]. Recently, rotation of localized structures along concentric rings have been reported in the case of a rotation angle introduced in the feedback loop [26].…”

Section: Pacsmentioning

confidence: 99%

“…Pacs: 05.45.-a, 42.65.Sf, 47.54.+r During the last years localized structures have been observed in different fields, such as domains in magnetic materials [1], chiral bubbles in liquid crystals [2], current filaments in gas discharge experiments [3], spots in chemical reactions [4], pulses [5], kinks [6] and localized 2D states [7] in fluid surface waves, oscillons in granular media [8], isolated states in thermal convection [9,10], solitary waves in nonlinear optics [11,12,13] and cavity solitons in lasers [14]. Localized states are patterns which extend only over a small portion of a spatially extended and homogeneous system [15].…”

mentioning

confidence: 99%

“…Localized structures are shown to arise close to the Lifshtiz point, where non-variational terms drive the dynamics into complex and oscillatory behaviors. [11,12,13] and cavity solitons in lasers [14]. Localized states are patterns which extend only over a small portion of a spatially extended and homogeneous system [15].…”

mentioning

confidence: 99%

“…The feedback loop is closed by an optical fiber bundle and is designed in such a way that diffraction and polarization interference are simultaneously present [12]. The optical free propagation length is fixed to L = −10 cm.…”

mentioning

confidence: 99%

See 3 more Smart Citations

Bouncing localized structures in a liquid-crystal light-valve experiment

Clerc

Petrossian²,

Residori³

2005

Phys. Rev. E

View full text Add to dashboard Cite

Experimental evidence of bouncing localized structures in a nonlinear optical system is reported. Oscillations in the position of the localized states are described by a consistent amplitude equation, which we call the Lifshitz normal form equation, in analogy with phase transitions. Localized structures are shown to arise close to the Lifshtiz point, where non-variational terms drive the dynamics into complex and oscillatory behaviors. [11,12,13] and cavity solitons in lasers [14]. Localized states are patterns which extend only over a small portion of a spatially extended and homogeneous system [15]. Different mechanisms leading to stable localization have been proposed [16]. Among these, two main classes of localized structures have to be distinguished, namely those localized structures arising as solutions of a quintic Swift-Hohenberg like equation [16] and those that are stabilized by nonvariational terms in the subcritical Ginzburg-Landau equation [17]. The main difference between the two cases is that the first-type localized structures have a characteristic size which is fixed by the pinning mechanism over the underlying pattern or by spatial damped oscillations between homogenous states [16,18], whereas the second-type ones have no intrinsic spatial length, their size being selected by non-variational effects and going to infinity when dissipation goes to zero. In both cases, non-variational effects may lead to dynamical behaviors of localized structures [19]. Variational models based on a generalized Swift-Hohenberg equation have been proposed to describe the appearance of localized structures in nonlinear optics [20]. However, a generalization including non-variational terms is generically expected to apply even in optics, as happens, for instance, in semiconductor laser instabilities [21], giving rise to dynamical behaviors of localized structures, such as propagation and oscillations of their positions [22]. PacsWe report here an experimental evidence of localized structures dynamics in a Liquid-Crystal-Light-Valve (LCLV) with optical feedback. It is already known that, in the simultaneous presence of bistability and pattern forming diffractive feedback, the LCLV system shows localized structures [12,23,24,25]. Recently, rotation of localized structures along concentric rings have been reported in the case of a rotation angle introduced in the feedback loop [26]. Here, we fix a zero rotation angle and we show a new dynamical behavior, the bouncing of two adjacent localized structures, that is not related to imposed boundary conditions but is instead a direct consequence of the non-variational character of the system under study. Theoretically, we show that the LCLV system has several branches of bistability connecting an homogeneous state to a patterned one and we derive an amplitude equation accounting for the appearance of localized structures. This is a one-dimensional model, that we call the Lifshitz normal form equation [22], characterizing the dynamics of localized structures close to each po...

show abstract

Section: Pacsmentioning

confidence: 99%

mentioning

confidence: 99%

mentioning

confidence: 99%

mentioning

confidence: 99%

See 2 more Smart Citations

Bouncing localized structures in a liquid-crystal light-valve experiment

Clerc

Petrossian²,

Residori³

2005

Phys. Rev. E

View full text Add to dashboard Cite

show abstract

“…We do not expect that the S-H model describes faithfully all the details observed in the experiiment, however. It is known [16], for example, that the "thin slice with feedback" model, of which our experiment is an implementation, presents instabilities at multiple wavenumbers given by q N = √ Nq diff , N = 1, 5, 9, .... Though the highest wavenumbers become active at high values of pump parameter due to diffusion, it may be expected that they play some role in determining the fine features of the LS's.…”

mentioning

confidence: 99%

Tailoring the profile and interactions of optical localized structures

Benkler²,

Bortolozzo

et al. 2002

Phys. Rev. E

View full text Add to dashboard Cite

We experimentally demonstrate the broad tunability of the main features of optical localized structures (LS) in a nonlinear interferometer. By discussing how a single LS depends on the system spatial frequency bandwidth, we show that a modification of its tail leads to the possibility of tuning the interactions between LS pairs, and thus the equilibrium distances at which LS bound states form. This is in agreement with a general theoretical model describing weak interactions of LS in nonlinear dissipative systems.Localization of spatial patterns is a subject of major current interest in the research on nonlinear dissipative dynamical systems. The studies about this topics have naturally followed and sided those dedicated to the formation of temporal and spatial solitons in Hamiltonian systems [1]. Analytical and numerical works have identified several distinct mechanisms leading to structure localization in dissipative systems In particular, optical localized structures (LS), to which we will also refer to as dissipative solitons in the following, are objects of intense research, also in view of possible applications as pixels in devices for information storage or processing. So far, the existence of optical dissipative solitons has been theoretically predicted in many passive [7] and active [8] configurations, and optical LS have been observed in

show abstract

From Pattern Control to Synchronization: Control Techniques in Nonlinear Optical Feedback Systems

Gütlich¹,

Denz

2007

Handbook of Chaos Control

View full text Add to dashboard Cite

Pattern formation in a liquid-crystal light valve with feedback, including polarization, saturation, and internal threshold effects

Cited by 127 publications

References 25 publications

Bouncing localized structures in a liquid-crystal light-valve experiment

Bouncing localized structures in a liquid-crystal light-valve experiment

Tailoring the profile and interactions of optical localized structures

From Pattern Control to Synchronization: Control Techniques in Nonlinear Optical Feedback Systems

Contact Info

Product

Resources

About