nous montrons expérimentalement et analytiquement que les précurseurs en présence de dérive possèdent non seulement l'information du nombre d'onde k c mais aussi celle de l'orientation des vecteurs d'onde et de la vitesse de phase de la structure qui apparaît au seuil convectif, 1989. ,
spontaneous pattern formation in precipities systems, J. Chem Phys, vol.69, issue.27, 1978. ,
On the form and states assumed by fluids in contact with vibrating elastic surfaces, Phil. Trans. R. Soc. London, vol.52, p.319, 1831. ,
Pattern formation outside of equilibrium, Reviews of Modern Physics, vol.65, issue.3, p.851, 1993. ,
DOI : 10.1103/RevModPhys.65.851
Pattern formation and competition in nonlinear optics, Physics Reports, vol.318, issue.1-2, 1999. ,
DOI : 10.1016/S0370-1573(99)00007-1
Transverse Patterns in Optical Reorientation of Nematic Liquid Crystals with a Single Feedback Mirror, Molecular Crystals and Liquid Crystals Science and Technology. Section A. Molecular Crystals and Liquid Crystals, vol.251, issue.1, p.145, 1994. ,
DOI : 10.1103/PhysRevA.48.634
Large-scale transverse nonlinear interactions in laser beams ; new types of nonlinear waves ; onset of optical turnulence. Pis'ma Zh Eskp Teor Fiz, pp.47-611, 1988. ,
Spatial Instabilities in a Kerr Medium with Single Feedback Mirror, Journal of Modern Optics, vol.47, issue.2, p.151, 1990. ,
DOI : 10.1364/OL.10.000187
Hydrodynamic instabilities and transition to turbulence, 1981. ,
Thermally induced hydrodynamic fluctuations below the onset of electroconvection, Physical Review Letters, vol.67, issue.5, p.596, 1991. ,
DOI : 10.1103/PhysRevLett.67.596
Local and Global Instabilities in Spatially Developing Flows, Annual Review of Fluid Mechanics, vol.22, issue.1 ,
DOI : 10.1146/annurev.fl.22.010190.002353
One-dimensional transport-induced instabilities in an optical system with nonlocal feedback, Physical Review E, vol.52, issue.5, p.5524, 1995. ,
DOI : 10.1103/PhysRevE.52.5524
The Chemical Basis of Morphogenesis, Philosophical Transactions of the Royal Society B: Biological Sciences, vol.237, issue.641, p.37, 1952. ,
DOI : 10.1098/rstb.1952.0012
On the dynamics of revolving fluids, Proc. R. Soc. London Ser 93, p.148, 1916. ,
Les tourbillons cellulaires dans une nappe liquide transportent de la chaleur par convection en régime permanent, Ann. Chim. Phys, vol.7, issue.23, p.62, 1900. ,
Finite bandwidth, finite amplitude convection, Journal of Fluid Mechanics, vol.39, issue.02, p.279, 1969. ,
DOI : 10.1017/S0022112069000176
Optical morphogenesis: pattern formation and competition in nonlinear optics, Physica D: Nonlinear Phenomena, vol.86, issue.1-2, p.297, 1995. ,
DOI : 10.1016/0167-2789(95)00110-P
Self-organization in nonequilibrium systems, from dissipative structures to order through fluctuations, 1977. ,
Structures disipatives chaos et turbulence, 1990. ,
60-fsec pulse generation from a self-mode-locked Ti:sapphire laser, Optics Letters, vol.16, issue.1, p.42, 1991. ,
DOI : 10.1364/OL.16.000042
Surface plasmon subwavelength optics, Nature, vol.424, issue.6950, p.824, 2003. ,
DOI : 10.1038/nature01937
URL : https://hal.archives-ouvertes.fr/hal-00472360
Processing of information by arrays of non-linear optical solitons, Esprit project 28235 PIANOS. Cordis, 1998. ,
Self-organization in optical systems and applications in information technology, 1995. ,
Optical instabilities in sodium vapor, Journal of the Optical Society of America B, vol.5, issue.5, p.1181, 1988. ,
DOI : 10.1364/JOSAB.5.001181
Spontaneous optical pattern formation in a nematic liquid crystal with feedback mirror, Optics Communications, vol.89, issue.2-4, p.289, 1992. ,
DOI : 10.1016/0030-4018(92)90175-Q
Talbot assisted hexagonal beam patterning in a thin liquid crystal film with a single feedback mirror at negative distance, Appl. Phys. Lett, vol.63, issue.12, p.1604, 1993. ,
Pattern formation in a liquid-crystal light valve with feedback, including polarization, saturation, and internal threshold effects, Physical Review A, vol.52, issue.1, p.791, 1995. ,
DOI : 10.1103/PhysRevA.52.791
Hexagonal pattern formation due to counterpropagation in KNbO3 ,
Etudes des instabilités spatio-temporelles dans les oscillateurs à gain photoréfractif, Sciences et Technique de Lille (France), 1994. ,
Non- and nearly hexagonal patterns in sodium vapor generated by single-mirror feedback, Physical Review A, vol.50, issue.6, p.4468, 1994. ,
DOI : 10.1103/PhysRevA.50.R4468
Spatial Soliton Pixels in Semiconductor Devices, Physical Review Letters, vol.79, issue.11, p.2042, 1997. ,
DOI : 10.1103/PhysRevLett.79.2042
Spontaneous formation of spatial structures in dissipative nonlinear optical systems with external feedback and time-dependant driving, 2002. ,
Spectral properties of FEL oscillators : new theoritical and experimental results on the Super-ACO FEL. FEL, p.44, 2004. ,
Spontaneous symmetry breaking in a laser: The experimental side, Physical Review Letters, vol.65, issue.25, pp.65-3124, 1990. ,
DOI : 10.1103/PhysRevLett.65.3124
Facts relating to optical science, Philos. Mag, vol.9, issue.56, p.401, 1836. ,
The physics of liquid crystal, 1993. ,
Hexagonal spatial patterns for a Kerr slice with a feedback mirror, Phys. Rev. A, vol.46, issue.1, p.537, 1992. ,
Optics and nonlinear optics of liquid crystals, World Scientific, 1993. ,
DOI : 10.1142/1630
Talbot Assisted Pattern Formation in a Liquid Crystal Film with Single Feedback Mirror, Molecular Crystals and Liquid Crystals Science and Technology. Section A. Molecular Crystals and Liquid Crystals, vol.32, issue.1, p.127, 1994. ,
DOI : 10.1364/AO.29.000579
Spontaneous hexagon formation in a nonlinear medium with optical feedback mirror, Phys. Rev. Lett, vol.66, p.2597, 1991. ,
Pattern-Dislocation-Type Dynamical Instability in 1D Optical Feedback Kerr Media with Gaussian Transverse Pumping, Physical Review Letters, vol.87, issue.24, p.24450, 2001. ,
DOI : 10.1103/PhysRevLett.87.244501
Silanization of Solid Substrates: A Step Toward Reproducibility, Langmuir, vol.10, issue.11, p.4367, 1994. ,
DOI : 10.1021/la00023a072
Noise sustained patterns vol, 2003. ,
Statistics of the laser radiation at threshold, Physics Letters A, vol.25, issue.1, p.59, 1967. ,
DOI : 10.1016/0375-9601(67)90339-8
Stochastic calculus : application to dynamic bifurcations and threshold crossings, Journal of Statistical Physics, vol.90, issue.1/2, p.227, 1998. ,
DOI : 10.1023/A:1023207919293
Linear Stability Analysis for Bifurcations in Spatially Extended Systems with Fluctuating Control Parameter, Physical Review Letters, vol.73, issue.7, p.955, 1994. ,
DOI : 10.1103/PhysRevLett.73.955
Noise-induced spatial patterns, Physica A: Statistical Mechanics and its Applications, vol.224, issue.1-2, p.153, 1996. ,
DOI : 10.1016/0378-4371(95)00350-9
Noise-induced fronts, Physical Review E, vol.59, issue.1, p.98, 1999. ,
DOI : 10.1103/PhysRevE.59.98
Noisy precursors in one-dimensional patterns, Physical Review A, vol.66, issue.6, p.63805, 2002. ,
DOI : 10.1103/PhysRevA.66.063805
Stochastic resonance and the benefits of noise: from ice ages to crayfish and SQUIDs, Nature, vol.373, issue.6509, p.33, 1995. ,
DOI : 10.1038/373033a0
Noise in spatially extended systems, 1999. ,
DOI : 10.1007/978-1-4612-1536-3
Stochastic envelope equations for nonequilibrium transitions and application to thermal fluctuations in electroconvection in nematic liquid crystals, Physical Review E, vol.49, issue.4, p.48, 1994. ,
DOI : 10.1103/PhysRevE.49.3184
Proceeding of the Workshop on fluctuations and sensitivity in nonequilibrium systems, 1984. ,
Observation of noisy precursors of dynamical instabilities, Physical Review A, vol.31, issue.2, p.1077, 1985. ,
DOI : 10.1103/PhysRevA.31.1077
Thermal Fluctuations, Subcritical Bifurcation, and Nucleation of Localized States in Electroconvection, Physical Review Letters, vol.80, issue.14, p.3061, 1998. ,
DOI : 10.1103/PhysRevLett.80.3061
Thermally Induced Fluctuations below the Onset of Rayleigh-B??nard Convection, Physical Review Letters, vol.75, issue.9, p.1743, 1995. ,
DOI : 10.1103/PhysRevLett.75.1743
Langevin treatment of quantum fluctuations and optical patterns in optical parametric oscillators below threshold, Physical Review A, vol.56, issue.1, 1997. ,
DOI : 10.1103/PhysRevA.56.877
Quantum images in non degenerate optical parametric oscillators, The European Physical Journal D, vol.10, issue.3, p.433, 2000. ,
DOI : 10.1007/s100530050566
Thermal fluctuations in pattern forming instabilities page 307, 1996. ,
The Fokker-Planck equation, 1984. ,
Handbook of stochastic methods, 1990. ,
Numerical Recipes, 1986. ,
Stochastic Runge-Kutta algorithms. I. White noise, Physical Review A, vol.45, issue.2, p.600, 1992. ,
DOI : 10.1103/PhysRevA.45.600
Empirical bifurcation analysis of optical pattern formation, Physical Review E, vol.65, issue.6, p.66206, 2002. ,
DOI : 10.1103/PhysRevE.65.066206
Pattern formation and competition in nonlinear optical systems with two-dimensional feedback, Physical Review A, vol.49, issue.4, p.2891, 1994. ,
DOI : 10.1103/PhysRevA.49.2891
Dodecagonal patterns in a Kerr-slice/feedback-mirror type optical system, Journal of Modern Optics, vol.43, issue.1, p.93, 1996. ,
DOI : 10.1080/09500349608232726
A New Nonlinear Optical Method to Measure the Elastic Anisotropy of Liquid Crystals, Molecular Crystals and Liquid Crystals Science and Technology. Section A. Molecular Crystals and Liquid Crystals, vol.55, issue.4, p.205, 1994. ,
DOI : 10.1093/imamat/7.2.216
Optically induced Freedericksz transition and bistability in a nematic liquid crystal, Physical Review A, vol.28, issue.4, p.2393, 1983. ,
DOI : 10.1103/PhysRevA.28.2393
Nonlinear infrared optical measurements of elastic constants in nematic liquid crystal, Optics Communications, vol.176, issue.4-6, p.473, 2000. ,
DOI : 10.1016/S0030-4018(00)00545-9
Absolute measurements of the elastic constants of nematic liquid crystals by light scattering, Il Nuovo Cimento B Series 11, vol.57, issue.2, p.165, 1980. ,
DOI : 10.1007/BF02721185
Influence of External Electric Field on Time of Nonlinear Optical Reorientational Effect in Nematics, Acta Physica Polonica A, vol.103, issue.2-3, p.188, 2003. ,
DOI : 10.12693/APhysPolA.103.187
Enhanced photoinduced nematic reorientation in mixture with azo-dye-substituted polymer, Liquid Crystal Materials, Devices, and Flat Panel Displays, 2000. ,
DOI : 10.1117/12.379980
Optical measurement of the director relaxation time in a periodically reoriented nematic liquid crystal, Journal of Applied Physics, vol.86, issue.6, p.3042, 1999. ,
DOI : 10.1063/1.371166
Quasielectric rayleigh scattering in nematic liquid crystals, Phys. Rev. Lett, vol.22, issue.25, p.1362, 1969. ,
Correlations between liquid crystal director reorientation and optical response time of a homeotropic cell, Journal of Applied Physics, vol.95, issue.10, p.95, 2004. ,
DOI : 10.1063/1.1707210
Convective Instability and Structure Formation in Traffic Flow, Journal of the Physical Society of Japan, vol.69, issue.11, p.1766, 2000. ,
DOI : 10.1143/JPSJ.69.3752
Dynamical model of traffic congestion and numerical simulation, Physical Review E, vol.51, issue.2, p.1035, 1995. ,
DOI : 10.1103/PhysRevE.51.1035
Pattern formation by boundary forcing in convectively unstable, oscillatory media with and without differential transport. arXiv :nlin, p.410017, 2004. ,
Convective versus absolute instability in flow between counterrotating cylinders, Physical Review A, vol.42, issue.2, p.831, 1990. ,
DOI : 10.1103/PhysRevA.42.831
Convective instability of strained layer step flow, Surface Science, vol.494, issue.1, p.735, 2001. ,
DOI : 10.1016/S0039-6028(01)01443-1
Influence of walkoff on pattern formation in nondegenerate optical parametric oscillators, Physical Review E, vol.63, issue.1, p.16604, 2000. ,
DOI : 10.1103/PhysRevE.63.016604
Convective and absolute instabilities in the subcritical Ginzburg-Landau equation, The European Physical Journal B - Condensed Matter and Complex Systems, vol.11, issue.3, p.517, 1999. ,
DOI : 10.1007/s100510050964
Spatially growing waves, intermittency, and convective chaos in an open-flow system, Physica D: Nonlinear Phenomena, vol.25, issue.1-3, p.233, 1987. ,
DOI : 10.1016/0167-2789(87)90103-5
Noise amplification in open Taylor-Couette flow, Physical Review E, vol.50, issue.5, p.3670, 1994. ,
DOI : 10.1103/PhysRevE.50.3670
Noise-Sustained Convective Structures in Nonlinear Optics, Physical Review Letters, vol.79, issue.19, p.3633, 1997. ,
DOI : 10.1103/PhysRevLett.79.3633
Transport induced patterns in an optical system with focussing nonlinearity, Optics Communications, vol.136, issue.3-4, p.267, 1997. ,
DOI : 10.1016/S0030-4018(96)00708-0
Optical Diffraction-Free Patterns Induced by a Discrete Translational Transport, Physical Review Letters, vol.81, issue.19, p.4128, 1998. ,
DOI : 10.1103/PhysRevLett.81.4128
Pattern formation in a nonlinear optical system : the effects of nonlocality, Chaos, Solitons and Fractals, issue.4 ,
Amplifying and evanescent waves, convective and non-convective instabilities page 124, 1961. ,
Advance mathematical methods for scientists and engineers, 1978. ,
Methods of theoritical physics I, 1953. ,
revue complète est donnée dans la section 3.6 de. Pattern formation and competition in nonlinear optics, Phys. Reports, vol.318, issue.1, 1999. ,
The Development of Wavepackets in Unstable Flows, Proc. R. Lond. A 373, p.457, 1981. ,
DOI : 10.1098/rspa.1981.0004
Experimental Evidence of Absolute and Convective Instabilities in Optics, Physical Review Letters, vol.92, issue.4, p.43901, 2004. ,
DOI : 10.1103/PhysRevLett.92.043901
Experimental Control of Unstable Patterns and Elimination of Spatiotemporal Disorder in Nonlinear Optics, Physical Review Letters, vol.84, issue.5, p.879, 2000. ,
DOI : 10.1103/PhysRevLett.84.879
Stabilization, Selection, and Tracking of Unstable Patterns by Fourier Space Techniques, Physical Review Letters, vol.77, issue.19, p.4007, 1996. ,
DOI : 10.1103/PhysRevLett.77.4007
Selection of Unstable Patterns and Control of Optical Turbulence by Fourier Plane Filtering, Physical Review Letters, vol.80, issue.16, p.3499, 1998. ,
DOI : 10.1103/PhysRevLett.80.3499
Spatial forcing of spontaneous optical patterns, Physical Review E, vol.65, issue.3, p.35205, 2002. ,
DOI : 10.1103/PhysRevE.65.035205
Experimental Targeting and Control of Spatiotemporal Chaos in Nonlinear Optics, Physical Review Letters, vol.93, issue.6, pp.401001-401002, 2004. ,
DOI : 10.1103/PhysRevLett.93.063902
Metallic Phase with Long-Range Orientational Order and No Translational Symmetry, Physical Review Letters, vol.53, issue.20, p.1951, 1984. ,
DOI : 10.1103/PhysRevLett.53.1951
Ordered capillary-wave states: Quasicrystals, hexagons, and radial waves, Physical Review Letters, vol.68, issue.14, p.2157, 1992. ,
DOI : 10.1103/PhysRevLett.68.2157
Parametrically excited quasicrystalline surface waves, Physical Review E, vol.47, issue.2, p.788, 1993. ,
DOI : 10.1103/PhysRevE.47.R788
Two-Dimensional Crystals and Quasicrystals in Nonlinear Optics, Physical Review Letters, vol.74, issue.2, p.258, 1995. ,
DOI : 10.1103/PhysRevLett.74.258
Quasipatterns in a polarization instability, Physical Review A, vol.53, issue.2, p.1072, 1996. ,
DOI : 10.1103/PhysRevA.53.1072
Optical pattern formation in alkali metal vapors: Mechanisms, phenomena and use, Applied Physics B, vol.72, issue.1, 2001. ,
DOI : 10.1007/s003400000518
Eightfold quasipatterns in an optical pattern-forming system, Physical Review E, vol.66, issue.4, p.46220, 2002. ,
DOI : 10.1103/PhysRevE.66.046220
Spatio-temporal dynamics due to competing spatial instabilities in a coupled LCLV feedback system, Physica D: Nonlinear Phenomena, vol.96, issue.1-4, p.282, 1996. ,
DOI : 10.1016/0167-2789(96)00028-0
Domain Coexistence in Two-Dimensional Optical Patterns, Physical Review Letters, vol.76, issue.7, p.1063, 1996. ,
DOI : 10.1103/PhysRevLett.76.1063
Pattern formation due to interballoon spatial mode coupling, Journal of the Optical Society of America B, vol.14, issue.1, p.34, 1997. ,
DOI : 10.1364/JOSAB.14.000034
Nonlinear dynamics in an optical system with controlled two-dimensional feedback: Black-eye patterns and related phenomena, Physical Review A, vol.57, issue.4, p.3040, 1998. ,
DOI : 10.1103/PhysRevA.57.3040
Model equations for two-dimensional quasipatterns, Physical Review E, vol.49, issue.2, p.1273, 1994. ,
DOI : 10.1103/PhysRevE.49.1273
Pattern formation in two-frequency forced parametric waves, Physical Review E, vol.65, issue.3, p.36224, 2002. ,
DOI : 10.1103/PhysRevE.65.036224
Subhexagons and ultrahexagons as a result of a secondary instability, Phys. Rev. A, vol.55, p.4538, 1997. ,
THE LIQUID CRYSTAL LIGHT VALVE WITH OPTICAL FEEDBACK: A CASE STUDY IN PATTERN FORMATION, Journal of Nonlinear Optical Physics & Materials, vol.09, issue.02, p.183, 2000. ,
DOI : 10.1142/S0218863500000170
Convection in binary fluids: Amplitude equations, codimension-2 bifurcation, and thermal fluctuations, Physical Review E, vol.47, issue.3, p.1739, 1993. ,
DOI : 10.1103/PhysRevE.47.1739