### Citations

492 |
Pattern formation outside of equilibrium, Rev
- Cross, Hohenberg
- 1993
(Show Context)
Citation Context ...logy [2]. Thesappearance of structures, seemingly from nothing,sis a subject which fascinates not only physicists, butseverybody interested in “philosophical” problemssof self-evolution in the nature =-=[3]-=-. The nonlinearsoptical systems are nice and well controllable playground for studying these building bricks of evolution in the nature. On the other hand, the patternssin optics are potentially appli... |

351 |
Self-organization in nonequilibrium systems : from dissipative structures to order through fluctuations
- Nicolis, Prigogine
- 1977
(Show Context)
Citation Context ... whichsstarted more than two decades ago [1]. First of all,sthe pattern formation in nonlinear optical resonators resembles spontaneous pattern formation insother systems in the nature and technology =-=[2]-=-. Thesappearance of structures, seemingly from nothing,sis a subject which fascinates not only physicists, butseverybody interested in “philosophical” problemssof self-evolution in the nature [3]. The... |

26 |
Localized structures and localized patterns in optical bistability,
- Tlidi, Mandel, et al.
- 1994
(Show Context)
Citation Context ...the like. Another relevant localized structure is a bright dissipative solitonsin bistable nonlinear resonators, in bistable laserss(with saturable absorbers) [56–58], in passive nonlinear resonators =-=[59]-=-, in optical parametric oscillators [60, 61], and in vertical surface cavity emissionslasers [62–64]. Also, phase solitons (related with thesbistability of the phase) should be mentioned as interestin... |

22 | Propagation dynamics of optical vortices - Rozas, Law, et al. - 1997 |

20 |
Light propagation in singly and doubly periodic planar waveguide.
- Zengerle
- 1987
(Show Context)
Citation Context ...light patterns (i. e. concerningsthe transverse mode structure) the equivalence isscomplete. Therefore, if the unfolded PhC is of geometry corresponding to the nondiffractive (selfcollimating) regime =-=[16, 17]-=-, then the photon resonating inside the “folded” structure will not showssystems can be seen. First of all, the structures insBose condensates (vortices, etc.) are very similar tosthose discovered in ... |

16 | Dynamically Stabilized Bright Solitons in a TwoDimensional Bose-Einstein Condensate - Saito, Ueda - 2003 |

16 | Controlling collapse in Bose-Einstein condensates by temporal modulation of the scattering length, Phys - Abdullaev, Caputo, et al. - 2003 |

13 |
Transverse modulational instabilities for counterpropagating beams in Kerr media,”
- Firth, Paré
- 1988
(Show Context)
Citation Context ...nidirectional light propagation in nonlinearsmedia, leading to filamentation effects and formation of bright solitons [42], optical vortices [43],scounterpropagating configuration leading to hexagons =-=[44]-=-, systems with a feedback loop, showing aslarge variety of extended patterns [45, 46]. Coming back to nonlinear resonators, varioussphenomena have been studied. One exotic formation is an optical vort... |

11 |
Vortices and defect statistics in twodimensional optical chaos
- Arecchi, Giacomelli, et al.
- 1991
(Show Context)
Citation Context ..., 46]. Coming back to nonlinear resonators, varioussphenomena have been studied. One exotic formation is an optical vortex [32, 33, 47–50] which cansshow chaotic dynamics (vortex mediated turbulence) =-=[51, 52]-=-, the vortices that can arrange in regular vortex lattices [53–55], and the like. Another relevant localized structure is a bright dissipative solitonsin bistable nonlinear resonators, in bistable las... |

10 | Solitary waves generated by subcritical instabilities in dissipative systems - FAUVE, THUAL - 1990 |

9 |
Space–time dynamics of wide-gain-section lasers,’’
- Jakobsen, Moloney, et al.
- 1992
(Show Context)
Citation Context ... a laser was already derived in [29] insa very simple approximation. More sophisticatedsorder parameter equations were derived, such assmodified Ginzburg-Landau equation [34], SwiftHohenberg equation =-=[35, 36]-=-. The order parametersequations were also derived for other types of nonlinear resonators: resonator with a nonlinear photorefractive crystal [37], resonator with parametricsnonlinearity [38, 39], and... |

8 |
F. Colloquium: unusual resonators: plasmonics, metamaterials, and random
- Bliokh, Bliokh, et al.
- 2008
(Show Context)
Citation Context ...ormation inssmall compact nonlinear optical systems. In particular, wave diffraction in resonators becomes morescontrollable due to possibilities to fill the resonators with some exotic metamaterials =-=[12]-=-. Specifically, the negative-index metamaterials can invertsthe sign of diffraction, thus can allow nonevanescent propagation of subwavelength scale patterns.sAnother possibility is to fill the resona... |

8 |
Laserlight – first example of a second-order phase transition far away from thermal equilibrium, Zeit. für Physik 237
- Graham, Haken
- 1970
(Show Context)
Citation Context ...on spontaneous pattern formation in broad aperture lasers and nonlinear resonators appeared in the early 1970s when the relationsbetween the coherent laser field and fluids/superfluids was recognized =-=[29]-=-. Also, filamentation ofslight in focusing media and, in more sophisticatedscases, formation of bright spatial solitons [30] cansbe attributed to the initial works on nonlinear lightspatterns. However... |

8 |
Ginzburg-Landau equation and laser hydrodynamics, Phys
- Staliunas, Laser
- 1993
(Show Context)
Citation Context ... a laser was already derived in [29] insa very simple approximation. More sophisticatedsorder parameter equations were derived, such assmodified Ginzburg-Landau equation [34], SwiftHohenberg equation =-=[35, 36]-=-. The order parametersequations were also derived for other types of nonlinear resonators: resonator with a nonlinear photorefractive crystal [37], resonator with parametricsnonlinearity [38, 39], and... |

8 | Patterns and localized structures in bistable semiconductor resonators,” - Taranenko, Ganne, et al. - 2000 |

8 |
Transverse Patterns in Nonlinear Optical Resonators, (Springer Tracts in Modern Physics (Springer-Verlag,
- Staliunas, Sanchez-Morcillo
- 2003
(Show Context)
Citation Context ...maging geometriess[72]. As an alternative, the modulation of the intracavity refraction index was proposed to manipulate diffraction, bringing to subdiffractive solitonss[73, 74], hyperbolic patterns =-=[75, 76]-=-, or elimination of spatial instabilities of the patterns [27, 28].sFurther works on the topic of modulated resonators (or resonators filled with PhCs) are reviewed insthe introductory part of the mai... |

7 | D.J. Frantzeskakis, Averaging for solitons with nonlinearity management - Pelinovsky, Kevrekidis - 2003 |

7 | Spatiallocalized structures in degenerate optical parametric oscillators, Phys - Staliunas, Sánchez-Morcillo - 1998 |

6 |
Spatiotemporal instabilities of lasers in models reduced via center manifold techniques, Phys
- Oppo, D’Alessandro, et al.
- 1991
(Show Context)
Citation Context ...n order parametersequation for a laser was already derived in [29] insa very simple approximation. More sophisticatedsorder parameter equations were derived, such assmodified Ginzburg-Landau equation =-=[34]-=-, SwiftHohenberg equation [35, 36]. The order parametersequations were also derived for other types of nonlinear resonators: resonator with a nonlinear photorefractive crystal [37], resonator with par... |

6 |
Transverse patterns in degenerate optical parametric oscillation and degenerate four-wave mixing, Phys
- Valcarcel, Staliunas, et al.
- 1996
(Show Context)
Citation Context ...tion [35, 36]. The order parametersequations were also derived for other types of nonlinear resonators: resonator with a nonlinear photorefractive crystal [37], resonator with parametricsnonlinearity =-=[38, 39]-=-, and passive driven nonlinearKerr resonator [40, 41]. In parallel to the patterns in nonlinear resonators,sthe nonlinear patterns in different optical configurations were studied, such as mirrorless ... |

5 |
G.J. de Valcárcel, Arresting soliton collapse in two-dimensional nonlinear Schrödinger systems via spatiotemporal modulation of the external potential, Phys
- Staliunas, Herrero
- 2007
(Show Context)
Citation Context ...ucture. The self-collimation in 3D is thesmost prominent along the diagonals of the cubicsstructure (as calculated in linear cases [24], shownsexperimentally [25], and predicted in the nonlinear case =-=[26]-=-). The resonator was illuminated by asCW laser beam (wavelength 532 nm, beam widths2.5 mm, power 15 mW). A diffuser was placed insfront of the front mirror of the resonator in order to generate a broa... |

5 |
Cooperative frequency locking and stationary spatial structures in lasers
- Lugiato, Oldano, et al.
- 1988
(Show Context)
Citation Context ...f bright spatial solitons [30] cansbe attributed to the initial works on nonlinear lightspatterns. However, really detailed studies of nonlinear patterns started in the late 1980s and earlys1990s. In =-=[31]-=- nontrivial stationary and dynamicalstransverse mode formations in laser beams weresshown. In [32] it was recognized that MaxwellBloch equations for a laser admit vortex solutions,swhich soon were con... |

4 | Self-focusing and spatial plasmon-polariton solitons Opt. - Davoyan, Shadrivov, et al. - 2009 |

4 |
Threedimensional structures in diffractive and dispersive nonlinear ring cavities, Quantum Semiclass
- Tlidi, Haelterman, et al.
- 1998
(Show Context)
Citation Context ...esbistability of the phase) should be mentioned as interesting localized formations of light [65–67]. Verysdifferent issues have been considered, such as threedimensional patterns (localized bullets) =-=[68, 69]-=-,s“rocked” resonators [70, 71], to mention a few. Generally, the character of the above-discussedslight patterns in nonlinear resonators is stronglysdependent on diffraction of resonators. Some earlys... |

3 | de Valcárcel, Faraday patterns in Bose–Einstein condensates - Staliunas, Longhi, et al. - 2002 |

3 |
V.J. Spatial filtering of light by chirped photonic crystals, Phys
- unknown authors
- 2009
(Show Context)
Citation Context ... d) single modulated mirror resonator. M. Peckus et al. / Lith. J. Phys. 53, 25–40 (2013)27 diffractive spreading either. If light propagatingsalong the unfolded PhC shows angular (spatial) filtering =-=[18, 19]-=-, then the light in the resonator cansalso be expected to show spatial filtering. The above-described idea was proposed [20]sand further elaborated and experimentally demonstrated [21]. The first fabr... |

3 |
Resonators with manipulated diffraction due to two- and three-dimensional intracavity photonic crystals,” Phys. Rev. A 79, 033806 (2009). Darius Gailevicius received his BS degree in physics from Vilnius University in 2013. He is a researcher and a studen
- Peckus
- 1989
(Show Context)
Citation Context ...tem of Fresnel rings) is simply rescaled bysvarying the optical length of the resonator, i. e. thesdiffractivity of the resonator. The idea behind the present article (as well assbehind earlier works =-=[20, 21]-=-) is that the transversesand longitudinal mode structure of the plane-mirror resonator could be substantially modified fillingsthe resonator with the material with a refraction index periodic in space... |

3 |
Experimental Demonstration of Self-Collimation inside a Three-Dimensional Photonic Crystal
- Lu, Shi, et al.
- 2006
(Show Context)
Citation Context ...eeded along the diagonals of thescubic structure. The self-collimation in 3D is thesmost prominent along the diagonals of the cubicsstructure (as calculated in linear cases [24], shownsexperimentally =-=[25]-=-, and predicted in the nonlinear case [26]). The resonator was illuminated by asCW laser beam (wavelength 532 nm, beam widths2.5 mm, power 15 mW). A diffuser was placed insfront of the front mirror of... |

3 |
Coupled-mode theory for photonic band-gap inhibition of spatial instabilities, Phys
- Gomila, Oppo
- 2005
(Show Context)
Citation Context ...omogeneously filled resonators in Fig. 4(c). We also note that the light dynamics in the resonator modulated in a transverse direction only (noslongitudinal index modulation) as studied previously in =-=[27, 28]-=- by applying the mean field models.sHere in our study, the longitudinal modulation ofsthe refraction index is considered (the longitudinalsmodulation index is necessary in order to obtainsthe subdiffr... |

3 |
A. Rotating spiral waves in a nonlinear optical system with spatial interactions, Chaos Soliton Fract
- Zheleznykh, Berre, et al.
- 1994
(Show Context)
Citation Context ...cts and formation of bright solitons [42], optical vortices [43],scounterpropagating configuration leading to hexagons [44], systems with a feedback loop, showing aslarge variety of extended patterns =-=[45, 46]-=-. Coming back to nonlinear resonators, varioussphenomena have been studied. One exotic formation is an optical vortex [32, 33, 47–50] which cansshow chaotic dynamics (vortex mediated turbulence) [51, ... |

3 | Tilted and standing waves and vortex lattices in class-A lasers - Staliunas, Weiss - 1995 |

3 | Basic transverse dynamics of a photorefractive oscillator - Hennequin, Dambly, et al. - 1994 |

3 |
Spatial solitary waves and patterns in type II second-harmonic generation
- Longhi
- 1998
(Show Context)
Citation Context ...ucture is a bright dissipative solitonsin bistable nonlinear resonators, in bistable laserss(with saturable absorbers) [56–58], in passive nonlinear resonators [59], in optical parametric oscillators =-=[60, 61]-=-, and in vertical surface cavity emissionslasers [62–64]. Also, phase solitons (related with thesbistability of the phase) should be mentioned as interesting localized formations of light [65–67]. Ver... |

3 | L. Phase-separation dynamics of circular domain walls in the degenerate optical parametric oscillator - Tlidi, Mandel, et al. - 2000 |

3 | Phase-locked spatial domains and Bloch domain walls in type-II optical parametric oscillators, Phys - Izús, Miguel, et al. - 2001 |

2 | V.A. Adiabatic dynamics of periodic waves in Bose-Einstein condensates with time dependent atomic scattering length - V - 2003 |

2 | Surface plasmon mode steering and negative - Stein, Laluet, et al. - 2010 |

2 | T.W. Self-collimation of surface plasmon - C - 1916 |

2 |
Subdiffractive all-photonic crystal Fabry-Perot resonators
- Iliew, Etrich, et al.
- 2008
(Show Context)
Citation Context ...ion of PhCs, thus also offers possibilities to reduce the spatial scale of the patterns.sThe idea is illustrated in Fig.s1. Recently, severalsconcrete architectures have been proposed for suchslinear =-=[13]-=- and nonlinear [14, 15] resonators, allowing manipulation of resonator diffraction andsthus manipulating the scale of nonlinear patternssthere. An experimental realization of the latter ideas(filling ... |

2 |
cavity solitons in nonlinear resonators with intracavity photonic crystals
- Staliunas, Egorov, et al.
- 2008
(Show Context)
Citation Context ...lso offers possibilities to reduce the spatial scale of the patterns.sThe idea is illustrated in Fig.s1. Recently, severalsconcrete architectures have been proposed for suchslinear [13] and nonlinear =-=[14, 15]-=- resonators, allowing manipulation of resonator diffraction andsthus manipulating the scale of nonlinear patternssthere. An experimental realization of the latter ideas(filling the microresonator with... |

2 |
O.A. Egorov, Ab initio dissipative solitons in an all-photonic crystal resonator, Phys
- Etrich, Iliew, et al.
(Show Context)
Citation Context ...lso offers possibilities to reduce the spatial scale of the patterns.sThe idea is illustrated in Fig.s1. Recently, severalsconcrete architectures have been proposed for suchslinear [13] and nonlinear =-=[14, 15]-=- resonators, allowing manipulation of resonator diffraction andsthus manipulating the scale of nonlinear patternssthere. An experimental realization of the latter ideas(filling the microresonator with... |

2 |
Selfcollimating phenomena in photonic crystals
- Tamamura, Sato, et al.
- 1999
(Show Context)
Citation Context ...light patterns (i. e. concerningsthe transverse mode structure) the equivalence isscomplete. Therefore, if the unfolded PhC is of geometry corresponding to the nondiffractive (selfcollimating) regime =-=[16, 17]-=-, then the photon resonating inside the “folded” structure will not showssystems can be seen. First of all, the structures insBose condensates (vortices, etc.) are very similar tosthose discovered in ... |

2 |
Signatures of light-beam spatial filtering in a threedimensional photonic crystal, Phys
- Maigyte, Gertus, et al.
- 2010
(Show Context)
Citation Context ... d) single modulated mirror resonator. M. Peckus et al. / Lith. J. Phys. 53, 25–40 (2013)27 diffractive spreading either. If light propagatingsalong the unfolded PhC shows angular (spatial) filtering =-=[18, 19]-=-, then the light in the resonator cansalso be expected to show spatial filtering. The above-described idea was proposed [20]sand further elaborated and experimentally demonstrated [21]. The first fabr... |

2 |
superdiffractive resonators with intracavity photonic crystals, Phys
- M, Sub-
- 2007
(Show Context)
Citation Context ...ntally light dynamics in plane-mirror Fabry-Pérot resonatorssfilled with two- and three-dimensional photonic crystals. It has been predicted that the diffraction of suchsresonators can be manipulated =-=[20]-=- and used to control the linear and nonlinear light pattern formation there.sHere we study the phenomenon in detail. We show the hyperbolic shape angular transmission profiles in casesof a two-dimensi... |

2 | R. Nondiffractive propagation of light in photonic crystals, Phys - unknown authors - 2006 |

2 |
K. Quantitative analysis of subdiffractive light propagation in photonic crystals
- R
- 2007
(Show Context)
Citation Context ...attice of the refraction index in the case of modulation in one transverse direction. We note that suchsgeometry (propagation along the diagonals of assquare lattice) is suitable for self-collimation =-=[17,s22, 23]-=- and for respective manipulation of diffraction. This is the reason why in the previous works[20, 21] such a geometry (in particular the laterallysshifted mirrors) was chosen. Here, we show that itsis... |

2 |
F. Self-collimation of light in three-dimensional photonic crystals
- C
- 2005
(Show Context)
Citation Context ...e propagation of light succeeded along the diagonals of thescubic structure. The self-collimation in 3D is thesmost prominent along the diagonals of the cubicsstructure (as calculated in linear cases =-=[24]-=-, shownsexperimentally [25], and predicted in the nonlinear case [26]). The resonator was illuminated by asCW laser beam (wavelength 532 nm, beam widths2.5 mm, power 15 mW). A diffuser was placed insf... |

2 |
G.-L. Photonic band-gap inhibition of modulational istabilities
- R
- 2004
(Show Context)
Citation Context ...omogeneously filled resonators in Fig. 4(c). We also note that the light dynamics in the resonator modulated in a transverse direction only (noslongitudinal index modulation) as studied previously in =-=[27, 28]-=- by applying the mean field models.sHere in our study, the longitudinal modulation ofsthe refraction index is considered (the longitudinalsmodulation index is necessary in order to obtainsthe subdiffr... |

2 |
C.O. Transverse laser patterns. I. Phase singularity crystals, Phys
- C
- 1991
(Show Context)
Citation Context ... and dynamicalstransverse mode formations in laser beams weresshown. In [32] it was recognized that MaxwellBloch equations for a laser admit vortex solutions,swhich soon were confirmed experimentally =-=[33]-=-.sThese pioneering works were followed by an increasing number of investigations, mostly attemptssto understand nonlinear pattern formation by deriving the order parameter equation for a laser andsoth... |

2 |
L. Analogy between photorefractive oscillators and class-A lasers, Phys
- O
- 1995
(Show Context)
Citation Context ...urg-Landau equation [34], SwiftHohenberg equation [35, 36]. The order parametersequations were also derived for other types of nonlinear resonators: resonator with a nonlinear photorefractive crystal =-=[37]-=-, resonator with parametricsnonlinearity [38, 39], and passive driven nonlinearKerr resonator [40, 41]. In parallel to the patterns in nonlinear resonators,sthe nonlinear patterns in different optical... |

2 |
A. Swift-Hohenberg equation for optical parametric oscillators, Phys
- unknown authors
- 1996
(Show Context)
Citation Context ...tion [35, 36]. The order parametersequations were also derived for other types of nonlinear resonators: resonator with a nonlinear photorefractive crystal [37], resonator with parametricsnonlinearity =-=[38, 39]-=-, and passive driven nonlinearKerr resonator [40, 41]. In parallel to the patterns in nonlinear resonators,sthe nonlinear patterns in different optical configurations were studied, such as mirrorless ... |

2 |
T. Transverse effects in coherently driven nonlinear cavities, Phys
- M
- 1993
(Show Context)
Citation Context ...o derived for other types of nonlinear resonators: resonator with a nonlinear photorefractive crystal [37], resonator with parametricsnonlinearity [38, 39], and passive driven nonlinearKerr resonator =-=[40, 41]-=-. In parallel to the patterns in nonlinear resonators,sthe nonlinear patterns in different optical configurations were studied, such as mirrorless configurationswith unidirectional light propagation i... |

2 |
P. Transverse patterns in nascent optical bistability, Phys
- M
- 1993
(Show Context)
Citation Context ...o derived for other types of nonlinear resonators: resonator with a nonlinear photorefractive crystal [37], resonator with parametricsnonlinearity [38, 39], and passive driven nonlinearKerr resonator =-=[40, 41]-=-. In parallel to the patterns in nonlinear resonators,sthe nonlinear patterns in different optical configurations were studied, such as mirrorless configurationswith unidirectional light propagation i... |

2 |
Polarization instability, multistability and transverse localized structures in Kerr media, Chaos Soliton Fract
- Haelterman, Sheppard
- 1994
(Show Context)
Citation Context ...erent optical configurations were studied, such as mirrorless configurationswith unidirectional light propagation in nonlinearsmedia, leading to filamentation effects and formation of bright solitons =-=[42]-=-, optical vortices [43],scounterpropagating configuration leading to hexagons [44], systems with a feedback loop, showing aslarge variety of extended patterns [45, 46]. Coming back to nonlinear resona... |

2 |
N.I. Controlling transverse-wave interactions in nonlinear optics: generation and interaction of spatiotemporal structures
- Akhmanov, Vorontsov, et al.
- 1992
(Show Context)
Citation Context ...cts and formation of bright solitons [42], optical vortices [43],scounterpropagating configuration leading to hexagons [44], systems with a feedback loop, showing aslarge variety of extended patterns =-=[45, 46]-=-. Coming back to nonlinear resonators, varioussphenomena have been studied. One exotic formation is an optical vortex [32, 33, 47–50] which cansshow chaotic dynamics (vortex mediated turbulence) [51, ... |

2 | of optical vortices in a laser beam - Dynamics - 1992 |

2 | and dark solitons in the twodimensional nonlinear Schrödinger equation, Chaos Soliton Fract - Vortices - 1994 |

2 |
G.L. Dynamics of spiral waves in a spatially inhomogeneous Hopf bifurcation, Phys
- K
- 1992
(Show Context)
Citation Context ..., 46]. Coming back to nonlinear resonators, varioussphenomena have been studied. One exotic formation is an optical vortex [32, 33, 47–50] which cansshow chaotic dynamics (vortex mediated turbulence) =-=[51, 52]-=-, the vortices that can arrange in regular vortex lattices [53–55], and the like. Another relevant localized structure is a bright dissipative solitonsin bistable nonlinear resonators, in bistable las... |

2 | C.O. Nonstationary vortex lattices in large-aperture class - unknown authors - 1995 |

2 | C.O. Spatial localized structures in resonators with saturable absorber, Opt - K - 1998 |

2 |
V.J. Localized structures in degenerate optical parametric oscillators
- unknown authors
- 1997
(Show Context)
Citation Context ...ucture is a bright dissipative solitonsin bistable nonlinear resonators, in bistable laserss(with saturable absorbers) [56–58], in passive nonlinear resonators [59], in optical parametric oscillators =-=[60, 61]-=-, and in vertical surface cavity emissionslasers [62–64]. Also, phase solitons (related with thesbistability of the phase) should be mentioned as interesting localized formations of light [65–67]. Ver... |

2 | F. Multistable localized structures and superlattices in semiconductor optical resonators, Phys - U - 1997 |

2 | L.A. Spatial solitons in semiconductor microcavities, Phys - F - 1998 |

2 |
turing structures and spatial solitons in optical parametric oscillators
- Three-dimensional
- 1998
(Show Context)
Citation Context ...esbistability of the phase) should be mentioned as interesting localized formations of light [65–67]. Verysdifferent issues have been considered, such as threedimensional patterns (localized bullets) =-=[68, 69]-=-,s“rocked” resonators [70, 71], to mention a few. Generally, the character of the above-discussedslight patterns in nonlinear resonators is stronglysdependent on diffraction of resonators. Some earlys... |

2 |
Valcárcel and K. Staliunas, Excitation of phase patterns and spatial solitons via twofrequency forcing of a 1:1 resonance, Phys
- de
- 2003
(Show Context)
Citation Context ...ould be mentioned as interesting localized formations of light [65–67]. Verysdifferent issues have been considered, such as threedimensional patterns (localized bullets) [68, 69],s“rocked” resonators =-=[70, 71]-=-, to mention a few. Generally, the character of the above-discussedslight patterns in nonlinear resonators is stronglysdependent on diffraction of resonators. Some earlysattempts were made to eliminat... |

2 |
formation through phase bistability in oscillatory systems with space-modulated forcing
- J, Pattern
- 2010
(Show Context)
Citation Context ...ould be mentioned as interesting localized formations of light [65–67]. Verysdifferent issues have been considered, such as threedimensional patterns (localized bullets) [68, 69],s“rocked” resonators =-=[70, 71]-=-, to mention a few. Generally, the character of the above-discussedslight patterns in nonlinear resonators is stronglysdependent on diffraction of resonators. Some earlysattempts were made to eliminat... |

2 |
C.O. Nonlinear pattern formation in active optical systems: shocks, domains of tilted waves, and cross-roll
- G
- 1997
(Show Context)
Citation Context ...light patterns in nonlinear resonators is stronglysdependent on diffraction of resonators. Some earlysattempts were made to eliminate the diffractionsof the resonator by using self-imaging geometriess=-=[72]-=-. As an alternative, the modulation of the intracavity refraction index was proposed to manipulate diffraction, bringing to subdiffractive solitonss[73, 74], hyperbolic patterns [75, 76], or eliminati... |

2 |
dissipative spatial solitons, Phys
- Midband
- 2003
(Show Context)
Citation Context ... the resonator by using self-imaging geometriess[72]. As an alternative, the modulation of the intracavity refraction index was proposed to manipulate diffraction, bringing to subdiffractive solitonss=-=[73, 74]-=-, hyperbolic patterns [75, 76], or elimination of spatial instabilities of the patterns [27, 28].sFurther works on the topic of modulated resonators (or resonators filled with PhCs) are reviewed insth... |

2 |
solitons in nonlinear photonic crystal resonators, Phys
- Midband
- 2004
(Show Context)
Citation Context ... the resonator by using self-imaging geometriess[72]. As an alternative, the modulation of the intracavity refraction index was proposed to manipulate diffraction, bringing to subdiffractive solitonss=-=[73, 74]-=-, hyperbolic patterns [75, 76], or elimination of spatial instabilities of the patterns [27, 28].sFurther works on the topic of modulated resonators (or resonators filled with PhCs) are reviewed insth... |

2 |
Experimental demonstration of hyperbolic patterns
- Staliunas, Valcárcel
- 2008
(Show Context)
Citation Context ...maging geometriess[72]. As an alternative, the modulation of the intracavity refraction index was proposed to manipulate diffraction, bringing to subdiffractive solitonss[73, 74], hyperbolic patterns =-=[75, 76]-=-, or elimination of spatial instabilities of the patterns [27, 28].sFurther works on the topic of modulated resonators (or resonators filled with PhCs) are reviewed insthe introductory part of the mai... |