Файл: Staliunas K., Sanchez-Morcillo V.J. (eds.) Transverse Patterns in Nonlinear Optical Resonators(ST.pdf
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24 1 Introduction
(1999); G. Tissoni, L. Spinelli, M. Brambilla, T. Maggipinto, I. Perrini and L.A. Lugiato, Cavity solitons in passive bulk semiconductor microcavities. II. Dynamical properties and control, J. Opt. Soc. Am. B 16, 2095 (1999). 7
88.T. Maggipinto, M. Brambilla, G. Harkness and W. J. Firth, Cavity solitons in semiconductor microresonators: existence, stability, and dynamical properties, Phys. Rev. E 62, 8726 (2000). 7
89.L. Spinelli and M. Brambilla, Signal amplification by means of cavity solitons in semiconductor microcavities, Eur. Phys. J. D 6, 523 (1999). 7
90.V.B. Taranenko, I. Ganne, R.J. Kuszelewicz and C.O. Weiss, Patterns and localized structures in bistable semiconductor resonators, Phys. Rev. A 61, 0638818 (2000). 7
91.R. Vilaseca, M.C. Torrent, J. Garc´ıa-Ojalvo, M. Brambilla and M. San Miguel, Two-photon cavity solitons in active optical media, Phys. Rev. Lett. 87, 083902 (2001). 7
92.S. Longhi, Dark solitons in degenerate optical parametric oscillators, Opt. Lett. 21, 860 (1996). 7
93.S. Trillo, M. Haelterman and A.P. Sheppard, Stable topological spatial solitons in optical parametric oscillators, Opt. Lett. 22, 970 (1997). 7
94.K. Staliunas and V.J. S´anchez-Morcillo, Spatial localized structures in degenerate optical parametric oscillators, Phys. Rev. A 57, 1454 (1998). 7, 8
95.M. Le Berre, D. Leduc, E. Ressayre and A. Tallet, Striped and circular domain walls in the DOPO, J. Opt. B: Quantum Semiclass. Opt. 1, 153 (1999). 7
96.G.L. Oppo, A.J. Scroggie and W.J. Firth, Stabilization of domain walls in optical parametric oscillators, J. Opt. B: Quantum Semiclass. Opt. 1, 133 (1999). 7
97.M. Tlidi, M. Le Berre, E. Ressayre and A. Tallet, High-intensity localized structures in the degenerate optical parametric oscillator: comparison between the propagation and the mean-field models, Phys. Rev. A 61, 043806 (2000). 7
98.M. Le Berre, E. Ressayre and A. Tallet, Kinetics of domain walls in the degenerate optical parametric oscillator, J. Opt. B: Quantum Semiclass. Opt. 2, 347 (2000). 7
99.M. Tlidi, P. Mandel, M. LeBerre, E. Ressayre, A. Tallet and L. Di Menza, Phase-separation dynamics of circular domain walls in the degenerate optical parametric oscillator, Opt. Lett. 25, 487 (2000). 7
100.G.-L. Oppo, A.J. Scroggie and W.J. Firth, Characterization, dynamics and stabilization of di ractive domain walls and dark ring cavity solitons in parametric oscillators, Phys. Rev. E 63, 066209 (2001). 7
101.G. Izus, M. San Miguel and M. Santagiustina, Bloch domain walls in type-II optical parametric oscillators, Opt. Lett. 25, 1454 (2000). 7
102.G. Iz´us, M. San Miguel and M. Santagiustina, Phase-locked spatial domains and Bloch domain walls in type-II optical parametric oscillators, Phys. Rev. E 64, 056231 (2001). 7, 8
103.M. Tlidi, P. Mandel and R. Lefever, Localized structures and localized patterns in optical bistability, Phys. Rev. Lett. 73, 640 (1994). 8
104.M. Tlidi and P. Mandel, Spatio-temporal patterns and localized structures in nonlinear optics, Phys. Rev. E 56, 6524 (1997). 8
105.M. Tlidi and P. Mandel, Scaling laws for localized pattern formation in optical bistability, Europhys. Lett. 44, 449 (1998). 8
References 25
106.M. Tlidi, P. Mandel and R. Lefever, Kinetics of localized pattern formation in optical systems, Phys. Rev. Lett. 81, 979 (1998). 8
107.M. Tlidi and P. Mandel, Space–time localized structures in the degenerate optical parametric oscillator, Phys. Rev. A 59, R2575 (1999). 8
108.K. Staliunas and V.J. S´anchez-Morcillo, Dynamics of domains in the Swift– Hohenberg equation, Phys. Lett. A 241, 28 (1998). 8
109.R. Gallego, M. San Miguel and R. Toral, Selfsimilar domain growth, localized structures and labyrinthine patterns in vectorial Kerr resonators, Phys. Rev. E 61, 2241 (2000). 8
110.E. Hernandez-Garcia, M. Hoyuelos, P. Colet and M. San Miguel, Dynamics of localized structures in vectorial waves, Phys. Rev. Lett. 85, 744 (2000). 8
111.D. Gomila, P. Colet, G.-L. Oppo and M. San Miguel, Stable droplets and growth laws close to the modulational instability of a domain wall, Phys. Rev. Lett. 87, 194101 (2001). 8
112.A.G. Vladimirov, J.M. McSloy, D.V. Skryabin and W.J. Firth, Twodimensional clusters of solitary structures in driven optical cavities, Phys. Rev. E 65, 046606 (2002). 8
113.V.B. Taranenko, K. Staliunas and C.O. Weiss, Pattern formation and localized structures in degenerate optical parametric mixing, Phys. Rev. Lett. 81, 2236 (1998). 8
114.V.B. Taranenko, M. Zander, P. Wobben and C.O. Weiss, Stability of localized structures in degenerate wave mixing, Appl. Phys. B 69, 337 (1999). 8
115.C.O. Weiss, M. Vaupel, K. Staliunas, G. Slekys and V.B. Taranenko, Solitons and vortices in lasers, Appl. Phys. B 68, 151 (1999). 8
116.F. Prati, M. Brambilla and L.A. Lugiato, Pattern formation in lasers, Rivista Nuovo Cimento 17, 1 (1994). 9
117.M. Brambilla, M. Cattaneo, L.A. Lugiato, R. Pirovano, F. Prati, A.J. Kent, G.-L. Oppo, A.B. Coates, C.O. Weiss, C. Green, E.J. D’Angelo and J.R. Tredicce, Dynamical transverse laser patterns I: theory, Phys. Rev. A 49, 1427 (1994). 9
118.H. Lin and N.B. Abraham, Mode formation and beating in the transverse pattern dynamics in a laser, Opt. Commun. 79, 476 (1990). 9
119.A.B. Coates, C.O. Weiss, C. Green, E.J. D’Angelo, J.R. Tredicce, M. Brambilla, M. Cattaneo, L.A. Lugiato, R. Pirovano, F. Prati, A.J. Kent and G.-L. Oppo, Dynamical transverse laser patterns II: experiments, Phys. Rev. A 49, 1452 (1994). 9
120.H. Li, T.L. Lucas, J.G. McInerney and R.A. Morgan, Transverse modes and patterns of electrically pumped vertical-cavity surface-emitting semiconductor lasers, Chaos, Solitons Fractals 4, 1619 (1994). 9
121.A. Barsella, P. Alcantara Jr., L. Guidoni and E. Arimondo, Dynamics of LSA transverse patterns for an infrared CO2 laser with OsO4 intracavity saturable absorber, Opt. Commun. 117, 455 (1995). 9
122.E. Louvergneaux, D. Hennequin, D. Dangoisse and P. Glorieux, Transverse mode competition in a CO2 laser, Phys. Rev A 53, 4435 (1996). 9
123.Z. Chen, N.B. Abraham, S. Balle, E.J. D’Angelo and J.R. Tredicce, Space– time dynamics in the transverse patterns of a laser from a model not restricted a priori to a few modes, Chaos, Solitons Fractals 4, 1489 (1994). 9
124.Q. Feng, J.V. Moloney, and A.C. Newell, Transverse patterns in lasers, Phys. Rev. A 50, R3601 (1994). 9
26 1 Introduction
125.G. Huyet, C. Mathis, H. Grassi, J.R. Tredicce and N.B. Abraham, Regarding standing vs. traveling waves in the transverse spatial patterns of homogeneously and inhomogeneously broadened lasers, Opt. Commun. 111, 488 (1994). 9
126.F. Encinas-Sanz, J.M. Guerra and I. Pastor, Transverse pattern morphogenesis in a CO2 laser, Opt. Lett. 21, 1153 (1996). 9, 10
127.S.P. Hegarty, G. Huyet, J.G. McInerney and K.D. Choquette, Pattern formation in the transverse section of a laser with a large fresnel number, Phys. Rev. Lett. 82, 1434 (1999). 9, 10
128.J. Houlihan, J.R. O’Callaghan, V. Voignier, G. Huyet, J.G. McInerney and B. Corbett, Experimental observation of traveling waves in the transverse section of a laser, Opt. Lett. 26 1556 (2001). 9, 10
129.V.J. S´anchez-Morcillo, G.J. de Valc´arcel, E. Rold´an and K. Staliunas, Traveling wave–standing wave competition in a generalized Swift–Hohenberg equation, Phys. Rev. E 57, R4731 (1998). 9
130.M. Georgiou and P. Mandel, Transverse e ects in a laser with an injected signal, Chaos, Solitons Fractals 4, 1657 (1994). 9
131.S. Longhi, Transverse patterns in a laser with an injected signal, Phys. Rev. A 56, 2397 (1997). 9
132.J. Nalik, L.M. Ho er, G.L. Lippi, C. Vorgerd and W. Lange, Transverse optical bistability and formation of transverse structures in a sodium-filled Fabry– P´erot resonator, Phys. Rev. A 48, R4237 (1992). 9
133.J.B. Geddes, J.V. Moloney, E.M. Wright and W.J. Firth, Polarization patterns in a nonlinear cavity, Opt. Commun. 111, 623 (1994). 9
134.W.J. Firth, A.J. Scroggie, G.S. McDonald and L.A. Lugiato, Hexagonal patterns in optical bistability, Phys. Rev. A 46, R3609 (1992). 9
135.V.B. Taranenko, C.O. Weiss and B. Sch¨apers, From coherent to incoherent hexagonal patterns in semiconductor resonators, Phys. Rev. A 65, 013812 (2002). 9
136.D. Yu, W. Lu and R.G. Harrison, Origin of spiral wave formation in excitable optical systems, Phys. Rev. Lett. 77, 5051 (1996). 9
137.D. Yu, W. Lu and R.G. Harrison, Dynamic bistability and spiral waves in a laser, J. Opt. B: Quantum Semiclass. Opt. 1, 25 (1999). 9
138.P. Lodahl, M. Bache and M. Sa man, Spiral intensity patterns in the internally pumped optical parametric oscillator, Phys. Rev. Lett. 85, 4506 (2000). 9
139.S. Longhi, Spiral waves in a class of optical parametric oscillators, Phys. Rev. E 63, 055202 (2001). 9
140.P. Lodahl and M. Sa man, Pattern formation in singly resonant secondharmonic generation with competing parametric oscillation, Phys. Rev. A 60, 3251 (1999). 10
141.S. Longhi, Hexagonal patterns in multistep optical parametric processes, Opt. Lett. 26, 713 (2001). 10
142.M. Hoyuelos, D. Walgraef, P. Colet and M. San Miguel, Patterns arising from the interaction between scalar and vectorial instabilities in two-photon resonant Kerr cavities, Phys. Rev. E 65, 046620 (2002). 10
143.M. Santagiustina, P. Colet, M. San Miguel and D. Walgraef, Noise-sustained convective structures in nonlinear optics, Phys. Rev. Lett. 79, 3633 (1997). 10
References 27
144.H. Ward, M.N. Ouarzazi, M. Taki and P. Glorieux, Transverse dynamics of optical parametric oscillators in presence of walk-o , Eur. Phys. J. D 33, 275 (1998). 10
145.M. Santagiustina, P. Colet, M. San Miguel and D. Walgraef, Walk-o and pattern selection in optical parametric oscillators, Opt. Lett. 23, 1167 (1998). 10
146.S. Longhi, Nonadiabatic pattern formation in optical parametric oscillators, Phys. Rev. Lett. 84, 5756 (2000). 10
147.S. Longhi, Transverse patterns in nondegenerate intracavity second-harmonic generation, Phys. Rev. A 59, 4021 (1999). 10
148.S. Longhi, Quasipatterns in second-harmonic generation, Phys. Rev. E 59, R24 (1999). 10
149.M. Le Berre, A.S. Patrascu, E. Ressayre and A. Tallet, Daisy patterns in the passive ring cavity with di usion e ects, Opt. Commun. 123, 810 (1996). 10
150.R. Herrero, E. Große Westho , A. Aumann, T. Ackemann, Yu.A. Logvin and W. Lange, Twelvefold quasiperiodic patterns in a nonlinear optical system with continuous rotational symmetry, Phys. Rev. Lett. 82, 4627 (1999). 10
151.M. Vaupel, A. Maitre and C. Fabre, Observation of pattern formation in optical parametric oscillators, Phys. Rev. Lett. 83, 5278 (1999). 10
152.S. Ducci, N. Treps, A. Maˆıtre, and C. Fabre, Pattern formation in optical parametric oscillators, Phys. Rev. A 64, 023803 (2001). 10
153.K. Staliunas, G. Slekys and C.O. Weiss, Nonlinear pattern formation in lasers: shocks, domains of tilted waves, and cross-roll patterns, Phys. Rev. Lett. 79, 2658 (1997). 10
154.K. Staliunas, Three-dimensional Turing structures and spatial solitons in optical parametric oscillators, Phys. Rev. Lett. 81, 81 (1998). 10
155.M. Tlidi, M. Haelterman and P. Mandel, Three-dimensional structures in di ractive and dispersive nonlinear cavities, Quantum Semiclass. Opt. 10, 869 (1998). 10
156.M. Tlidi, Three-dimensional crystals and localized structures in di ractive and dispersive nonlinear ring cavities, J. Opt. B: Quantum Semiclass. Opt. 2, 438 (2000). 10
157.M. Tlidi, M. Haelterman and P. Mandel, 3D patterns and pattern selection in optical bistability, Europhys. Lett. 42, 505 (1998). 10
158.M. Tlidi and P. Mandel, Three-dimensional optical crystals and localized structures in cavity second harmonic generation, Phys. Rev. Lett. 83, 4995 (1999). 10
159.J. Garcia-Ojalvo and J.M. Sancho, Noise in Spatially Extended Systems
(Springer, New York, 1999). 11
160.R.J. Deissler, External noise and the origin and dynamics of structure in convectively unstable systems, J. Stat. Phys. 54, 1459 (1989). 11
161.J. Garcia-Ojalvo, A. Hernandez-Machado and J.M. Sancho, E ects of external noise on the Swift–Hohenberg equation, Phys. Rev. Lett. 71, 1542 (1993). 11
162.R. Mueller, K. Lippert, A. Kuehnel and U. Behn, First-order nonequilibrium phase transition in a spatially extended system, Phys. Rev. E 56, 2658 (1997). 11
163.L.A. Lugiato and A. Gatti, Spatial structure of a squeezed vacuum, Phys. Rev. Lett. 70, 3868 (1993). 11
28 1 Introduction
164.A. Gatti, H. Wiedermann, L.A. Lugiato, I. Marzoli, G.L. Oppo and S.M. Barnett, Langevin treatment of quantum fluctuations and optical patterns in optical parametric oscillators below threshold, Phys. Rev. A 56, 877 (1997). 11
165.R. Zambrini, M. Hoyuelos, A. Gatti, P. Colet, L. Lugiato and M. San Miguel, Quantum fluctuations in a continuous vectorial Kerr medium model, Phys. Rev. A 62, 063801 (2000). 11
166.J. Vi˜nals, E. Hern´andez-Garcia, M. San Miguel and R. Toral, Numerical study of the dynamical aspects of pattern selection in the stochastic Swift– Hohenberg equation in one dimension, Phys. Rev. A 44, 1123 (1991). 11
167.K.R. Elder, J. Vi˜nals and M. Grant, Ordering dynamics in the two-dimensional stochastic Swift-Hohenberg equation, Phys. Rev. Lett. 68, 3024 (1992). 11
168.A.V. Mamaev, M. Sa man, D.Z. Anderson and A.A. Zozulya, Propagation of light beams in anisotropic nonlinear media: from symmetry breaking to spatial turbulence, Phys. Rev. A 54, 870 (1996). 11
169.K. Hayata and M. Koshiba, Multidimensional solitons in quadratic nonlinear media, Phys. Rev. Lett. 71, 3275 (1993). 11
170.W.E. Torruellas, Z. Wang, D.J. Hagan, E.W. VanStryland, G.I. Stegemann,
L.Torner and C.R. Menyuk, Observation of two-dimensional spatial solitary waves in a quadratic medium, Phys. Rev. Lett. 74, 5036 (1995). 11
171.D. Mihalache, D. Mazilu, L.C. Crasovan, L. Torner, B.A. Malomed and F. Lederer, Three-dimensional walking spatiotemporal solitons in quadratic media, Phys. Rev. E 62, 7340 (2000). 11
172.J.J. Garc´ıa-Ripoll, V.M. P´erez-Garc´ıa, E. A. Ostrovskaya and Y. S. Kivshar, Dipole-mode vector solitons, Phys. Rev. Lett. 85, 82 (2000). 11
173.D.V. Skryabin and W.J. Firth, Generation and stability of optical bullets in quadratic nonlinear media, Opt. Commun. 148, 79 (1998). 11
174.M. Mitchell, M. Segev and D.N. Christodoulides, Observation of Multihump Multimode Solitons, Phys. Rev. Lett. 80, 4657 (1998). 11
175.G.I. Stegemann and M. Segev, Optical spatial solitons and their interactions: universality and diversity, Science 286, 1518 (1999). 11
176.Y.S. Kivshar and X. Yang, Dynamics of dark solitons, Chaos, Solitons Fractals 4, 174 (1994). 11
177.M. Haelterman and A.P. Sheppard, Polarization domain walls in di ractive or dispersive Kerr media, Opt. Lett. 19, 96 (1994). 11
178.M. Haelterman and A.P. Sheppard, Bifurcations of the dark soliton and polarization domain walls in Kerr media, Phys. Rev. E 49, 4512 (1994). 11
179.A.P. Sheppard and M. Haelterman, Polarization-domain solitary waves of circular symmetry in Kerr media, Opt. Lett. 19, 859 (1994). 11
180.M. Haelterman and Y. Louis, Optical domain walls in atomic vapors, J. Nonlin. Opt. Phys. Mat. 5, 447 (1996). 11
181.A.V. Mamaev, M. Sa man and A.A. Zozulya, Propagation of dark stripe beams in nonlinear media: snake instability and creation of optical vortices, Phys. Rev. Lett. 76, 2262 (1996). 11
182.D. Neshev, A. Dreischuh, V. Kamenov, I. Stefanov, S. Dinev, W. Fließer and
L.Windholz, Generation and intrinsic dynamics of ring dark solitary waves, Appl. Phys. B 64, 429 (1997). 11
183.A. Dreischuh, G.G. Paulus and F. Zacher, Quasi-two-dimensional dark spatial solitons and generation of mixed phase dislocations, Appl. Phys. B 69, 107 (1999). 11