(1+1)-Dimensional modulation instability of spatially incoherent light

We present a comprehensive study of the one-dimensional modulation instability of partially spatially incoherent light in noninstantaneous self-focusing media. For this instability to occur, the nonlinearity has to exceed a specific threshold that depends on the coherence properties of the beam. Above this threshold a uniform-intensity partially spatially coherent wave front becomes unstable and breaks up into periodic trains of one-dimensional stripes.

[1]  M Segev,et al.  Modulation instability and pattern formation in spatially incoherent light beams. , 2000, Science.

[2]  M. Segev,et al.  Theory of Incoherent Dark Solitons , 1998 .

[3]  Demonstration of cw soliton trains at 10, 40 and 160 GHz by means of induced modulation instability , 1997, Proceedings of Optical Fiber Communication Conference (.

[4]  Mordechai Segev,et al.  Self-trapping of incoherent white light , 1997, Nature.

[5]  Demetrios N. Christodoulides,et al.  Multimode Incoherent Spatial Solitons in Logarithmically Saturable Nonlinear Media , 1998 .

[6]  D. Christodoulides,et al.  Modulational instability of quasi-plane-wave optical beams biased in photorefractive crystals , 1996 .

[7]  Demetrios N. Christodoulides,et al.  Observation of Multihump Multimode Solitons , 1998 .

[8]  K. Bekki Group-Cluster Merging and the Formation of Starburst Galaxies , 1998, astro-ph/9811117.

[9]  Demetrios N. Christodoulides,et al.  Bright, dark, and gray spatial soliton states in photorefractive media , 1995 .

[10]  M. Segev,et al.  Theory Of Incoherent Self-focusing In Biased Photorefractive Media , 1997, QELS '97., Summaries of Papers Presented at the Quantum Electronics and Laser Science Conference.

[11]  A. Hasegawa Envelope soliton of random phase waves , 1977 .

[12]  K. West,et al.  Strongly Anisotropic Electronic Transport at Landau Level Filling Factor [nu] =9/2 and [nu] =5/2 under a Tilted Magnetic Field , 1999, cond-mat/9903160.

[13]  S V Chernikov,et al.  Generation of a train of fundamental solitons at a high repetition rate in optical fibers. , 1989, Optics letters.

[14]  Chen,et al.  Self-Trapping of Partially Spatially Incoherent Light. , 1996, Physical review letters.

[15]  M. Torres-Cisneros,et al.  Experimental evidence of modulation instability in a photorefractive Bi(12)TiO(20) crystal. , 1995, Optics letters.

[16]  A. Hasegawa,et al.  Dynamics of an ensemble of plane waves in nonlinear dispersive media , 1975 .

[17]  Kip,et al.  Eliminating the transverse instabilities of kerr solitons , 2000, Physical review letters.

[18]  Self-interaction of incoherent light beams , 1974 .

[19]  Hasegawa,et al.  Observation of modulational instability in optical fibers. , 1986, Physical review letters.

[20]  V. J. Emery,et al.  Stripe phases in high-temperature superconductors. , 1999, Proceedings of the National Academy of Sciences of the United States of America.

[21]  V. Karpman Self-modulation of Nonlinear Plane Waves in Dispersive Media , 1967 .

[22]  Dana Z. Anderson,et al.  RADIATION TRANSFER MODEL OF SELF-TRAPPING SPATIALLY INCOHERENT RADIATION BY NONLINEAR MEDIA , 1998 .

[23]  L. Pfeiffer,et al.  Reply to Simon's Comment on "Evidence for an Anisotropic State of Two-Dimensional Electrons in High Landau Levels" , 1998, cond-mat/9808227.

[24]  L. Pfeiffer,et al.  Anisotropic States of Two-Dimensional Electron Systems in High Landau Levels: Effect of an In-Plane Magnetic Field , 1999, cond-mat/9903196.

[25]  A. Snyder,et al.  Partially Coherent Solitons of Variable Shape , 1998 .

[26]  O. Bang,et al.  Collapse of Incoherent Light Beams in Inertial Bulk Kerr Media , 1999 .

[27]  Kim,et al.  Bright spatial solitons on a partially incoherent background , 2000, Physical review letters.

[28]  Wabnitz,et al.  Modulational polarization instability of light in a nonlinear birefringent dispersive medium. , 1988, Physical review. A, General physics.

[29]  M. Segev,et al.  Theory of Self-Trapped Spatially Incoherent Light Beams , 1997 .

[30]  A. Snyder,et al.  Big Incoherent Solitons , 1998 .

[31]  Stegeman,et al.  Optical Spatial Solitons and Their Interactions: Universality and Diversity. , 1999, Science.

[32]  Agrawal,et al.  Modulation instability induced by cross-phase modulation. , 1987, Physical review letters.

[33]  D. Lin,et al.  Structure, stability and evolution of Saturn's rings , 1984, Nature.

[34]  Chen,et al.  Self-trapping of dark incoherent light beams , 1998, Science.

[35]  Marin Soljacic,et al.  Modulation instability of incoherent beams in noninstantaneous nonlinear media , 2000 .

[36]  Nelson V. Tabiryan,et al.  Orientational Optical Nonlinearity of Liquid Crystals , 1985 .

[37]  Segev,et al.  Modulation instability of incoherent beams in noninstantaneous nonlinear media , 2000, Physical review letters.

[38]  M. Peccianti,et al.  Incoherent spatial solitary waves in nematic liquid crystals. , 2001, Optics letters.

[39]  M. Soljačić,et al.  Pattern formation via symmetry breaking in nonlinear weakly correlated systems. , 2002, Physical review. E, Statistical, nonlinear, and soft matter physics.

[40]  B. Shklovskii,et al.  Charge density wave in two-dimensional electron liquid in weak magnetic field. , 1995, Physical Review Letters.

[41]  Anglin,et al.  Motion of dark solitons in trapped bose-einstein condensates , 2000, Physical review letters.

[42]  A. Hasegawa,et al.  Generation of a train of soliton pulses by induced modulational instability in optical fibers. , 1984, Optics letters.

[43]  Z. Chen,et al.  Experiments on induced modulational instability of an incoherent optical beam. , 2001, Optics Letters.

[44]  George I. Stegeman,et al.  Generation of periodic arrays of dark spatial solitons in the regime of effective amplification , 1994, Nonlinear Guided-Wave Phenomena.

[45]  V. I. Bespalov,et al.  Filamentary Structure of Light Beams in Nonlinear Liquids , 1966 .

[46]  M. Segev,et al.  Steady-state spatial screening solitons in photorefractive materials with external applied field. , 1994, Physical review letters.

[47]  Alison Mitchell,et al.  Cell biology: Explorers deliver tea to the pole , 1997, Nature.

[48]  George C. Valley,et al.  Photorefractive screening solitons of high and low intensity , 1996 .

[49]  Govind P. Agrawal,et al.  Nonlinear Fiber Optics , 1989 .

[50]  A. Hasegawa,et al.  Tunable coherent IR and FIR sources utilizing modulational instability , 1980 .