Propagation dynamics of optical vortices

Optical vortices in linear and nonlinear media may exhibit propagation dynamics similar to hydrodynamic vortex phenomena. Analytical and numerical methods are used to describe and investigate the interaction between vortices and the background field. We demonstrate that optical vortices that have quasi-point core functions, such as optical vortex solitons, may orbit one another at rates that are orders of magnitude larger than those with nonlocalized cores.

[1]  W. J. Firth,et al.  Two-dimensional solitons in a Kerr cavity , 1996 .

[2]  Kestutis Staliunas Vortices and dark solitons in the two-dimensional nonlinear Schrödinger equation , 1994 .

[3]  B Luther-Davies,et al.  Nonlinear rotation of three-dimensional dark spatial solitons in a Gaussian laser beam. , 1994, Optics letters.

[4]  Kestutis Staliunas,et al.  Nonstationary vortex lattices in large-aperture class B lasers , 1995 .

[5]  K. T. Gahagan,et al.  Optical vortex trapping of particles , 1996, Summaries of papers presented at the Conference on Lasers and Electro-Optics.

[6]  Kestutis Staliunas,et al.  Dynamics of optical vortices in a laser beam , 1992 .

[7]  Coates,et al.  Dynamical transverse laser patterns. I. Theory. , 1994, Physical review. A, Atomic, molecular, and optical physics.

[8]  Thorsten Ackemann,et al.  Phase singularities via nonlinear beam propagation in sodium vapor , 1995 .

[9]  Morin,et al.  Dark photorefractive spatial solitons and photorefractive vortex solitons. , 1995, Physical review letters.

[10]  Optical anyons: Atoms trapped on electromagnetic vortices , 1994 .

[11]  A. Ashkin Forces of a single-beam gradient laser trap on a dielectric sphere in the ray optics regime. , 1992, Methods in cell biology.

[12]  J. Goodman Introduction to Fourier optics , 1969 .

[13]  L. Pismen,et al.  On interaction of spiral waves , 1992 .

[14]  Andrew G. White,et al.  Interferometric Measurements of Phase Singularities in the Output of a Visible Laser , 1991 .

[15]  Mikhail V. Vasnetsov,et al.  Optics of light beams with screw dislocations , 1993 .

[16]  Isaac Freund,et al.  Optical dislocation networks in highly random media , 1993 .

[17]  J. P. Woerdman,et al.  Astigmatic laser mode converters and transfer of orbital angular momentum , 1993 .

[18]  N. Bogolyubov On the theory of superfluidity , 1947 .

[19]  A. V. Mamaev,et al.  Propagation of light beams in anisotropic nonlinear media: From symmetry breaking to spatial turbulence. , 1996, Physical review. A, Atomic, molecular, and optical physics.

[20]  A. V. Mamaev,et al.  Wave-front dislocations: topological limitations for adaptive systems with phase conjugation , 1983 .

[21]  H. Rubinsztein-Dunlop,et al.  Laser beams with phase singularities , 1992 .

[22]  M. Feit,et al.  Light propagation in graded-index optical fibers. , 1978, Applied optics.

[23]  Norman R. Heckenberg,et al.  Optical Particle Trapping with Higher-order Doughnut Beams Produced Using High Efficiency Computer Generated Holograms , 1995 .

[24]  Marco W. Beijersbergen,et al.  Helical-wavefront laser beams produced with a spiral phaseplate , 1994 .

[25]  Guy Indebetouw,et al.  Optical Vortices and Their Propagation , 1993 .

[26]  C. Law,et al.  Polarized optical vortex solitons: Instabilities and dynamics in Kerr nonlinear media , 1994 .

[27]  B Luther-Davies,et al.  Vortex soliton motion and steering. , 1996, Optics letters.

[28]  G. V. Uspleniev,et al.  The Phase Rotor Filter , 1992 .

[29]  J. M. Vaughan,et al.  Temporal and interference fringe analysis of TEM 01 * laser modes , 1983 .

[30]  A. Snyder,et al.  Stable black self-guided beams of circular symmetry in a bulk Kerr medium. , 1992, Optics letters.

[31]  Boris Ya Zel'dovich,et al.  Dislocations of the wavefront of a speckle-inhomogeneous field (theory and experiment) , 1981 .

[32]  Kestutis Staliunas,et al.  Vortex statistics in optical speckle fields , 1995 .

[33]  Mikhail V. Vasnetsov,et al.  Screw Dislocations in Light Wavefronts , 1992 .

[34]  Grover A. Swartzlander,et al.  EXPERIMENTAL OBSERVATION OF FLUIDLIKE MOTION OF OPTICAL VORTICES , 1997 .

[35]  E. Abramochkin,et al.  Beam transformations and nontransformed beams , 1991 .

[36]  Law,et al.  Optical vortex solitons observed in Kerr nonlinear media. , 1992, Physical review letters.

[37]  Andrew G. White,et al.  Generation of optical phase singularities by computer-generated holograms. , 1992, Optics letters.

[38]  D. Tang,et al.  Phase-dependent helical pattern formation in a laser , 1995 .

[39]  Caroline Nore,et al.  Numerical study of hydrodynamics using the nonlinear Schro¨dinger equation , 1993 .

[40]  G. Indebetouw,et al.  Model of vortices nucleation in a photorefractive phase-conjugate resonator , 1994 .

[41]  Galina Khitrova,et al.  Transverse modes, vortices and vertical-cavity surface-emitting lasers , 1994 .

[42]  G. Šlekys,et al.  Motion of phase singularities in a class-B laser , 1995 .

[43]  A. Fetter,et al.  Vortices in an Imperfect Bose Gas. I. The Condensate , 1965 .

[44]  F. Schwering,et al.  On the guided propagation of electromagnetic wave beams , 1961 .

[45]  Kestutis Staliunas,et al.  Opticalk vortices during three-wave nonlinear coupling , 1992 .

[46]  Jack Feinberg,et al.  Asymmetric self-defocusing of an optical beam from the photorefractive effect , 1982 .

[47]  Saffman,et al.  Propagation of dark stripe beams in nonlinear media: Snake instability and creation of optical vortices. , 1996, Physical review letters.

[48]  Brambilla,et al.  Restless optical vortex. , 1993, Physical review. A, Atomic, molecular, and optical physics.

[49]  C. Law,et al.  Optical vortex solitons and the stability of dark soliton stripes. , 1993, Optics letters.

[50]  M. Berry,et al.  Dislocations in wave trains , 1974, Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences.

[51]  P. D. Gennes,et al.  Superconductivity of metals and alloys , 1966 .

[52]  Y. Kivshar,et al.  Observation of vortex solitons created by the instability of dark soliton stripes. , 1996, Optics letters.

[53]  He,et al.  Direct observation of transfer of angular momentum to absorptive particles from a laser beam with a phase singularity. , 1995, Physical review letters.

[54]  Dragomir N. Neshev,et al.  Interactions of optical vortex solitons superimposed on different background beams , 1996 .

[55]  Hermann A. Haus,et al.  Large-Scale Self-Trapping of Optical Beams in the Paraxial Ray Approximation , 1968 .

[56]  A. Fetter,et al.  VORTICES IN AN IMPERFECT BOSE GAS. IV. TRANSLATIONAL VELOCITY. , 1966 .

[57]  F. S. Roux Dynamical behavior of optical vortices , 1995 .

[58]  William J. Firth,et al.  Dark spatial soliton break-up in the transverse plane , 1993 .

[59]  M Segev,et al.  Waveguides formed by quasi-steady-state photorefractive spatial solitons. , 1995, Optics letters.

[60]  Isaac Freund,et al.  OPTICAL VORTICES IN GAUSSIAN RANDOM WAVE FIELDS : STATISTICAL PROBABILITY DENSITIES , 1994 .

[61]  K. S. Syed,et al.  Optical vortices in beam propagation through a self-defocussing medium , 1992 .