Structure and scaling of helical modes of light.

Modes of light that contain topological defects such as screw dislocations can be focused into optical traps with interesting and useful properties. The way in which the intensity distribution within helical modes of light varies with topological charge is discussed, and new scaling predictions for their radial profiles that are consistent with experimental observations are introduced.

[1]  Irene A. Stegun,et al.  Handbook of Mathematical Functions. , 1966 .

[2]  Miles J. Padgett,et al.  Optical tweezers and optical spanners with Laguerre-Gaussian modes , 1996 .

[3]  David G Grier,et al.  Structure of optical vortices. , 2003, Physical review letters.

[4]  Z. Sacks,et al.  Holographic formation of optical-vortex filaments , 1998 .

[5]  D. Grier,et al.  Sorting mesoscopic objects with periodic potential landscapes: optical fractionation. , 2004, Physical review. E, Statistical, nonlinear, and soft matter physics.

[6]  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.

[7]  S. Barnett,et al.  Measuring the orbital angular momentum of a single photon. , 2002, Physical review letters.

[8]  Jennifer E. Curtis,et al.  Dynamic holographic optical tweezers , 2002 .

[9]  Norman R. Heckenberg,et al.  Topological charge and angular momentum of light beams carrying optical vortices , 1997 .

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

[11]  Kishan Dholakia,et al.  The Production Of Multiringed Laguerre-Gaussian Modes By Computer-Generated Holograms , 1998 .

[12]  R. Jenkins,et al.  The generation of optical vortices and shape preserving vortex arrays in hollow multimode waveguides , 2001 .

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

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

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

[16]  W Sibbett,et al.  Creation and Manipulation of Three-Dimensional Optically Trapped Structures , 2002, Science.

[17]  David G Grier,et al.  Modulated optical vortices. , 2003, Optics letters.

[18]  David G. Grier,et al.  Sorting by Periodic Potential Energy Landscapes: Optical Fractionation , 2003, cond-mat/0310396.

[19]  David McGloin,et al.  Applications of spatial light modulators in atom optics. , 2003, Optics express.

[20]  Takahiro Kuga,et al.  Novel Optical Trap of Atoms with a Doughnut Beam , 1997 .

[21]  Michael V Berry,et al.  Optical vortices evolving from helicoidal integer and fractional phase steps , 2004 .

[22]  Miles J. Padgett,et al.  The Poynting vector in Laguerre-Gaussian laser modes , 1995 .

[23]  J. P. Woerdman,et al.  Orbital angular momentum of light and the transformation of Laguerre-Gaussian laser modes. , 1992, Physical review. A, Atomic, molecular, and optical physics.