Theory of optical trapping by an optical vortex beam.

We propose a theory to explain optical trapping by optical vortices (OVs), which are emerging as important tools to trap mesoscopic particles. The common perception is that the trapping is solely due to the gradient force and that it may be characterized by three real force constants. However, we show that the OV trap can exhibit complex force constants, implying that the trapping must be stabilized by ambient damping. At different damping levels, particles exhibit remarkably different dynamics, such as stable trapping and periodic and aperiodic orbital motions.

[1]  D. Grier,et al.  Microoptomechanical pumps assembled and driven by holographic optical vortex arrays. , 2004, Optics express.

[2]  Grover A. Swartzlander,et al.  Simultaneous trapping of low-index and high-index microparticles observed with an optical-vortex trap , 1999 .

[3]  B. Hecht,et al.  Principles of nano-optics , 2006 .

[4]  Adriana Fontes,et al.  Electromagnetic forces for an arbitrary optical trapping of a spherical dielectric. , 2006, Optics express.

[5]  H. Rubinsztein-Dunlop,et al.  Constant power optical tweezers with controllable torque. , 2009, Optics letters.

[6]  M J Padgett,et al.  Intrinsic and extrinsic nature of the orbital angular momentum of a light beam. , 2002, Physical review letters.

[7]  Kishan Dholakia,et al.  Transfer of orbital angular momentum to an optically trapped low-index particle , 2002 .

[8]  Alexander Jesacher,et al.  Size selective trapping with optical "cogwheel" tweezers. , 2004, Optics express.

[9]  D. Grier.  A revolution in optical manipulation , 2003, Nature.

[10]  H. Rubinsztein-Dunlop,et al.  Optical trapping of absorbing particles , 2003, physics/0310022.

[11]  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.

[12]  S. Cabrini,et al.  Laser trapping and micro-manipulation using optical vortices , 2004, Digest of Papers. 2004 International Microprocesses and Nanotechnology Conference, 2004..

[13]  D. S. Bradshaw,et al.  Interactions between spherical nanoparticles optically trapped in Laguerre-Gaussian modes. , 2005, Optics letters.

[14]  Lukas Novotny,et al.  Principles of Nano-Optics by Lukas Novotny , 2006 .

[15]  Miles J. Padgett,et al.  Three-dimensional optical confinement of micron-sized metal particles and the decoupling of the spin and orbital angular momentum within an optical spanner , 2000 .

[16]  H. Rubinsztein-Dunlop,et al.  Mechanical Effects of Optical Vortices , 1999 .

[17]  Grover A. Swartzlander,et al.  Trapping of low-index microparticles in an optical vortex , 1998 .

[18]  N B Viana,et al.  Towards absolute calibration of optical tweezers. , 2007, Physical review. E, Statistical, nonlinear, and soft matter physics.

[19]  David McGloin,et al.  Spin-to-orbital angular momentum conversion in a strongly focused optical beam. , 2007, Physical review letters.

[20]  Paul Glendinning,et al.  Stability, instability and chaos , by Paul Glendinning. Pp. 402. £45. 1994. ISBN 0 521 41553 5 (hardback); £17.95 ISBN 0 521 42566 2 (paperback) (Cambridge). , 1997, The Mathematical Gazette.

[21]  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.

[22]  Stephen M. Barnett,et al.  Orbital angular momentum and nonparaxial light beams , 1994 .

[23]  Kishan Dholakia,et al.  Optical Tweezers With Increased Axial Trapping Efficiency , 1998 .

[24]  M J Padgett,et al.  Mechanical equivalence of spin and orbital angular momentum of light: an optical spanner. , 1997, Optics letters.

[25]  Kishan Dholakia,et al.  Optical micromanipulation takes hold , 2006 .

[26]  Alexander Rohrbach,et al.  Stiffness of optical traps: quantitative agreement between experiment and electromagnetic theory. , 2005, Physical review letters.

[27]  Towards absolute calibration of optical tweezers. , 2007 .

[28]  Ping Sheng,et al.  Photonic clusters formed by dielectric microspheres : Numerical simulations , 2005, cond-mat/0501733.

[29]  S. Chu,et al.  Observation of a single-beam gradient force optical trap for dielectric particles. , 1986, Optics letters.

[30]  J. B. Pendry,et al.  Electromagnetic forces in photonic crystals , 1999 .

[31]  H. Rubinsztein-Dunlop,et al.  Determination of the force constant of a single-beam gradient trap by measurement of backscattered light. , 1996, Applied optics.

[32]  D. Cojoc,et al.  Mechanism of angular momentum exchange between molecules and Laguerre-Gaussian beams. , 2006, Physical review letters.

[33]  Kishan Dholakia,et al.  Gaussian beams with very high orbital angular momentum , 1997 .

[34]  Paul Glendinning.  Stability, Instability and Chaos: CHAOS , 1994 .