Numerical calculation of interparticle forces arising in association with holographic assembly.

Recent advances in dynamic holography have resulted in spatial light modulators capable of producing an almost limitless variety of field distributions from a single incident beam. Holographic assembly is a technique that exploits this capability to generate and control multiple foci that can be used to trap and manipulate nanoparticles. Although the forces associated with conventional optical tweezers are well understood, the effects arising from the more complicated interactions associated with holographic assembly are not. We present a general and flexible method, based on T matrix theory, for investigating these effects and use it to calculate the forces between particles in a variety of optical environments.

[1]  Michael I. Mishchenko,et al.  Calculation of the T matrix and the scattering matrix for ensembles of spheres , 1996 .

[2]  K. Fuller Scattering and absorption cross sections of compounded spheres. I.Theory for external aggregation , 1994 .

[3]  Brian Stout,et al.  Optical force calculations in arbitrary beams by use of the vector addition theorem , 2005 .

[4]  Yu-zhu Wang,et al.  Numerical modeling of optical levitation and trapping of the "stuck" particles with a pulsed optical tweezers. , 2005, Optics express.

[5]  A. Ashkin Acceleration and trapping of particles by radiation pressure , 1970 .

[6]  Miles J. Padgett,et al.  Lights, action: Optical tweezers , 2002 .

[7]  H. Rubinsztein-Dunlop,et al.  Numerical modelling of optical trapping , 2001 .

[8]  Lukas Novotny,et al.  Theory of Nanometric Optical Tweezers , 1997 .

[9]  R. Gauthier,et al.  Computation of the optical trapping force using an FDTD based technique. , 2005, Optics express.

[10]  Gérard Gouesbet,et al.  Rigorous justification of the localized approximation to the beam-shape coefficients in generalized Lorenz–Mie theory. I. On-axis beams , 1994 .

[11]  Satoshi Kawata,et al.  Radiation Force Exerted on Subwavelength Particles near a Nanoaperture , 1999 .

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

[13]  H. Tiziani,et al.  Multi-functional optical tweezers using computer-generated holograms , 2000 .

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

[15]  H Garcia-Molina,et al.  Hamaker Constants of Systems Involving Water Obtained from a Dielectric Function That Fulfills the f Sum Rule. , 2000, Journal of colloid and interface science.

[16]  D. White Vector finite element modeling of optical tweezers , 2000 .

[17]  H. Rubinsztein-Dunlop,et al.  Multipole Expansion of Strongly Focussed Laser Beams , 2003 .

[18]  J. Lock,et al.  Partial-wave representations of laser beams for use in light-scattering calculations. , 1995, Applied optics.

[19]  Jesper Glückstad,et al.  Dynamic array generation and pattern formation for optical tweezers , 2000 .

[20]  Andrew A. Lacis,et al.  Scattering, Absorption, and Emission of Light by Small Particles , 2002 .

[21]  Y L Xu,et al.  Electromagnetic scattering by an aggregate of spheres. , 1995, Applied optics.

[22]  H. Rubinsztein-Dunlop,et al.  Calculation and optical measurement of laser trapping forces on non-spherical particles , 2001 .

[23]  J. P. Barton,et al.  Theoretical determination of net radiation force and torque for a spherical particle illuminated by a focused laser beam , 1989 .