Dimensionless parameters for the design of optical traps and laser guidance systems.

Optical traps are routinely used for the manipulation of neutral particles. However, optical trap design is limited by the lack of an accurate theory. The generalized Lorenz-Mie theory (GLMT) solves the scattering problem for arbitrary particle size and predicts radial forces accurately. Here we show that the GLMT predicts the observed radial and axial forces in a variety of optical manipulators. We also present a dimensionless parameter beta for the prediction of axial forces. Coupled with our correlation for radial escape forces, we now have a set of two simple correlations for the practical design of radiation-force-based systems.

[1]  Arthur Ashkin,et al.  Optical Levitation by Radiation Pressure , 1971 .

[2]  Gérard Gouesbet,et al.  VALIDITY OF THE LOCALIZED APPROXIMATION FOR ARBITRARY SHAPED BEAMS IN THE GENERALIZED LORENZ-MIE THEORY FOR SPHERES , 1999 .

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

[4]  Catherine M. Verfaillie,et al.  Pluripotency of mesenchymal stem cells derived from adult marrow , 2002, Nature.

[5]  L. Goldstein,et al.  Bead movement by single kinesin molecules studied with optical tweezers , 1990, Nature.

[6]  David J. Odde,et al.  Analysis of radiation forces in laser trapping and laser-guided direct writing applications , 2002 .

[7]  M Nieto-Vesperinas,et al.  Resonant radiation pressure on neutral particles in a waveguide. , 2001, Physical review letters.

[8]  Kuan Fang Ren,et al.  Radiation pressure forces exerted on a particle arbitrarily located in a Gaussian beam by using the generalized Lorenz-Mie theory, and associated resonance effects , 1994 .

[9]  Gérard Gréhan,et al.  GENERALIZED LORENZ-MIE THEORIES, FROM PAST TO FUTURE , 2000 .

[10]  G. Gouesbet,et al.  Improved algorithm for electromagnetic scattering of plane waves and shaped beams by multilayered spheres. , 1997, Applied optics.

[11]  K. Svoboda,et al.  Biological applications of optical forces. , 1994, Annual review of biophysics and biomolecular structure.

[12]  Toshimitsu Asakura,et al.  Radiation forces on a dielectric sphere in the Rayleigh scattering regime , 1996 .

[13]  J. Spudich,et al.  Single myosin molecule mechanics: piconewton forces and nanometre steps , 1994, Nature.

[14]  B G de Grooth,et al.  Experimental and theoretical investigations on the validity of the geometrical optics model for calculating the stability of optical traps. , 1991, Cytometry.

[15]  J. P. Barton.  Effects of surface perturbations on the quality and the focused-beam excitation of microsphere resonance , 1999 .

[16]  Scattering of a gaussian beam by an infinite cylinder with arbitrary location and arbitrary orientation: numerical results. , 1999, Applied optics.

[17]  G. Roosen,et al.  Optical levitation by means of two horizontal laser beams: A theoretical and experimental study , 1976 .

[18]  G Gouesbet,et al.  Integral localized approximation in generalized lorenz-mie theory. , 1998, Applied optics.

[19]  F. C. MacKintosh,et al.  Determining Microscopic Viscoelasticity in Flexible and Semiflexible Polymer Networks from Thermal Fluctuations , 1997 .

[20]  D. Odde,et al.  Tensile force-dependent neurite elicitation via anti-beta1 integrin antibody-coated magnetic beads. , 2003, Biophysical journal.

[21]  P. Bartlett,et al.  Three-dimensional force calibration of a single-beam optical gradient trap , 2002 .

[22]  D. Odde,et al.  Laser-guided direct writing of living cells. , 2000, Biotechnology and bioengineering.

[23]  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 .

[24]  J. Käs,et al.  The optical stretcher: a novel laser tool to micromanipulate cells. , 2001, Biophysical journal.

[25]  D. Odde,et al.  Laser-guided direct writing for applications in biotechnology. , 1999, Trends in biotechnology.

[26]  C. Schmidt,et al.  Interference model for back-focal-plane displacement detection in optical tweezers. , 1998, Optics letters.

[27]  Michelle D. Wang,et al.  Force and velocity measured for single molecules of RNA polymerase. , 1998, Science.

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

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

[30]  Michael W. Berns,et al.  Radiation trapping forces on microspheres with optical tweezers , 1993 .

[31]  Optical Traps as Force Transducers: The Effects of Focusing the Trapping Beam through a Dielectric Interface , 2000 .

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