Computational modeling of optical manipulation of dielectric objects in complex optical fields and microfluidic flow

The response of the biological cells to optical manipulation in the bio-microfluidic devices is strongly influenced by the flow and motion inertia. There is a variety of microfluidic architectures in which both the cell-fluid interaction and the optical field are driving forces for segregation and manipulation of the cells. We developed a computational tool for analysis/optimization of these devices. The tool consists of two parts: an optical force library generator and the computational fluid dynamics solver with coupled optical force field. The optical force library can be computed for spherical and non-spherical objects of rotational symmetry and for complex optical fields. The basic idea of our method is to a) represent an incident optical field at the biological cell location as an angular spectrum of plane waves; b) compute the scattered field, being a coherent superposition of the scattered fields coming from each of the incident plane waves, with the powerful T-matrix method used to compute the amplitude matrix; c) use the incident and computed scattered fields to build a spatial map of optical forces exerted on biological cells at different locations in the optical beam coordinate system, and d) apply the library of optical forces to compute laser beam manipulation in microfluidic devices. The position and intensity of the optical field in the microfluidic device may be dynamic, thus optical forces in microfluidic device are based on the instantaneous relative location of the cell in the beam coordinate system. The cell is simulated by the macroparticle that undergoes mutual interactions with the fluid. We will present the exemplary applications of the code.

[1]  P. Waterman Matrix formulation of electromagnetic scattering , 1965 .

[2]  M. Mishchenko,et al.  Electromagnetic Scattering by Nonspherical Particles , 2003 .

[3]  J. Gordon,et al.  Motion of atoms in a radiation trap , 1980 .

[4]  Emil Wolf,et al.  Principles of Optics: Optics of metals , 1999 .

[5]  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 .

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

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

[8]  Steven M. Block,et al.  Optical trapping of metallic Rayleigh particles. , 1994, Optics letters.

[9]  P. D. Higdon,et al.  On the general properties of polarised light conventional and confocal microscopes , 1998 .

[10]  Emil Wolf,et al.  Principles of Optics: Contents , 1999 .

[11]  Arthur Ashkin,et al.  Atomic-Beam Deflection by Resonance-Radiation Pressure , 1970 .

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

[13]  Masud Mansuripur,et al.  Distribution of light at and near the focus of high-numerical-aperture objectives , 1986 .

[14]  A. Ashkin,et al.  Optical trapping and manipulation of neutral particles using lasers. , 1997, Proceedings of the National Academy of Sciences of the United States of America.

[15]  James P. Gordon,et al.  Radiation Forces and Momenta in Dielectric Media , 1973 .

[16]  Andrew K. Dunn,et al.  Three-dimensional computation of light scattering from cells , 1996 .

[17]  Arthur Ashkin,et al.  Trapping of Atoms by Resonance Radiation Pressure , 1978 .

[18]  A. Doicu,et al.  Plane wave spectrum of electromagnetic beams , 1997 .

[19]  Larry D. Travis,et al.  T-matrix computations of light scattering by large spheroidal particles , 1994 .

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

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

[22]  E. Stelzer,et al.  Optical trapping of dielectric particles in arbitrary fields. , 2001, Journal of the Optical Society of America. A, Optics, image science, and vision.

[23]  E. Stelzer,et al.  Three-dimensional position detection of optically trapped dielectric particles , 2002 .

[24]  Thomas Wriedt,et al.  Using the T‐Matrix Method for Light Scattering Computations by Non‐axisymmetric Particles: Superellipsoids and Realistically Shaped Particles , 2002 .

[25]  B. Draine,et al.  Discrete-Dipole Approximation For Scattering Calculations , 1994 .

[26]  M W Berns,et al.  Parametric study of the forces on microspheres held by optical tweezers. , 1994, Applied optics.