This paper concerns the mathematical model and simulation of forces on Mie micro-particles in laser trap. To make the
mathematical models suitable for particles with arbitrary shape, the surface of Mie particle is divided into many microplanes,
then the radiation pressure resulting from the interaction between a single incident light and a micro-plane and a
individual ray tracing is obtained using the geometrical optical theory. A computer simulation program based on this
mathematical model is designed to calculate the trapping force on Mie micro-particles with arbitrary shape (sphere, cone,
polyhedron and particle with smooth surface).The simulation result for the trapping forces of spherical particles is
consistent with that in reference [1], and comparisons are made between spherical particles and spherical particles
reconstructed from NURBS, and between conical particles and conical particles reconstructed from polyhedron. These
results verify the simulation program, so it can be an effective design and analysis tool for the application of laser
trapping in nanometer testing and manufacturing.
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