Author(s)
John J. Curry, Zachary H. Levine
Abstract
We consider the problem of sorting, by size, spherical particles of order 100 nm radius. The scheme we analyze consists of a heterogeneous stream of spherical particles flowing at an oblique angle across a Gaussian mode optical standing wave. Sorting is achieved by the combined spatial dependence and size dependence of the optical force. Particles of all sizes enter the flow at a point, but exit at different locations depending on their size. Here they may be detected optically or separated for further processing. The scheme has the advantages of producing a continuous stream of sorted particles, preserving the particles without alteration, and utilizing a simple, low numerical aperture optical system. We derive the optical force exerted by a plane standing wave on a spherical particle from first principles. The result reduces to the well-known Rayleigh formula in the limit of small radius. For larger radii, the force undergoes irregular oscillations, vanishing for certain values of particle radius. This leads to a number of disjoint ranges of radii which may be sorted relatively easily. In particular, with an optical wavelength of $1064$~nm and particle index of refraction of $1.57$, particles with radius in the neighborhood of 275~nm may be sorted with a resolution below 1~nm. We performed detailed Monte Carlo simulations of particle trajectories through the optical field under the influence of a convective air flow. We also developed a method for deriving effective velocities and diffusion constants from the Fokker-Planck equation that can generate equivalent results much more quickly. This makes it possible to explore various configurations at low computational cost.
Citation
Curry, J.
and Levine, Z.
(2016),
Continuous-feed optical sorting of aerosol particles, Optics Express, [online], https://tsapps.nist.gov/publication/get_pdf.cfm?pub_id=919787 (Accessed April 24, 2026)
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