Particle and Aerosol Research
Vol. 14, No. 1, March 2018, Pages 1-8
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ISSN : 1738-8716 (Print)
ISSN : 2287-8130 (Online)
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Analytical approximation of optical force on a perfectly
reflecting sphere: ray-optics regime
Sang Bok Kim1), Dong Keun Song1)
1)Department of Environmental Machinery, Environment System Research Division
Korea Institute of Machinery and Materials
*Corresponding author.
Tel.: +82-42-868-7271, E-mail: dksong@kimm.re.kr
Received 16 March 2018, Revised 22 March 2018, Accepted 23 March 2018, Available online 31 March 2018
http://dx.doi.org/10.11629/jpaar.2018.14.1.001
Abstracts
The optical force on a perfectly reflecting sphere in a ray-optics regime is considered. With the assumption of
geometric optics and a sphere smaller than the minimum waist of the illuminating beam, closed-form analytic
expressions of the optical force are derived. Both axial and radial forces are expressed by a modified Bessel function
of the first kind. The derived analytic expressions are compared to precise numerical computations of the exact optical
force equations derived previously. In addition the error due to the small sphere assumption is estimated analytically.
Keywords
Optical force, Perfectly reflecting sphere, Sonine integral, Bessel function
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