Theory of trapping forces in optical tweezers

Starting from a Debye-type integral representation valid for a laser beam focused through a high numerical aperture objective, we derive an explicit partial-wave (Mie) representation for the force exerted on a dielectric sphere of arbitrary radius, position and refractive index. In the semi-classica...

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Veröffentlicht in:	Proceedings of the Royal Society. A, Mathematical, physical, and engineering sciences Mathematical, physical, and engineering sciences, 2003-12, Vol.459 (2040), p.3021-3041
Hauptverfasser:	Mazolli, A., Maia Neto, P. A., Nussenzveig, H. M.
Format:	Artikel
Sprache:	eng
Schlagworte:	Approximation Coefficients Electric fields Laser beams Magnetic fields Mie Scattering Multipoles Optical Traps Semiclassical Limit Sine function Stiffness Tweezers Wavelengths
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container_title	Proceedings of the Royal Society. A, Mathematical, physical, and engineering sciences
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creator	Mazolli, A. Maia Neto, P. A. Nussenzveig, H. M.
description	Starting from a Debye-type integral representation valid for a laser beam focused through a high numerical aperture objective, we derive an explicit partial-wave (Mie) representation for the force exerted on a dielectric sphere of arbitrary radius, position and refractive index. In the semi-classical limit, the ray-optics result is shown to follow from the Mie expansion, holding in the sense of a size average. The equilibrium position and trap stiffness oscillate as functions of the circumference-to-wavelength ratio, a signature of interference, not predicted by previous theories. We also present comparisons with experimental results.
doi_str_mv	10.1098/rspa.2003.1164
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subjects	Approximation Coefficients Electric fields Laser beams Magnetic fields Mie Scattering Multipoles Optical Traps Semiclassical Limit Sine function Stiffness Tweezers Wavelengths
title	Theory of trapping forces in optical tweezers
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