Exact theory of optical forces of Mie scatterers exposed to high numerical aperture beams examined with 3D photonic force measurements

Antonio A. R. Neves; Adriana Fontes; Wendel L. Moreira; André A. de Thomaz; Diogo B. de Almeida; Luiz C. Barbosa; Carlos L. Cesar

doi:10.1117/12.700935

9 February 2007 Exact theory of optical forces of Mie scatterers exposed to high numerical aperture beams examined with 3D photonic force measurements

Antonio A. R. Neves, Adriana Fontes, Wendel L. Moreira, André A. de Thomaz, Diogo B. de Almeida, Luiz C. Barbosa, Carlos L. Cesar

Author Affiliations +

Proceedings Volume 6483, Complex Light and Optical Forces; 648309 (2007) https://doi.org/10.1117/12.700935
Event: Integrated Optoelectronic Devices 2007, 2007, San Jose, California, United States

Abstract

One very important contribution of the Optical Tweezers technique is its ability to extract the missing mechanical measurements in the world of microorganisms and cells that could be correlated to biochemical information. A microsphere displacement is the preferential force transducer for this kind of measurement. However, the typical conditions used in Optical Tweezers with very high numerical aperture beams and microspheres with diameters up to ten wavelengths, requires a full vectorial description of the incident beam in partial waves with the origin of coordinate system at the center of the microsphere and not at the focus of the beam. Using the Angular Spectrum Representation of the incident beam and an analytical expression for integrals involving associated Legendre Polynomials, Bessel functions and plane waves we have been able to obtain a closed expression, without any approximation, for the beam shape coefficients of any orthogonally incident beam. The theoretical prediction of the theory agrees well with the experimental results performed on a 3D positioned dual trap in an upright standard optical microscope, thus obtaining the whole optical force curves as a function of the microsphere center for different wavelengths.

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Antonio A. R. Neves, Adriana Fontes, Wendel L. Moreira, André A. de Thomaz, Diogo B. de Almeida, Luiz C. Barbosa, and Carlos L. Cesar "Exact theory of optical forces of Mie scatterers exposed to high numerical aperture beams examined with 3D photonic force measurements", Proc. SPIE 6483, Complex Light and Optical Forces, 648309 (9 February 2007); https://doi.org/10.1117/12.700935

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KEYWORDS

Optical tweezers

Optical spheres

Particles

Beam shaping

Polarization

Electromagnetism

3D metrology

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