Open AccessIntegral localized approximation description of ordinary Bessel beams and application to optical trapping forces
Author(s) -
Leonardo André Ambrosio,
H.E. Hernández-Figueroa
Publication year - 2011
Publication title -
biomedical optics express
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.362
H-Index - 86
ISSN - 2156-7085
DOI - 10.1364/boe.2.001893
Subject(s) - bessel function , bessel beam , optical tweezers , optics , beam (structure) , physics , light beam , numerical analysis , numerical integration , coordinate system , mathematical analysis , mathematics , geometry
Ordinary Bessel beams are described in terms of the generalized Lorenz-Mie theory (GLMT) by adopting, for what is to our knowledge the first time in the literature, the integral localized approximation for computing their beam shape coefficients (BSCs) in the expansion of the electromagnetic fields. Numerical results reveal that the beam shape coefficients calculated in this way can adequately describe a zero-order Bessel beam with insignificant difference when compared to other relative time-consuming methods involving numerical integration over the spherical coordinates of the GLMT coordinate system, or quadratures. We show that this fast and efficient new numerical description of zero-order Bessel beams can be used with advantage, for example, in the analysis of optical forces in optical trapping systems for arbitrary optical regimes.