Please use this identifier to cite or link to this item: http://repositorio.unicamp.br/jspui/handle/REPOSIP/320228
Type: Artigo de Periódico
Title: Expansion Of Arbitrary Electromagnetic Fields In Terms Of Vector Spherical Wave Functions
Author: Moreira
WL; Neves
AAR; Garbos
MK; Euser
TG; Cesar
CL
Abstract: Since 1908, when Mie reported analytical expressions for the fields scattered by a spherical particle upon incidence of plane-waves, generalizing his analysis for the case of an arbitrary incident wave has been an open question because of the cancellation of the prefactor radial spherical Bessel function. This cancellation was obtained before by our own group for a highly focused beam centered in the objective. In this work, however, we show for the first time how these terms can be canceled out for any arbitrary incident field that satisfies Maxwells equations, and obtain analytical expressions for the beam shape coefficients. We show several examples on how to use our method to obtain analytical beam shape coefficients for: Bessel beams, general hollow waveguide modes and specific geometries such as cylindrical and rectangular. Our method uses the vector potential, which shows the interesting characteristic of being gauge invariant. These results are highly relevant for speeding up numerical calculation of light scattering applications such as the radiation forces acting on spherical particles placed in an arbitrary electromagnetic field, as in an optical tweezers system. (C) 2016 Optical Society of America
Subject: Gallery-mode Resonances
Light-scattering
Gaussian-beam
Fiber Taper
Metal Tips
Microscopy
Forces
Microcavity
Excitation
Particles
Editor: OPTICAL SOC AMER
Rights: fechado
Identifier DOI: 10.1364/OE.24.002370
Address: https://osapublishing.ez88.periodicos.capes.gov.br/oe/abstract.cfm?uri=oe-24-3-2370
Date Issue: 2016
Appears in Collections:Unicamp - Artigos e Outros Documentos

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