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Type: Artigo
Title: Expansion Of Arbitrary Electromagnetic Fields In Terms Of Vector Spherical Wave Functions
Author: Moreira
Wendel Lopes; Ranha Neves
Antonio Alvaro; Garbos
Martin K.; Euser
Tijmen G.; Cesar
Carlos Lenz
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
Fiber Taper
Metal Tips
Editor: Optical Soc Amer
Citation: Optics Express. Optical Soc Amer, v. 24, p. 2370 - 2382, 2016.
Rights: fechado
Identifier DOI: 10.1364/OE.24.002370
Date Issue: 2016
Appears in Collections:Unicamp - Artigos e Outros Documentos

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