Expansion of arbitrary electromagnetic fields in terms of vector spherical wave functions

Autor(es)

Moreira, Wendel Lopes ^[1] ; Ranha Neves, Antonio Alvaro ^[2] ; Garbos, Martin K. ^[3] ; Euser, Tijmen G. ^{[3, 4]} ; Cesar, Carlos Lenz ^[5]

Afiliação do(s) autor(es)

^[1] Petr Brasileiro SA, Vitoria, ES - Brazil

^[2] UFABC, Ctr Ciencias Nat & Humanas, BR-09210170 Santo Andre Sao Paulo - Brazil

^[3] Max Planck Inst Sci Light, D-91058 Erlangen - Germany

^[4] Univ Cambridge, Cavendish Lab, Cambridge CB3 OHE - England

^[5] Univ Estadual Campinas, Inst Fis Gleb Wataghin, BR-13083970 Sao Paulo - Brazil

• Tipo de documento: Artigo Científico
• Fonte: Optics Express; v. 24, n. 3, p. 2370-2382, FEB 8 2016.
• Citações Web of Science: 6

Resumo

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 (AU)

• Processo FAPESP: 05/51689-2 - Centro de Pesquisa em Óptica e Fotônica - UNICAMP (CEPOF-UNICAMP)
• Beneficiário: Hugo Luis Fragnito
• Modalidade de apoio: Auxílio à Pesquisa - Centros de Pesquisa, Inovação e Difusão - CEPIDs
• Processo FAPESP: 11/51959-0 - Biologia das doenças neoplásicas da medula óssea
• Beneficiário: Sara Teresinha Olalla Saad
• Modalidade de apoio: Auxílio à Pesquisa - Temático
• Processo FAPESP: 08/57906-3 - Instituto Nacional de Fotônica Aplicada à Biologia Celular - INFABIC
• Beneficiário: Hernandes Faustino de Carvalho
• Modalidade de apoio: Auxílio à Pesquisa - Temático