On the validity of integral localized approximation for on-axis zeroth-order Mathieu beams

Autor(es)

Chafiq, A. ^[1] ; Ambrosio, L. A. ^[2] ; Gouesbet, G. ^{[3, 4]} ; Belafhal, A. ^[1]

Afiliação do(s) autor(es)

^[1] Chouaib Doukkali Univ, Fac Sci, Dept Phys, Lab Nucl Atom & Mol Phys, PB 20, El Jadida 24000 - Morocco

^[2] Univ Sao Paulo, Sao Carlos Sch Engn, Dept Elect & Comp Engn, 400 Trabalhador Sao Carlense Ave, BR-13566590 Sao Carlos, SP - Brazil

^[3] Univ Rouen, CNRS, UMR CORIA 6614, Site Madrillet, Ave Univ, BP12, F-76801 St Etienne Du Rouvray - France

^[4] INSA Rouen, Site Madrillet, Ave Univ, BP12, F-76801 St Etienne Du Rouvray - France

• Tipo de documento: Artigo Científico
• Fonte: JOURNAL OF QUANTITATIVE SPECTROSCOPY & RADIATIVE TRANSFER; v. 204, p. 27-34, JAN 2018.
• Citações Web of Science: 12

Resumo

In a recent paper on radiation pressure forces exerted on a homogenous spherical particle by zeroth-order Mathieu beams (zMBs), the integral localized approximation(ILA) was used to calculate the beam shape coefficients (BSCs) encoding the shape of the beams. Unfortunately, this method is valid only for beams with a propagating factor exp (+/- ikz). In the case of non-diffracting beams the propagation factor is exp (+/- ikcos alpha z) which involves an extra-cosine term, with a being the axicon angle. Due to this term it has been demonstrated that localized approximations, including ILA, provide a satisfactory description of the intended beam only if the axicon angle is small enough. Zeroth-order Mathieu beams pertain to this type of beams. The present paper is therefore devoted to a comparison between BSCs calculated with an exact procedure and those calculated using ILA, in order to determine a range of validity of the approximate procedure. As a side result, we also establish exact closed-form expressions to the evaluation of BSCs of zMBs. (C) 2017 Elsevier Ltd. All rights reserved. (AU)

• Processo FAPESP: 16/11174-8 - Descrições eficientes de superposições discretas de feixes de Bessel escalares (Frozen Waves) na teoria generalizada de Lorenz-Mie para aplicações em aprisionamento óptico
• Beneficiário: Leonardo Andre Ambrosio
• Modalidade de apoio: Bolsas no Exterior - Pesquisa