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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

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

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Author(s):
Chafiq, A. [1] ; Ambrosio, L. A. [2] ; Gouesbet, G. [3, 4] ; Belafhal, A. [1]
Total Authors: 4
Affiliation:
[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
Total Affiliations: 4
Document type: Journal article
Source: JOURNAL OF QUANTITATIVE SPECTROSCOPY & RADIATIVE TRANSFER; v. 204, p. 27-34, JAN 2018.
Web of Science Citations: 12
Abstract

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)

FAPESP's process: 16/11174-8 - Efficient descriptions of discrete superpositions of scalar Bessel beams (Frozen Waves) in generalized Lorenz-Mie theory for applications in optical trapping
Grantee:Leonardo Andre Ambrosio
Support Opportunities: Scholarships abroad - Research