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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 the use of a localized approximation for helical beams. I. Formal aspects

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Author(s):
Gouesbet, Gerard [1, 2] ; Ambrosio, Leonardo Andre [3]
Total Authors: 2
Affiliation:
[1] Univ Rouen, Normandie Univ, CNRS, UMR 6614, CORIA, Campus Univ Madrillet, F-76800 St Etienne Du Rouvray - France
[2] INSA Rouen, Campus Univ Madrillet, F-76800 St Etienne Du Rouvray - France
[3] Univ Sao Paulo, Sao Carlos Sch Engn, Dept Elect & Comp Engn, 400 Trabalhador Sao Carlense Ave, BR-13566590 Sao Carlos, SP - Brazil
Total Affiliations: 3
Document type: Journal article
Source: JOURNAL OF QUANTITATIVE SPECTROSCOPY & RADIATIVE TRANSFER; v. 208, p. 12-18, MAR 2018.
Web of Science Citations: 9
Abstract

The description of an electromagnetic beam for use in light scattering theories may be carried out by using an expansion over vector spherical wave functions with expansion coefficients expressed in terms of Beam Shape Coefficients (BSCs). A celebrated method to evaluate these BSCs has been the use of localized approximations (with several existing variants). We recently established that the use of any existing localized approximation is of limited validity in the case of Bessel and Mathieu beams. In the present paper, we address a warning against the use of any existing localized approximation in the case of helical beams. More specifically, we demonstrate that a procedure used to validate any existing localized approximation fails in the case of helical beams. Numerical computations in a companion paper will confirm that existing localized approximations are of limited validity in the case of helical beams. (C) 2018 Elsevier Ltd. All rights reserved. (AU)

FAPESP's process: 17/10445-0 - Micro-structured non-diffracting light beams for optical micromanipulation
Grantee:Leonardo Andre Ambrosio
Support type: Regular Research Grants