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Ince-Gaussian beams in the generalized Lorenz-Mie theory through finite series Laguerre-Gaussian beam shape coefficients

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Author(s):
Votto, Luiz Felipe ; Chafiq, Abdelghani ; Gouesbet, Gerard ; Ambrosio, Leonardo Andre ; Belafhal, Abdelmajid
Total Authors: 5
Document type: Journal article
Source: JOURNAL OF QUANTITATIVE SPECTROSCOPY & RADIATIVE TRANSFER; v. 302, p. 10-pg., 2023-03-16.
Abstract

The Ince-Gaussian beams (IGBs) are brought under the formalism of the generalized Lorenz-Mie theory (GLMT) through their expansions in terms of Laguerre-Gaussian beams (LGBs). The IG beam shape coeffi-cients (BSCs) are here derived based on the expressions of LG BSCs given by the finite series method. We then analyze how such relationships between LG and IG modes are translated to the domain of BSCs. This avoids complications that arise when computing said BSCs through other methods such as quadratures. Further ahead, the IG electric fields are reconstructed through the finite series BSCs and are then com-pared to their respective paraxial expressions. Through these results, we are able to make an in-depth analysis of the implications of the finite series method when translating more complex paraxial modes into the framework of the GLMT.(c) 2023 Elsevier Ltd. All rights reserved. (AU)

FAPESP's process: 20/05280-5 - Frozen wave-type structured beams: theoretical and experimental aspects in 2D and 3D imaging, optical tweezers and in photophoretic traps for application in optical trapping displays
Grantee:Leonardo Andre Ambrosio
Support Opportunities: Regular Research Grants
FAPESP's process: 21/06121-0 - Electromagnetic wave propagation through complex structures
Grantee:Ben-Hur Viana Borges
Support Opportunities: Regular Research Grants