Blowing-ups of beam shape coefficients of Gaussian beams using finite series in generalized Lorenz-Mie theory

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Author(s):	Votto, Luiz Felipe ; Gouesbet, Gerard ; Ambrosio, Leonardo Andre Total Authors: 3
Document type:	Journal article
Source:	JOURNAL OF QUANTITATIVE SPECTROSCOPY & RADIATIVE TRANSFER; v. 311, p. 6-pg., 2023-09-30.
Abstract
Compact closed-form expressions of the beam shape coefficients (BSCs) of Gaussian beams are obtained in the generalized Lorenz-Mie theory through the finite series (FS) method. As a result, such expressions have made it possible to more deeply understand the behaviour of the BSCs and, therefore, the scattering of Gaussian beams beyond the paraxial approximation. The blowing up, in particular, of FS BSCs which has been observed for several paraxial beams is now mathematically justified as a phenomenon that is independent of numerical precision. Furthermore, numerical results demonstrate how such blow ups are related to the ratio between the beam waist radius and its wavelength. (AU)

FAPESP's process:	21/06121-0 - Electromagnetic wave propagation through complex structures
Grantee:	Ben-Hur Viana Borges
Support Opportunities:	Regular Research Grants


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