Evaluation of beam shape coefficients in T-matrix methods using a finite series technique: on blow-ups using hypergeometric functions and generalized Bessel polynomials

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Author(s):	Gouesbet, Gerard ; Votto, Luiz f. m. ; Ambrosio, Leonardo a. Total Authors: 3
Document type:	Journal article
Source:	JOURNAL OF THE OPTICAL SOCIETY OF AMERICA B-OPTICAL PHYSICS; v. 40, n. 12, p. 8-pg., 2023-12-01.
Abstract
In T-matrix methods (generalized Lorenz-Mie theories or extended boundary condition method), beam shape coefficients encoding the shape of the illuminating structured beam have to be evaluated. This may be carried out by using the finite series technique, which, however, generates blow-ups when the partial wave order of the beam shape coefficients increases. Using hypergeometric functions and generalized Bessel polynomials, we demonstrate in the case of on-axis Gaussian beams that these blow-ups are genuine phenomena, not due to a lack of numerical precision, and we establish criteria to evaluate the critical partial wave order that implies blow-ups. (c) 2023 Optica Publishing Group (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