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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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Autor(es):
Gouesbet, Gerard ; Votto, Luiz f. m. ; Ambrosio, Leonardo a.
Número total de Autores: 3
Tipo de documento: Artigo Científico
Fonte: JOURNAL OF THE OPTICAL SOCIETY OF AMERICA B-OPTICAL PHYSICS; v. 40, n. 12, p. 8-pg., 2023-12-01.
Resumo

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)

Processo FAPESP: 21/06121-0 - Propagação de ondas eletromagnéticas em estruturas complexas
Beneficiário:Ben-Hur Viana Borges
Modalidade de apoio: Auxílio à Pesquisa - Regular
Processo FAPESP: 20/05280-5 - Feixes estruturados tipo frozen waves: aspectos teóricos e experimentais em imagens 2D e 3D, pinças ópticas e armadilhas fotoforéticas para displays de aprisionamento óptico
Beneficiário:Leonardo Andre Ambrosio
Modalidade de apoio: Auxílio à Pesquisa - Regular