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On analytical solutions to classes of definite integrals with products of Bessel functions of the first kind and their derivatives

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Autor(es):
Ambrosio, Leonardo Andre ; Gouesbet, Gerard ; Wang, Jiajie
Número total de Autores: 3
Tipo de documento: Artigo Científico
Fonte: JOURNAL OF QUANTITATIVE SPECTROSCOPY & RADIATIVE TRANSFER; v. 293, p. 5-pg., 2022-10-08.
Resumo

In certain physical problems of light scattering, classes of integrals appear which involve particular products of Bessel functions of the first kind with complex argument and integer orders n and n +/- 1 (-infinity <= n <= infinity), and also products of derivatives of such Bessel functions. Due to the lack of available analytical solutions in the literature, numerical calculations of these integrals have been recently carried out for the evaluation of photophoretic asymmetry factors (PAFs) in problems involving the illumination of lossy infinite cylinders, either in isolation or close to conducting corner spaces or planar boundaries, by plane waves or light-sheets. Here, we show that these integrals can actually be resolved analytically, therefore allowing for faster computation of physical quantities of interest in light scattering by small particles. (C) 2022 Published by Elsevier Ltd. (AU)

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
Processo FAPESP: 21/06121-0 - Propagação de ondas eletromagnéticas em estruturas complexas
Beneficiário:Ben-Hur Viana Borges
Modalidade de apoio: Auxílio à Pesquisa - Regular