Advanced search
Start date
Betweenand


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

Full text
Author(s):
Ambrosio, Leonardo Andre ; Gouesbet, Gerard ; Wang, Jiajie
Total Authors: 3
Document type: Journal article
Source: JOURNAL OF QUANTITATIVE SPECTROSCOPY & RADIATIVE TRANSFER; v. 293, p. 5-pg., 2022-10-08.
Abstract

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)

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