Journal
JOURNAL OF QUANTITATIVE SPECTROSCOPY & RADIATIVE TRANSFER
Volume 261, Issue -, Pages -Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.jqsrt.2020.107488
Keywords
Generalized Lorenz-Mie theory; Laguerre-Gauss beams; T-matrix; Computational physics
Categories
Funding
- National Council for Scientific and Technological Development (CNPq) [426990/2018-8, 307898/2018-0]
- Coordenacao de Aperfeicoamento de Pessoal de Nivel Superior - Brasil (CAPES) [001]
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This paper presents a thorough study of the mathematical and computational nuances of the Finite Series (FS) method for Lens-Focused Laguerre-Gaussian beams, comparing it with other known methods and concluding that a properly implemented FS algorithm is generally the most preferable option.
In continuation to a series of works on the elaboration of Finite Series (FS) methods for helical beams under the Generalized Lorenz-Mie Theory's formalism, this paper consists of a thorough study of the mathematical and computational nuances which arise from implementing the recently deduced FS method for Lens-Focused Laguerre-Gaussian beams. This family of beams, as in most brought under the FS procedure, has its features which result in unique implications to the algorithm's design, implementation and analysis. Then, results are compared in terms of accuracy and time-performance with the ones obtained from two other known methods - quadratures and the Integral Localized Approximation. It is then concluded that a properly implemented FS algorithm should generally be the most preferable of the three since it converges to exact solutions within acceptable time costs. (c) 2020PublishedbyElsevierLtd.
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