Blowing-ups of beam shape coefficients of Gaussian beams using finite series in generalized Lorenz-Mie theory

被引：6

作者：

Votto, Luiz Felipe ^{[1
]}

Gouesbet, Gerard ^{[2
,3
]}

Ambrosio, Leonardo Andre ^{[1
]}

机构：

[1] Univ Sao Paulo, Escola Engn Sao Carlos, 400 Ave Trabalhador Sao carlense, BR-13566590 Sao Carlos, SP, Brazil

[2] Univ Saint Etienne Rouvray, CNRS, CORIA, UMR 6614, Site Madrillet,Ave Univ,BP 12, F-76801 St Etienne Du Rouvray, France

[3] INSA Rouen, Site Madrillet,Ave Univ,BP12, F-76801 St Etienne Du Rouvray, France

来源：

JOURNAL OF QUANTITATIVE SPECTROSCOPY & RADIATIVE TRANSFER | 2023年 / 311卷

基金：

巴西圣保罗研究基金会; 瑞典研究理事会;

关键词：

Light scattering; Lasers; APPROXIMATION;

D O I：

10.1016/j.jqsrt.2023.108787

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

Compact closed-form expressions of the beam shape coefficients (BSCs) of Gaussian beams are obtained in the generalized Lorenz-Mie theory through the finite series (FS) method. As a result, such expressions have made it possible to more deeply understand the behaviour of the BSCs and, therefore, the scattering of Gaussian beams beyond the paraxial approximation. The blowing up, in particular, of FS BSCs which has been observed for several paraxial beams is now mathematically justified as a phenomenon that is independent of numerical precision. Furthermore, numerical results demonstrate how such blow ups are related to the ratio between the beam waist radius and its wavelength.

引用

页数：6

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