Applicability of the Arago-Biot mixing formula to the effective refractive index of particle suspensions

IF 2 3区物理与天体物理 Q2 OPTICS

Journal of Quantitative Spectroscopy & Radiative Transfer Pub Date : 2026-03-01 Epub Date: 2025-12-11 DOI:10.1016/j.jqsrt.2025.109791

Augusto García-Valenzuela, Nadia E. Álvarez-Chávez, Anays Acevedo-Barrera

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Abstract

We study the applicability of the Arago-Biot mixing formula to calculate the effective refractive index of particle suspensions using the anomalous diffraction approximation, when the size of the particles is comparable to the wavelength of radiation. Interest in this mixing formula stems from the fact that it does not require knowledge of the particles' size or shape. Thus, it can be useful for determining the refractive index of particles in suspension of size comparable to the wavelength of radiation, regardless of their shape or size distribution. We present an analysis and graphs in the refractive-index-contrast versus size-parameter 2D space of the error of the Arago-Biot mixing formula and the error of using this mixing formula to infer the refractive index of particles in suspension. We consider non-absorbing and absorbing particles. The results obtained demonstrate the viability of inferring the refractive index of particles in suspension with accuracy in the second decimal place by reducing the refracting index contrast with the matrix medium for particles comparable to the wavelength of light.

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Arago-Biot混合公式对颗粒悬浮液有效折射率的适用性

我们研究了Arago-Biot混合公式在计算粒子悬浮液的有效折射率时的适用性，当粒子的大小与辐射波长相当时，使用反常衍射近似。对这种混合公式的兴趣源于这样一个事实，即它不需要知道颗粒的大小或形状。因此，它可以用于确定悬浮粒子的折射率大小与辐射波长相当，而不管它们的形状或尺寸分布。本文在二维空间中对阿拉戈-拜奥混合公式的误差和用该混合公式推断悬浮液中粒子的折射率的误差进行了折射率对比与尺寸参数对比的分析和图表。我们考虑不吸收和吸收粒子。所得结果表明，通过降低与光波长相当的颗粒与基质介质的折射率对比，可以在小数点后第二位精确地推断悬浮颗粒的折射率。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Journal of Quantitative Spectroscopy & Radiative Transfer 物理-光谱学

CiteScore

5.30

自引率

21.70%

发文量

273

审稿时长

58 days

期刊介绍： Papers with the following subject areas are suitable for publication in the Journal of Quantitative Spectroscopy and Radiative Transfer: - Theoretical and experimental aspects of the spectra of atoms, molecules, ions, and plasmas. - Spectral lineshape studies including models and computational algorithms. - Atmospheric spectroscopy. - Theoretical and experimental aspects of light scattering. - Application of light scattering in particle characterization and remote sensing. - Application of light scattering in biological sciences and medicine. - Radiative transfer in absorbing, emitting, and scattering media. - Radiative transfer in stochastic media.