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Numerical Study of Near-Infrared Light Propagation in Aqueous Alumina Suspensions Using the Steady-State Radiative Transfer Equation and Dependent Scattering Theory

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Title: Numerical Study of Near-Infrared Light Propagation in Aqueous Alumina Suspensions Using the Steady-State Radiative Transfer Equation and Dependent Scattering Theory
Authors: Fujii, Hiroyuki Browse this author →KAKEN DB
Terabayashi, Iori Browse this author
Aoki, Toshiaki Browse this author
Inoue, Yuki Browse this author
Na, Hyeonwoo Browse this author
Kobayashi, Kazumichi Browse this author →KAKEN DB
Watanabe, Masao Browse this author →KAKEN DB
Keywords: near-infrared imaging and spectroscopy
light propagation model
liquid phantom
radiative transfer equation
photon diffusion equation
Issue Date: 24-Jan-2022
Publisher: MDPI
Journal Title: Applied Sciences
Volume: 12
Issue: 3
Start Page: 1190
Publisher DOI: 10.3390/app12031190
Abstract: Understanding light propagation in liquid phantoms, such as colloidal suspensions, involves fundamental research of near-infrared optical imaging and spectroscopy for biological tissues. Our objective is to numerically investigate light propagation in the alumina colloidal suspensions with the mean alumina particle diameter of 55 nm at the volume fraction range 1–20%. We calculated the light scattering properties using the dependent scattering theory (DST) on a length scale comparable to the optical wavelength. We calculated the steady-state radiative transfer and photon diffusion equations (RTE and PDE) using the DST results based on the finite difference method in a length scale of the mean free path. The DST calculations showed that the scattering and reduced scattering coefficients become more prominent at a higher volume fraction. The anisotropy factor is almost zero at all the volume fractions, meaning the scattering is isotropic. The comparative study of the RTE with the PDE showed that the diffusion approximation holds at the internal region with all the volume fractions and the boundary region with the volume fraction higher than 1%. Our findings suggest the usefulness of the PDE as a light propagation model for the alumina suspensions rather than the RTE, which provides accurate but complicated computation.
Rights: © 2022 by the authors; licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/).
https://creativecommons.org/licenses/by/4.0/
Type: article
URI: http://hdl.handle.net/2115/83932
Appears in Collections:工学院・工学研究院 (Graduate School of Engineering / Faculty of Engineering) > 雑誌発表論文等 (Peer-reviewed Journal Articles, etc)

Submitter: 藤井 宏之

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