The refractive index of silver nanowire networks: a heuristic approach to the foundations of the optical constants, from experiment to theory

Abstract This study employs Mie’s scattering theory and van de Hulst’s mixing model to predict the refractive indices (n, k) of silver nanowire (AgNW) networks in the visible and near-infrared wavelengths, allowing the comparison to the experimentally determined k spectra. Transmittance spectra calc...

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Main Authors: Amaury Baret, Julia Baumgarten, François Balty, Frédéric Rabecki, Jérémy Brisbois, Buyun Zheng, Daniel Bellet, Ngoc Duy Nguyen
Format: Article
Language:English
Published: Springer 2025-08-01
Series:Discover Nano
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Online Access:https://doi.org/10.1186/s11671-025-04312-9
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author Amaury Baret
Julia Baumgarten
François Balty
Frédéric Rabecki
Jérémy Brisbois
Buyun Zheng
Daniel Bellet
Ngoc Duy Nguyen
author_facet Amaury Baret
Julia Baumgarten
François Balty
Frédéric Rabecki
Jérémy Brisbois
Buyun Zheng
Daniel Bellet
Ngoc Duy Nguyen
author_sort Amaury Baret
collection DOAJ
description Abstract This study employs Mie’s scattering theory and van de Hulst’s mixing model to predict the refractive indices (n, k) of silver nanowire (AgNW) networks in the visible and near-infrared wavelengths, allowing the comparison to the experimentally determined k spectra. Transmittance spectra calculated via the numerical resolution of Fresnel’s equations are compared to experimental data, showing excellent agreement, particularly for nanowires with larger diameters and at shorter wavelengths. These findings, both theoretical and empirical, pave the way for accurate optical simulations of metallic nanowire networks, supporting their integration into complex multilayer systems and devices such as displays or smart windows. Notably, our work proposes the first demonstration of the dominance of the metallic character of AgNW networks over their dielectric behavior in terms of optical response.
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institution Kabale University
issn 2731-9229
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series Discover Nano
spelling doaj-art-153e196e7ef6440ebabe90e714f10d6b2025-08-20T03:46:16ZengSpringerDiscover Nano2731-92292025-08-0120111210.1186/s11671-025-04312-9The refractive index of silver nanowire networks: a heuristic approach to the foundations of the optical constants, from experiment to theoryAmaury Baret0Julia Baumgarten1François Balty2Frédéric Rabecki3Jérémy Brisbois4Buyun Zheng5Daniel Bellet6Ngoc Duy Nguyen7SPIN, Department of Physics, University of LiègeSPIN, Department of Physics, University of LiègeSPIN, Department of Physics, University of LiègeSTAR, Centre Spatial de LiègeSTAR, Centre Spatial de LiègeUniv. Grenoble Alpes, CNRS, Grenoble INP, LMGPUniv. Grenoble Alpes, CNRS, Grenoble INP, LMGPSPIN, Department of Physics, University of LiègeAbstract This study employs Mie’s scattering theory and van de Hulst’s mixing model to predict the refractive indices (n, k) of silver nanowire (AgNW) networks in the visible and near-infrared wavelengths, allowing the comparison to the experimentally determined k spectra. Transmittance spectra calculated via the numerical resolution of Fresnel’s equations are compared to experimental data, showing excellent agreement, particularly for nanowires with larger diameters and at shorter wavelengths. These findings, both theoretical and empirical, pave the way for accurate optical simulations of metallic nanowire networks, supporting their integration into complex multilayer systems and devices such as displays or smart windows. Notably, our work proposes the first demonstration of the dominance of the metallic character of AgNW networks over their dielectric behavior in terms of optical response.https://doi.org/10.1186/s11671-025-04312-9Refractive indicesMie theorySilver nanowire networks
spellingShingle Amaury Baret
Julia Baumgarten
François Balty
Frédéric Rabecki
Jérémy Brisbois
Buyun Zheng
Daniel Bellet
Ngoc Duy Nguyen
The refractive index of silver nanowire networks: a heuristic approach to the foundations of the optical constants, from experiment to theory
Discover Nano
Refractive indices
Mie theory
Silver nanowire networks
title The refractive index of silver nanowire networks: a heuristic approach to the foundations of the optical constants, from experiment to theory
title_full The refractive index of silver nanowire networks: a heuristic approach to the foundations of the optical constants, from experiment to theory
title_fullStr The refractive index of silver nanowire networks: a heuristic approach to the foundations of the optical constants, from experiment to theory
title_full_unstemmed The refractive index of silver nanowire networks: a heuristic approach to the foundations of the optical constants, from experiment to theory
title_short The refractive index of silver nanowire networks: a heuristic approach to the foundations of the optical constants, from experiment to theory
title_sort refractive index of silver nanowire networks a heuristic approach to the foundations of the optical constants from experiment to theory
topic Refractive indices
Mie theory
Silver nanowire networks
url https://doi.org/10.1186/s11671-025-04312-9
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