Mixing rule for calculating the effective refractive index beyond the limit of small particles

Dominic T. Meiers; Georg von Freymann

doi:10.1364/oe.494653

journal article Sep 12, 2023

Mixing rule for calculating the effective refractive index beyond the limit of small particles

Dominic T. Meiers

Georg von Freymann

Optics Express Vol. 31 No. 20 pp. 32067 · Optica Publishing Group

View at Publisher Save 10.1364/oe.494653

Abstract

Considering light transport in disordered media, the medium is often treated as an effective medium requiring accurate evaluation of an effective refractive index. Because of its simplicity, the Maxwell-Garnett (MG) mixing rule is widely used, although its restriction to particles much smaller than the wavelength is rarely satisfied. Using 3D finite-difference time-domain simulations, we show that the MG theory indeed fails for large particles. Systematic investigation of size effects reveals that the effective refractive index can be instead approximated by a quadratic polynomial whose coefficients are given by an empirical formula. Hence, a simple mixing rule is derived which clearly outperforms established mixing rules for composite media containing large particles, a common condition in natural disordered media.

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Details

Published: Sep 12, 2023
Vol/Issue: 31(20)
Pages: 32067
License: View

Authors

Fraunhofer Institute for Industrial Mathematics ITWM

Funding

Deutsche Forschungsgemeinschaft Award: 255652081

Cite This Article

Dominic T. Meiers, Georg von Freymann (2023). Mixing rule for calculating the effective refractive index beyond the limit of small particles. Optics Express, 31(20), 32067. https://doi.org/10.1364/oe.494653

Mixing rule for calculating the effective refractive index beyond the limit of small particles

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