https://doi.org/10.1051/epjconf/202328704016
Efficient method for the numerical extraction of Bergman’s spectral density function
CNRS, CEMHTI UPR3079, University of Orléans, Orléans F-45071, France
* Corresponding author: cedric.blanchard@cnrs-orleans.fr
Published online: 18 October 2023
Effective properties of random particulate media are key to better understand their electromagnetic characteristics. For that purpose, many effective medium theories were developed. In this work, Bergman’s theory of homogenisation is explored. The core of this theory is its spectral density function (SDF), which contains the contribution of the mixture internal geometry on the effective properties. Here, we extract it with a standard but time-consuming homogenisation procedure, and a novel one, much faster. The two homogenisation methods plus the two extracted SDFs are then compared using a practical example showcasing excellent agreement between them.
© The Authors, published by EDP Sciences, 2023
This is an Open Access article distributed under the terms of the Creative Commons Attribution License 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
