How much is enough? : The convergence of finite sample scattering properties to those of infinite media
Penttilä, A., Markkanen, J., Väisänen, T., Räbinä, J., Yurkin, M. A., & Muinonen, K. (2021). How much is enough? : The convergence of finite sample scattering properties to those of infinite media. Journal of Quantitative Spectroscopy and Radiative Transfer, 262, Article 107524. https://doi.org/10.1016/j.jqsrt.2021.107524
© 2021 The Authors. Published by Elsevier Ltd.
We study the scattering properties of a cloud of particles. The particles are spherical, close to the incident wavelength in size, have a high albedo, and are randomly packed to 20 % volume density. We show, using both numerically exact methods for solving the Maxwell equations and radiative-transfer-approximation methods, that the scattering properties of the cloud converge after about ten million particles in the system. After that, the backward-scattered properties of the system should estimate the properties of a macroscopic, practically infinite system.
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Additional information about fundingWe acknowledge the ERC Advanced Grant no. 320773 entitled Scattering and Absorption of Electromagnetic Waves in Particulate Media (SAEMPL). Computational resources were provided by CSC — IT Centre for Science Ltd, Finland. The development of ADDA is supported by the Russian Science Foundation (Grant no. 18-12-00052).
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