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How much is enough? The convergence of finite sample scattering properties to those of infinite media

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Markkanen,  Johannes
Department Planets and Comets, Max Planck Institute for Solar System Research, Max Planck Society;

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Citation

Penttilä, A., Markkanen, J., Väisänen, T., Räbinä, J., Yurkin, M., & 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: 107524. doi:10.1016/j.jqsrt.2021.107524.


Cite as: http://hdl.handle.net/21.11116/0000-0008-030D-7
Abstract
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.