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Résolution par la méthode de Monte Carlo de formulations intégrales du problème de diffusion électromagnétique par une suspension de particules à géométries complexes

Abstract : The resolution of the problem of an electromagnetic wave scattered by non-spherical particles suspensions is a significant difficulty encountered in many fields of research and engineering. This implies to use highly specialized experiments or to solve Maxwell’s equations, which is a real challenge when weconsider particles with complex shapes and with statistical distributions of size, orientation and shape.The aim of this thesis is to investigate the use of the Monte Carlo method in order to solve the integral formulations of electromagnetic scattering deduced from Maxwell’s equations. In particular, we solvethose of Schiff’s approximation, Born’s approximation as well as the Born series expansion. Our approachis based on integral reformulation in order to design algorithms including the most recent advances of the method. This original approach, using computer graphics algorithms in order to manage arbitraryshape, permits treating any distributions of parameters as well as evaluating sensitivities to parameters ofinterest, without additionnal CPU time. The developed tools already meet the needs for the optimisation of photobioreactors which bring into play soft particles (micro-algae). From this work, some researchideas have emerged to explore the well-identified issue of large particles and large refractive indices from zero-variance principle.
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  • HAL Id : tel-01715325, version 1

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Julien Charon. Résolution par la méthode de Monte Carlo de formulations intégrales du problème de diffusion électromagnétique par une suspension de particules à géométries complexes. Autre. Université de Perpignan, 2017. Français. ⟨NNT : 2017PERP0048⟩. ⟨tel-01715325⟩

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