Stochastic Geometry for Electromagnetic Scattering Modeling - Archive ouverte HAL
Communication Dans Un Congrès Année : 2015

Stochastic Geometry for Electromagnetic Scattering Modeling

Résumé

The relationship between statistical distributions of geometrical parameters and scattering properties of particles has been underlined, particularly for optically soft particles. As the calculation of these distributions may be difficult, some simple rules for estimating them are presented in this paper. The method has been validated by the calculation of the scattering properties of a capsule shaped particle. - Electromagnetic scattering by particles consisting in a homogeneous material has been studied a lot by means of Maxwell equations that are numerically solved. Solutions depend on the morphology of the particles; the morphology of the particle is revealed at the boundary conditions. In the case of a homogeneous material a relationship between the scattering properties, the optical indices of the material and the surface characteristics can be expected. The need of fast calculations is important for industrial applications, even if the accuracy is lower. Fitting the accuracy of the calculation with the accuracy of the measurement is sufficient. More- over the use of relevant descriptors for the particle geometry can simplify the correspondence between optical and geometrical properties. In the past some optical approximations have been developed for the calculations for soft materials, e.g. Rayleigh-Debye-Gans approximation for small particles, Van de Hulst approximation for large particles. In these cases phase function and scattering cross section explicitly contain geometrical parameters like the distance between two points inside the particle, the chord length, etc.. On the other hand Fraunhoffer diffraction for large and optically hard particles is often related to the projected area of the particle. As a consequence there may exist a relationship between the optical properties and the statistical distribution of such geometrical parameters. In this sense the chord length distribution (CLD) seems to be a good candidate to optically describe a particle. This paper: - reminds how the optical properties are related to these distributions, - presents the way to estimate the distributions, - presents some examples of distributions (for spheres, ellipsoids, cylinders, facetted crystals), - reminds some mathematical properties of these distributions, - presents some rules to reconstruct rapidly the CLD for convex particles, - compares the exact and approximated calculations of the scattering cross section.
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Dates et versions

hal-02282866 , version 1 (07-09-2021)

Identifiants

  • HAL Id : hal-02282866 , version 1

Citer

Frédéric Gruy. Stochastic Geometry for Electromagnetic Scattering Modeling. 36th Progress In Electromagnetics Research Symposium (PIERS2015), Faculty of Electrical Engineering - Czech Technical University in Prague, Jul 2015, Prague, Czech Republic. pp.1264-1267. ⟨hal-02282866⟩

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