Resonance in metallic nanoparticles: a rigorous formulation of the dipolar approximation

Dominique Barchiesi 1, 2 Thomas Grosges 2, 1
2 Gamma3 - Automatic mesh generation and advanced methods
Inria Paris-Rocquencourt, UTT - Université de Technologie de Troyes
Abstract : In classical electromagnetism, the interaction of light with matter is introduced through the polarizability of a dipole subject to the local field of nearby atoms, leading to the Clausius-Mossotti rule. The dipolar model is also used to introduce plasmonics and fluorescence to undergraduates in electromagnetism courses: the scattering, absorption and extinction of light by spherical particles are examples of analytical solutions in spherical coordinates. The possible resonance of the interaction between light and metallic nanoparticles is commonly described in terms of the infinite limit of the dipole when its relative permittivity tends towards−2. However, this divergence is physically disruptive and therefore a mathematically sustainable approach is required to describe the resonance that occurs in the interaction between light and a metallic spherical particle. The proposed method removes infinity, enabling a rigorous discussion of the resonance.
Type de document :
Article dans une revue
European Journal of Physics, European Physical Society, 2014, 35 (3), pp.art. no. 035012. 〈10.1088/0143-0807/35/3/035012〉
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https://hal.inria.fr/hal-00967111
Contributeur : Thomas Grosges <>
Soumis le : vendredi 28 mars 2014 - 08:24:05
Dernière modification le : vendredi 25 mai 2018 - 12:02:06

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Dominique Barchiesi, Thomas Grosges. Resonance in metallic nanoparticles: a rigorous formulation of the dipolar approximation. European Journal of Physics, European Physical Society, 2014, 35 (3), pp.art. no. 035012. 〈10.1088/0143-0807/35/3/035012〉. 〈hal-00967111〉

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