Modélisation numérique de l’interaction onde-matière dans des matériaux nanostructurés à base de terres rares ou de nanoparticules métalliques pour la photonique ou la plasmonique

Abstract : This thesis is based on the modeling of wave-matter interaction in nanostructured materials by the finite-difference time-domain (FDTD) associated with auxiliary differential equations (ADE). The developed numerical method was applied to two areas: (i) the study of waveguides co-doped with silicon nanograins and rare earth ions (photonics) and (ii) the study of optical properties of gold nanoparticles (plamonics). Waveguides co-doped with silicon nanograins and rare earth ions, which can be either erbium or neodymium ions were investigated numerically by means of a new algorithm based on the ADE-FDTD method. This allows us to characterize, for two rare earth, the propagation of the pump and the signal inside the waveguide as well as the achievable gross gain can be achieved. It has been shown that the reachable potential gross gain of a waveguide doped with neodymium ions is greater by one order of magnitude to the one of a waveguide doped with erbium ions. Individual structured gold nanoparticles have been studied numerically and the results were compared with measurements made by energy loss spectroscopy (EELS) mapping. The resonance energies found by the two approaches for different types of particles were found to be in very good agreement. Moreover, the dispersion relation of modes of nanowire found by EELS and ADE-FDTD has been confirmed by an analytical model. Finally array of gold nanoparticles have been modeled in order to obtain a Fano resonance.
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Alexandre Fafin. Modélisation numérique de l’interaction onde-matière dans des matériaux nanostructurés à base de terres rares ou de nanoparticules métalliques pour la photonique ou la plasmonique. Optique [physics.optics]. Université de Caen, 2014. Français. ⟨tel-01097835⟩

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