Volume 8, Issue 5
Statistics for Surface Modes of Nanoparticles with Shape Fluctuations

Felix Rüting & Hannes Uecker

Commun. Comput. Phys., 8 (2010), pp. 1224-1241.

Published online: 2010-08

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  • Abstract

We develop a numerical method for approximating the surface modes of sphere-like nanoparticles in the quasi-static limit, based on an expansion of (the angular part of) the potentials into spherical harmonics. Comparisons of the results obtained in this manner with exact solutions and with a perturbation ansatz prove that the scheme is accurate if the shape deviations from a sphere are not too large. The method allows fast calculations for large numbers of particles, and thus to obtain statistics for nanoparticles with random shape fluctuations. As an application we present some statistics for the distribution of resonances, polariziabilities, and dipole axes for particles with random perturbations.

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@Article{CiCP-8-1224, author = {}, title = {Statistics for Surface Modes of Nanoparticles with Shape Fluctuations}, journal = {Communications in Computational Physics}, year = {2010}, volume = {8}, number = {5}, pages = {1224--1241}, abstract = {

We develop a numerical method for approximating the surface modes of sphere-like nanoparticles in the quasi-static limit, based on an expansion of (the angular part of) the potentials into spherical harmonics. Comparisons of the results obtained in this manner with exact solutions and with a perturbation ansatz prove that the scheme is accurate if the shape deviations from a sphere are not too large. The method allows fast calculations for large numbers of particles, and thus to obtain statistics for nanoparticles with random shape fluctuations. As an application we present some statistics for the distribution of resonances, polariziabilities, and dipole axes for particles with random perturbations.

}, issn = {1991-7120}, doi = {https://doi.org/10.4208/cicp.230210.260310a}, url = {http://global-sci.org/intro/article_detail/cicp/7614.html} }
TY - JOUR T1 - Statistics for Surface Modes of Nanoparticles with Shape Fluctuations JO - Communications in Computational Physics VL - 5 SP - 1224 EP - 1241 PY - 2010 DA - 2010/08 SN - 8 DO - http://doi.org/10.4208/cicp.230210.260310a UR - https://global-sci.org/intro/article_detail/cicp/7614.html KW - AB -

We develop a numerical method for approximating the surface modes of sphere-like nanoparticles in the quasi-static limit, based on an expansion of (the angular part of) the potentials into spherical harmonics. Comparisons of the results obtained in this manner with exact solutions and with a perturbation ansatz prove that the scheme is accurate if the shape deviations from a sphere are not too large. The method allows fast calculations for large numbers of particles, and thus to obtain statistics for nanoparticles with random shape fluctuations. As an application we present some statistics for the distribution of resonances, polariziabilities, and dipole axes for particles with random perturbations.

Felix Rüting & Hannes Uecker. (2020). Statistics for Surface Modes of Nanoparticles with Shape Fluctuations. Communications in Computational Physics. 8 (5). 1224-1241. doi:10.4208/cicp.230210.260310a
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