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Discrete Sources Method to Solve Nonlocal Scattering Problems in Plasmonic Applications

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Abstract

Current paper presents a comprehensive up-to-date review of one of the most recently developed numerical schemes based on the Discrete Sources Method. The aim of these developments is to implement and justify new efficient mathematical models allowing to accurately simulate response of small plasmonic nanoparticles with scale less than 10 nm to the different types of incident fields. Spatial dispersion effects of the material that are non-negligible at the given scales are incorporated into the numerical technique via Generalized Nonlocal Optical Response approach. Electron energy loss and plane wave scattering problems are considered, with the latter additionally featuring account for the presense of the substrate in the medium. Validity of the obtained results is ensured via a posteriori residual estimation, via comparison of computed scattering properties to the other available simulation techniques, and via comparison to the experimental electron energy loss measurements available in reference literature.

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Funding

This work was financially supported by the Russian Foundation of Basic Research (grant no. 20-01-00558-A).

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Authors and Affiliations

  1. Faculty of Physics, Lomonosov Moscow State University, 119991, Moscow, Russia

    I. V. Lopushenko & A. G. Sveshnikov

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  1. I. V. Lopushenko
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  2. A. G. Sveshnikov
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Correspondence to I. V. Lopushenko or A. G. Sveshnikov.

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Lopushenko, I.V., Sveshnikov, A.G. Discrete Sources Method to Solve Nonlocal Scattering Problems in Plasmonic Applications. Lobachevskii J Math 41, 1337–1353 (2020). https://doi.org/10.1134/S1995080220070240

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  • DOI: https://doi.org/10.1134/S1995080220070240

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