We present the main features of first principles numerical methods to describe plasmonic excitations in bulk and nanosized materials, and we apply these methods to a number of bulk and lower-dimensional nanosystems. Our main focus lies on graphene, which is an interesting numerical and experimental paradigm to study plasmonic excitations in a nanosystem with anisotropic and lossy dielectric functions. Beyond graphene we also discuss plasmonic excitations in similar two-dimensional nanosystems. In order to analyse more complex collective excitations of the electron gas in nanosystems, we take advantage of a fundamental relation between density fluctuations and the electron energy loss spectra (EELS), and suggest a general method to study noise in nanosystems.
Robert Warmbier, Timothy Mehay, and Alexander Quandt, "Computational plasmonics with applications to bulk and nanosized systems," Proc. SPIE 10721, Active Photonic Platforms X, 107211V (Presented at SPIE Nanoscience + Engineering: August 23, 2018; Published: 19 September 2018); https://doi.org/10.1117/12.2319498.
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