Dresden 2020 – scientific programme
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O: Fachverband Oberflächenphysik
O 33: Poster Session - Plasmonics and Nanooptics: Applications and other Aspects
O 33.4: Poster
Monday, March 16, 2020, 18:15–20:00, P1C
Surface roughness in finite element meshes — •Fabian Loth1,2, Thomas Kiel1, Kurt Busch1,2, and Philip Kristensen1 — 1Humboldt-Universität zu Berlin, Institut für Physik, Newtonstr. 15, 12489 Berlin — 2Max-Born-Institut, Max-Born-Str. 2A, 12489 Berlin
Surface roughness at the nanoscale is of great importance in nanooptics since it can have a significant effect on the optical properties of photonic and plasmonic nanostructures. We present a practical approach for constructing meshes of general rough surfaces with given autocorrelation functions based on the unstructured meshes of the nominal smooth surfaces. The approach builds on a well-known method to construct correlated random numbers from white noise using a decomposition of the autocorrelation matrix [1]. The resulting mesh can be used in numerical methods, such as the discontinuous Galerkin time domain method [2], to compute the electromagnetic fields and derived physical observables such as scattering and absorption cross sections. Apart from nanooptics, the approach can be used in a broad range of numerical methods in various fields of science and engineering.
[1] H. Kaiser, K. Dickman, Psychometrika 27(2), 179–182 (1962)
[2] K. Busch et al., Laser & Photonics Rev. 5, 773 (2011)