SKM 2023 – scientific programme
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DY: Fachverband Dynamik und Statistische Physik
DY 46: Poster: Machine Learning and Data Analytics
DY 46.10: Poster
Thursday, March 30, 2023, 13:00–16:00, P1
Light propagation in media with electric and magnetic disorder: 3D Anderson localization — •Walter Schirmacher1,2, Thomas Franosch3, Marco Leonetti1,4, and Giancarlo Ruocco1,5 — 1Istituto Italiano di Tecnologia, Roma, Italy — 2Universität Mainz, Mainz, Germany — 3Universität Innsbruck, Innsbruck, Austria — 4SLML, Consiglio Nationale delle Richerche, Roma, Italy — 5Universita "La Sapienza", Roma Italy
We consider Maxwell's equations in a 3-dimensional material, in which both, the electric permittivity, as well as the magnetic permeability, fluctuate in space. Differently from all previous treatments, we transform the fields in such a way that the linear operator in the equations is manifestly Hermitian, in order to deal with a proper eigenvalue problem. We use an appropriate version of the Coherent-Potential approximation (CPA) to calculate the density of states and scattering- mean-free path. We find that in the presence of both electric and magnetic disorder the spectral range of Anderson localization appears to be much larger than in the case of electric (or magnetic) disorder only.