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DY: Fachverband Dynamik und Statistische Physik

DY 46: Poster: Machine Learning and Data Analytics

DY 46.10: Poster

Donnerstag, 30. März 2023, 13:00–16:00, P1

Light propagation in media with electric and magnetic disorder: 3D Anderson localization — •Walter Schirmacher^1,2, Thomas Franosch³, Marco Leonetti^1,4, and Giancarlo Ruocco^1,5 — 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.