Light-Matter Interactions

Within the following problems we will discuss different models to understand the interaction of light with matter. The acquired knowledge will help us to derive fundamental electrodynamic effects and deduce the electrodynamic properties of materials, for example their dispersion relation. The problems shall provide a connection to following courses on theoretical optics.

The Dispersion Relation of a Magnetized Plasma

A circular polarized plane wave acts on an electron.It is known that a free electron gas prone to a periodic electric field obeys oscillations. One might ask what happens if an additional external magnetic field is acting on the plasma. In this problem we will discover how the magnetic field changes the dispersion relation. This will later allow us to understand how the magnetic field in the universe is measured using the "Faraday Rotation".

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The "Permittivity" of Graphene

Calculation of a three dimensional permittivy of graphene.Graphene is a monolayer of carbon atoms and offers extremely interesting physics. Its unique properties may very well make it the silicon of the 21st century. For practical applications it is of great importance to model this material containing the main electromagnetic features. Find out in this problem how graphene can be represented as a thin layer with a certain permittivity and how this can be used for next-generation electromagnetic devices.

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