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Abstract

This thesis addresses the question if and how energy is conserved in optical systems with Fano spectral line shape control. The focus is mainly set on the dynamics of two - and three level atoms. To investigate the time dependent energy distribution in these systems, a semiclassical version of the well known Poynting vector from Classical Electrodynamics has been derived. Furthermore, a transition from one irradiated atom to many atoms has been implemented to simplify the expression for the scattered electromagnetic eld, enabling us to perform energy calculations for laser pulses as well. Thus, Fano control can be realised in a three-level system via a probe - and control pulse. Doing so, it is possible to show that energy is indeed conserved in systems with Fano control. In fact, the energy in the spectral line is just being redistributed. Additionally, it has been observed that an overlap between probe - and control pulse leads to a manipulation of the scattering behaviour of the atom, without breaking energy conservation.