Présidents de session
Towards an approach to quasi-normal modes in optical systems: from complex to spectral analysis
- Lmis Al Sheikh
Description
We discuss the first elements of an approach for studying qualitative and quantitative
aspects of Quasi-Normal Modes (QNMs) of a one-dimensional optical system. In a first
step we consider a permittivity depending on the frequency, without absorption, according
to the so-called Drude model. Linearizing the permittivity around the frequency, we get a
new wave equation with an effective potential. In a second step we overview the treatment
of QNMs of a 1-dimensional wave equation with a potential, and we discuss the resonant
expansion (in time) of a scattered field in terms of QNMs. Finally, we comment on a generalization
of this discussion for spaces with higher (odd) dimensions, in terms of results in spectral theory.
