In the design of photonic crystal devices the computation of eigensolutions of Maxwell's equations is a central task. We develope and analyse numerical methods that take into account the unbounded exterior.
The computation of eigenmodes of Maxwell's equations is one of the central tasks in the design of photonic crystal devices. In applications it is often desirable to model semi-infinite and finite structures. Thus problems to be discussed are coupled interior-exterior problems. The aim of this project is to treat the unbounded outer domain with the new pole condition approach and to solve the interior problem with adaptive finite elements.For more information see the MATHEON D9 page