High Order DGTD Solver for the Numerical Modeling of Nanoscale Light/Matter Interaction

Nanophotonics is the field of science and technology which aimed at establishing and using the peculiar properties of light and light/matter interactions in various nanostructures. The numerical modeling of such interactions requires to solve the system of time-domain Maxwell equations possibly coupled to appropriate models of physical dispersion in metals such as the Drude and Drude-Lorentz models. In this paper, we discuss about the development of a high order discontinuous Galerkin time-domain solver for nanophotonics applications in the linear regime. For the numerical treatment of dispersion models in metals, we have adopted an Auxiliary Differential Equation (ADE) technique leading to solve the time-domain Maxwell equations coupled to a system of ODEs. We present numerical results that demonstrate the accuracy of the proposed numerical methodology for nanstructured settings involving curvilinear geometrical features.