In the present work, we provide insights into the realm of computational electromagnetics, with a particular focus on time-domain electromagnetism. Numerical modeling plays a crucial role in revealing the behavior of light and matter interactions at the nanoscale, exploiting computational schemes, such as Finite-Differences Time-Domain and, as in our case, Discontinuous Galerkin methods. Since the choice of the basis elements is fundamental to enhance particularly interesting features, in the following we will consider nodal basis, thus leading to the Nodal discontinuous Galerkin. Furthermore, we will introduce Reduced Order Modelling (ROM) strategies, as a consequence of the pressing need for more efficient and accurate models capable of handling parameterized electromagnetic problems.