We consider the problem of domain approximation in finite element methods for Maxwell
equations on general curved domains, ie, when affine or polynomial meshes fail to exactly …

Multilayered diffraction gratings are an essential component in many optical devices due to
their ability to engineer light. We propose a first-order optimization strategy to maximize …

We lay down the preliminary work to apply the Functional Analytic Approach to quasi-
periodic boundary value problems for the Helmholtz equation. This consists in introducing a …

This work presents the implementation, numerical examples, and experimental convergence
study of first-and second-order optimization methods applied to one-dimensional periodic …

This thesis explores the application of Plane Wave Discontinuous Galerkin (PWDG)
methods for the numerical simulation of electromagnetic scattering by periodic structures …

In this paper we study the variational method and integral equation methods for a conical
diffraction problem for imperfectly conducting gratings modeled by the impedance boundary …

We present a fast spectral Galerkin scheme for the discretization of boundary integral
equations arising from two-dimensional Helmholtz transmission problems in multi-layered …