Implementation of numerical methods for the electromagnetic analysis of periodic media: Application in optical wavelengths and computational optimization Implementación de métodos numéricos para el análisis electromagnético de medios periódicos: aplicación en longitudes de onda ópticas y optimización computacional

This paper summarizes the contributions of a PhD focused on developing a set of numerical methods for the analysis of periodic diffractive optical devices such as holographic diffractive devices, thin film filters or diffraction gratings. For the rigorous and comprehensive analysis of these devices in optical wavelengths the finite difference time domain (DFDT) method was considered being compared to classical theories. Application of DFDT in optical wavelengths implies a considerable computational cost. Therefore, this method was accelerated for the most common computing platforms: CPU (Central Processing Unit) and GPU (Graphic Processing Unit).