Numerical approaches for the analysis of optical devices

The research activity presented is focused on the study of numerical methods for electromagnetism and the development of simulation codes for integrated and fiber optics devices. The theoretical approach is mainly based on the Finite Element Method (FEM). The developed codes permit both modal and propagative generalpurpose analysis, suitable for the study of structures with arbitrary geometry, distribution or refractive index variation and media features. For modal analysis, mono- and bi-dimensional codes have been developed which are suitable for media that can also be anisotropic and nonlinear, both with and without losses. Both scalar and full-vectorial formulations have been developed. Propagative analysis has been performed with the development of Beam Propagation Method (BPM) semi- and full-vectorial bi-dimensional cross-section codes. Moreover, formulations of propagators for Finite-Element Frequency-Domain (FEFD) and Finite-Element Time-Domain (FETD) analysis have also been implemented.