Modeling of passive and active optical periodic structures

Abstract

This thesis deals with the development of new approaches for modelling of multilayers with active dipole layers and 1D lamellar gratings. The rigorous coupled wave algorithm (RCWA) is used for modelling of periodic gratings and models of active dipole layers are based upon $4 \times 4$ matrix formalism suitable for modelling of spin-polarized light emitting diodes (spin-LEDs) and vertical-cavity surface-emitting lasers (spin-VCSELs). To enable the combination of these two approaches a new formalism for modelling of incoherent propagation in periodic structures based on coherence/Mueller matrices is introduced and it is demonstrated on the structure of flexible diffraction components that include thick layers. Models of active dipole layers are then expressed using the same formalism that enables the integration of both periodic and active layers in the same model.