A theoretical framework for interpretation and prediction of magneto-optical measurements

Abstract: The interplay of experiments and theory is essential to deepen our understanding of magnetization dynamics. This thesis aims to serve as a bridge between these two aspects by establishing a mathematical framework that enables the computation of optical observable quantities based on theoretical models. The equations are cast in a matrix representation that is well-suited for performing numerical simulations. Additionally, the generality of these methods enables their application to layered media with any geometry, regardless of whether they possess magnetic properties or not. Furthermore, it explores the various perspectives and physical mechanisms involved in magneto-optic measurements to provide the reader with a self consistent introduction to the subject matter. Numerical calculations are presented for bulk Fe, alternating layers of Fe/Au and Ni with a MgO coating and a SiO substrate for different energies, angle of incident and magnetization direction. The results demonstrate the effectiveness of the method in predicting measurable outcomes from theoretical considerations and enables the analysis of optimal experimental configurations.