Siberian Federal University

This paper presents an overview of a unified theoretical approach for analyzing resonance phenomena in stochastically inhomogeneous media based on the self-consistent approximation for the vertex function (SCA-V). It is shown that this approach removes the limitations of the traditional self- consistent approximation for the Green’s function (SCA-G), also known as the Migdal approximation, the Kraichnan approximation, or the self-consistent Born approximation. The method is generalized to systems of coupled wave fields, including magnetoelastic waves, and is applied to ferromagnetic resonance in inhomogeneous thin films. The approach provides a consistent description of resonance peak broadening, the formation of fine structure in the crossing-resonance region, and asymmetry of FMR lines caused by magnetostatic waves. In general, the SCA-V approximation is a universal analytical tool for studying wave processes in stochastically inhomogeneous media