Theoretical study of the stripline ferromagnetic resonance response of metallic ferromagnetic films based on an analytical model

TL;DR

This paper presents an analytical model for broadband stripline ferromagnetic resonance in metallic films, incorporating exchange interactions and boundary conditions, enabling quick numerical analysis of effects like eddy currents and surface pinning.

Contribution

The paper introduces a new analytical model that simplifies the calculation of FMR response in metallic ferromagnetic films, including exchange effects and boundary conditions.

Findings

Eddy current shielding significantly affects FMR response.

Surface pinning alters the shape of the FMR spectrum.

The model allows rapid exploration of parameter space.

Abstract

We develop an advanced analytical model for calculating the broadband stripline ferromagnetic resonance (FMR) response for metallic ferromagnetic films, taking into account the exchange interaction as well as the exchange boundary conditions at the film surface. This approach leads to simple analytical expressions in the Fourier space. As a result, a numerical code which implements inverse Fourier transform of these equations is very quick. This allows us to explore a wide space of parameters as numerical examples of application of this theory. In particular, we investigate the joint effect of microwave eddy current shielding and magnetisation pinning at the ferromagnetic film surfaces on the shape of the stripline FMR response of the film.