High-frequency characterization of magnetic permeability using extended single-turn inductor and microstrip methods

The presence of anisotropy in the properties of materials presents challenges for their characterization. This is particularly relevant for magnetic materials, which are often sensitive to external fields. As such, the characterization of magnetic materials is a complex task. In this study, we propose extending the frequency range of the classic single-turn inductor method for disc-shaped samples with holes into the GHz range, utilizing numerical methods provided by Ansoft HFSS software. The measurement of the components of the magnetic permeability tensor depends on the direction of the applied magnetic field. To change the magnetic field direction, we developed a microstrip measurement setup for the same disc-shaped sample. Due to the complexity of the underlying mathematical model, we employed numerical methods to calculate the magnetic permeability.