Law governing the intrinsic high frequency permeability of magnetic composites: Uncertainty Principle

Abstract: The intrinsic high frequency permeability spectra of ferromagnetic composites containing different volume fractions of iron and cobalt have been simulated. A law (called “Mghan’s law”) is proposed to explain the simulated results by assuming that there are plenty of LLG (Landau-Lifshitz#2;Gilbert) type natural resonances contributing to the intrinsic permeability spectra. The results clearly show that the spectra strongly depend on the distribution of local effective magnetic field, the interaction between the magnetic particles, the inhomogeneous damping constant of LLG precession, and the initial equilibrium states. Especially, the effect of particles shape distribution in each sampling on the local effective magnetic field. In view of this fact: it is absolutely impossible to have the same effect from these factors when someone prepares several measurement samples, an uncertainty principle is believed to hold for measuring the absorption properties of an electromagnetic wave composite. Therefore, this law tells us that we should be cautious when we are told the “excellent” absorption properties. Memory effect can be used to restore the intrinsic high frequency permeability for a specific defunct composite sample.