A Statistical Analysis of the Initial Microwave Tensor Susceptibility of a Polycrystalline Ferrite

The microwave tensor susceptibility of an inhomogeneous ferrite medium at remanence is analyzed statistically. A multivariate Gaussian distribution is used to characterize the magnetization of the medium as a random vector quantity. The orientation of a random vector quantity for magnetic field intensity in the medium is taken to be the same as for magnetization, but its magnitude is described with a uniform distribution. The statistical parameters of these distributions are defined as functions of such material properties as (1) the ratio of magnetization at remanence to that at saturation, (2) shape demagnetization, and (3) rf demagnetization. Numerical values of average tensor component susceptibility for several different inhomogeneous media are calculated using an analytical solution of the statistical model and shown to be within 11% of experimental results reported by other investigators.