Formulation of the Analytic Morphology Function for Permeability Measurements in a Resonant Stripline Cavity

In order to obtain the permeability of thin, rectangular, isotropic, and homogeneous substrates, we applied a correction to the effective (or apparent) permeability that is observed in resonant stripline cavity measurements. The correction was formulated as a single, closed form, analytic Morphology function. The Morphology function was applied for all measurement frequencies, and was parameterized in order to perform correction for a range of substrate cross-sectional sizes. Using both simulated and actual hardware measurements, comparisons were made to an existing correction method, which was shown to be a special case of the general Morphology function. In comparison, the Morphology function demonstrated a reduction in permeability inversion error, which was shown to be primarily bounded by sample cross-sectional size.