The tensor permeability components were determined using circularly polarized microwave radiation, having established maximum allowed sample sizes from a study of the cavity perturbation conditions. It was shown that very slight departures from circular polarization markedly affected the results in the magnetically unsaturated state and electron paramagnetic resonance in a DPPH sample was used to set up the circular polarization very accurately. Examples of the data obtained for polycrystalline YIG at 9.3 GHz are epsilon '=15.2+or-0.3, epsilon "=0.009+or-0.001, mu '=0.91+or-0.02, mu "=0.003+or-0.0008, in zero field. In a field of 100 Oe, kappa '=-0.08+or-0.02 and kappa "=0.002+or-0.0003. The zero field losses are in agreement with calculations based on a natural resonance occurring at a lower frequency due to domain structure.