An Improved Rectangular Cavity Approach for Measurement of Complex Permeability of Materials


An improved rectangular cavity (RC) approach is proposed for the accurate advanced permeability determination of materials within the microwave frequency band. The proposed approach assumes the bar-formed magnetic specimen to be placed along the width of the cavity to extend the sensitivity of the measurement. A generalized closed-kind formula is derived accordingly to see the complicated permeability of those bar-formed samples in terms of the cavity parameters measured below each loaded and unloaded conditions. The proposed formula is found to enhance the accuracy of the initial RC approach where samples are placed within the $H$ -plane traversing the most width of the cavity for permeability measurement. The improvement in accuracy is facilitated by considering the sinusoidal magnetic field variation over the check sample, that is otherwise neglected in most of the sooner approaches. The changed formula is numerically tested for a number of samples having wide range of permeability variations, and therefore the obtained results are usually 40% additional accurate than the values obtained using the initial formula. Finally, the synthesized magnetic samples, viz., the carbonyl iron-epoxy composite and therefore the manganese ferrite, are measured by putting them inside the fabricated X-band cavity with the assistance of a vector network analyzer. The proposed approach is sort of advantageous for magnetic materials as finite-size samples having sample to cavity volume ratio of less than 3e-3 can be characterised quite accurately with typical errors of two% and 3% in the real and imaginary components of the complicated permeability, respectively.

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