This paper presents a novel contribution to the analysis of skin-effect like phenomena in radially inhomogeneous tubular geometries that fit in the category of Euler-Cauchy structures (ECS). The advantage of ECSs is that solutions for the electromagnetic field can be described by very simple closed form formulae. This work addresses the evaluation of the per unit length complex magnetic reluctance of tubular ferrites, taking into account that their complex permeability strongly depends on the frequency. The motivation for this research is linked up with the nascent theory of magnetic transmission lines (MGTL), where the wave guiding structure is made of a pair of parallel ferrimagnetic pieces, and whose performance is critically dependent on the complex magnetic reluctance of its component pieces. The analysis presented is mainly focused on high frequency regimes up into the GHz range.
2. Magnusson, P., G. Alexander, V. Tripathi, and A. Weisshaar, Transmission Lines and Wave Propagation, 4th Edition, CRC Press, Boca Raton, 2001.
3. Kerns, Q. A., "Transient-suppressing magnetic transmission line,", Patent US 3376523, Apr. 2, 1968.
4. Faria, J., "Dispositivo formado por uma linha magnetica de transmissao para uso em circuitos integrados para aplicacoes na tecnologia Terahertz, (Magnetic transmission line device for terahertz integrated circuits),", Patent PT 106056, Dec. 12, 2011.
5. Faria, J. and M. P. Pires, "Theory of magnetic transmission lines," IEEE Trans. Microw. Theory Tech., Paper TMTT-2012-05-0407..
6. Horvath, M. P., "Microwave applications of soft ferrites," J. Magnetism Magn. Mat., Vol. 215-216, 171-183, 2000.
doi:10.1016/S0304-8853(00)00106-2
7. Faria, J., "Skin effect in inhomogeneous Euler-Cauchy tubular conductors," Progress In Electromagnetics Research M, Vol. 18, 89-101, 2011.
8. Wylie, C., Advanced Engineering Mathematics, McGraw-Hill, New York, 1975.
9. Faria, J., "A matrix approach for the evaluation of the internal impedance of multilayered cylindrical structures," Progress In Electromagnetics Research B, Vol. 28, 351-367, 2011.
10., , http://www.fair-rite.com/newfair/materials76.htm..
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