2011-05-11
A Circuit Approach for the Electromagnetic Analysis of Inhomogeneous Cylindrical Structures
By
Progress In Electromagnetics Research B, Vol. 30, 223-238, 2011
Abstract
An equivalent circuit, made of the chain connection of a number of T-type twoport networks, is proposed for the very accurate representation of the frequency-domain behavior of radially inhomogeneous solitary cylindrical structures, the individual two-port networks being made of frequency-independent R, L and C lumped elements. The accuracy of the model is dictated by the number of two-port networks, a number that increases with the frequency. The equivalent circuit approach is validated with the help of an application example concerning a special type of inhomogeneous tubular structures where exact closedform field solutions do exist.
Citation
Jose Antonio Marinho Brandao Faria, "A Circuit Approach for the Electromagnetic Analysis of Inhomogeneous Cylindrical Structures," Progress In Electromagnetics Research B, Vol. 30, 223-238, 2011.
doi:10.2528/PIERB11040105
References

1. Chew, W. C., Waves and Fields in Inhomogeneous Media, IEEE Press, 1995.

2. Faria, J. A., "A matrix approach for the evaluation of the internal impedance of multilayered cylindrical structures," Progress In Electromagnetics Research B, Vol. 28, 351-367, 2011.        Google Scholar

3. Dinh, T. V., B. Cabon, and J. Chilo, "New skin-effect equivalent circuit," Elect. Letters, Vol. 26, No. 19, 1582-1584, 1990.
doi:10.1049/el:19901015        Google Scholar

4. Kim, S. and D. Neikirk, "Compact equivalent circuit model for the skin effect," IEEE MTT-S Int. Microwave Symp. Digest, Vol. 3, 1815-1818, 1996.        Google Scholar

5. Sen, B. K. and R. Wheeler, "Skin effects models for transmission line structures using generic SPICE circuit simulators," IEEE 7th Topical Meeting on Elect. Performance of Elect. Packaging, 128-131, 1998.
doi:10.1109/EPEP.1998.733910        Google Scholar

6. Mei, S. and Y. Ismail, "Modeling skin effect with reduced decoupled R-L circuits," Proc. Int. Symp. on Circuits and Systems, Vol. 4, 588-591, 2003.        Google Scholar

7. Mei, S. and Y. Ismail, "Modeling skin and proximity effects with reduced realizable RL circuits," IEEE Trans. VLSI Systems, Vol. 12, No. 4, 437-447, 2004.
doi:10.1109/TVLSI.2004.825863        Google Scholar

8. Wang, C., H. Liao, C. Li, R. Huang, W. Wong, X. Zhang, and Y. Wang, "A wideband predictive double- equivalent-circuit for on-chip spiral inductors," IEEE Trans. Electron Devices, Vol. 56, No. 4, 609-619, 2009.
doi:10.1109/TED.2009.2014184        Google Scholar

9. Silveira, F. and J. Lima, "Skin effect from extended irreversible thermodynamics perspective," Journal of Electromagnetic Waves and Applications, Vol. 24, No. 2/3, 151-160, 2010.
doi:10.1163/156939310790735787        Google Scholar

10. Lovric, D., V. Boras, and Vujevic, "Accuracy of approximate formulas for internal impedance of tubular cylindrical conductors for large parameters," Progress In Electromagnetics Research M, Vol. 16, 171-185, 2011.        Google Scholar

11. Faria, J. A., "On the transmission matrix of 2n-port reciprocal networks," Microwave and Opt. Tech. Letters, Vol. 33, No. 3, 151-154, 2002.
doi:10.1002/mop.10261        Google Scholar

12. Watson, G., A Treatise on the Theory of Bessel Functions, Cambridge University Press, 1922.

13. Faria, J. A., "Electromagnetic Foundations of Electrical Engineering," Wiley, 2008.        Google Scholar

14. Khinchin, A. Y., Continued Fractions, Dover, 1997.

15. Brandao Faria, J. A., "Skin effect in inhomogeneous Euler-Cauchy tubular conductors," Progress In Electromagnetics Research M, Vol. 18, 89-101, 2011.        Google Scholar