2007-11-26
Method of Largest Extended Circle for the Capacitance of Arbitrarily Shaped Conducting Plates
By
Progress In Electromagnetics Research Letters, Vol. 1, 51-60, 2008
Abstract
The most difficult step in the analysis of the capacitance of arbitrarily shaped conductingplates is the determination of the electric center, or the expansion point of the charge density. This paper presents the generalized Huygens' principle, which indicates that the charge distribution on a conducting plate of convex shape has a tendency to be a circle before approachingthe fringe. Therefore, the center of the largest extended circle can be taken as the electric center. The agreement with numerical methods is demonstrated.
Citation
Chang-Hong Liang, Hao-Bo Yuan, and Kang-Bo Tan, "Method of Largest Extended Circle for the Capacitance of Arbitrarily Shaped Conducting Plates," Progress In Electromagnetics Research Letters, Vol. 1, 51-60, 2008.
doi:10.2528/PIERL07112101
References

1. Liang, C. H., L. Li, and H. Q. Zhi, "Asymptotic closed form for the capacitance of an arbitrarily shaped conducting plate," IEE Proc.-Microw. Antennas, Vol. 151, No. 3, 217-220, June 2004.
doi:10.1049/ip-map:20040273        Google Scholar

2. Stratton, J. A., Electromagnetic Theory, McGraw-Hill, 1941.

3. Harrington, R. F., Field Computation by Moment Methods, IEEE Press, 1993.

4. Cheng, D. K. and C. H. Liang, "Thinning technique for moment method solutions," Proc. IEEE, Vol. 71, No. 2, 265-266, 1983.
doi:10.1109/PROC.1983.12564        Google Scholar

5. Bancroft, R., "A note on the moment method solution for the capacitance of a conducting flat plate," IEEE Trans. Antennas Propag., Vol. 45, No. 11, 1704, 1997.        Google Scholar

6. Kuo, J. T. and K. Y. Su, "Analytical evaluation of the mom matrix elements for the capacitance of a charged plate," IEEE Trans. Microw. Theory. Tech., Vol. 50, No. 5, 1435-1436, 2002.
doi:10.1109/22.999161        Google Scholar

7. Collin, R. E., Field Theory of Guided Waves, McGraw-Hill, 1960.

8. Shumpert, T. H. and D. J. Galloway, "Capacitance bounds and equivalent radius," IEEE Trans. Antennas Propag., Vol. 25, No. 2, 284-286, 1977.
doi:10.1109/TAP.1977.1141566        Google Scholar

9. Wang, C. F., L. W. Li, P. S. Kooi, and M. S. Leong, "Efficient capacitance computation for three-dimensional structures based on adaptive integral method ," Progress In Electromagnetics Research, Vol. 30, 33-46, 2001.
doi:10.2528/PIER00031302        Google Scholar