volume | PIER Journals

2007-11-26

Method of Largest Extended Circle for the Capacitance of Arbitrarily Shaped Conducting Plates

Chang-Hong Liang,

Professor Chang-Hong Liang

School of Electronics Engineering

Xidian University

China

Homepage

Hao-Bo Yuan,

Dr. Hao-Bo Yuan

Xidian University

China

Homepage

Kang-Bo Tan

Dr. Kang-Bo Tan

Xidian University

China

Homepage

Progress In Electromagnetics Research Letters, Vol. 1, 51-60, 2008

doi:10.2528/PIERL07112101

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

Copy Export

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

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

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.

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

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

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