The Variational Closed-Form Formulae for the Capacitance of One Type of Conformal Coaxial Lines

doi:10.2528/PIER03072303

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Progress In Electromagnetics Research	ISSN: 1070-4698, E-ISSN: 1559-8985

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THE VARIATIONAL CLOSED-FORM FORMULAE FOR THE CAPACITANCE OF ONE TYPE OF CONFORMAL COAXIAL LINES

By C.-H. Liang, X.-W. Shi, and J. Yang

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Abstract:
The variational closed-forms of the capacitance formulae of a type of conformal coaxial lines are presented in this paper with the assumption that the equipotential lines are conformal to the contour of the coaxial line. The variational extreme formula of the functional of continuous functions is first obtained. Then the variational stable and analytical expression of the capacitance is deduced. Considering the actual applications, we give the variational stable formulae of the capacitances of the conformal coaxial transmission lines whose contours are homogeneous curves of the 1st, 2nd and n-th order. Examples are given including the conformal regular polygonal, elliptical and highorder elliptical coaxial lines.

Citation: (See works that cites this article)
C.-H. Liang, X.-W. Shi, and J. Yang, "The Variational Closed-Form Formulae for the Capacitance of One Type of Conformal Coaxial Lines," Progress In Electromagnetics Research, Vol. 45, 277-289, 2004.
doi:10.2528/PIER03072303
http://www.jpier.org/PIER/pier.php?paper=0307233

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