ARS Advances in Radio Science ARS Adv. Radio Sci. 1684-9973 Copernicus Publications Göttingen, Germany 10.5194/ars-1-63-2003 On the matrices of capacitance and inductance coefficients for lossless homogeneous multiconductor transmission lines Reibiger A. 1 Technische Universität Dresden, Fakultät Elektrotechnik, Professur für Theoretische Elektrotechnik, Mommsenstr. 13, 01062 Dresden, Germany 05 05 2003 1 63 66 Copyright: © 2003 A. Reibiger 2003 This work is licensed under the Creative Commons Attribution-NonCommercial-ShareAlike 2.5 Generic License. To view a copy of this licence, visit https://creativecommons.org/licenses/by-nc-sa/2.5/ This article is available from https://ars.copernicus.org/articles/1/63/2003/ars-1-63-2003.html The full text article is available as a PDF file from https://ars.copernicus.org/articles/1/63/2003/ars-1-63-2003.pdf

Using results from the theory of planar fields and complex functions it is shown that for lossless homogeneous multiconductor transmission lines the computation of the matrices of capacitance and inductance coefficients can be reduced to the solution of some special Dirichlet boundary value problems. Additionally, a function theoretic proof is given for the relationship <b>LC</b> = <i>&#x03f5;µ</i><b>E</b> between these matrices.