The Exact Dimensions of a Family of Rectangular Coaxial Lines with Given Impedance

The potential problem associated with a capacitor bounded by concentric rectangles may be solved by conformably mapping a certain L-shaped region onto the upper half plane. In certain cases, the integral, by which the Schwarz-Christoffel transformation may be expressed, can be evaluated in terms of two elliptic integrals of the first kind. Then the odd- and even-mode impedance of the related transmission line is readily found.