The characteristic impedance of two infinite cones of arbitrary cross section
- 1 April 1958
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Antennas and Propagation
- Vol. 6 (2) , 197-201
- https://doi.org/10.1109/tap.1958.1144578
Abstract
A theoretical method of finding the characteristic impedance of two infinite cones of arbitrary cross section is presented. In this problem, the spherical geometry can be mapped on a plane, thus reducing the problem to finding the solution of Laplace's equation by using conformal mapping techniques. This method is applied to the inclined biconical antenna and several types of fin antennas. The solution for the biconical antenna isZ_{0}=\eta/2\pi \cosh ^{-1}F, whereFis a function of the geometry of the antenna. For the fin, the solution takes the formZ_{0} =\etaK(k)/K'(k)whereKandK'are complete elliptic integrals of the first kind andkdepends on the geometry.Keywords
This publication has 1 reference indexed in Scilit:
- Anwendung der Elliptischen Funktionen in Physik und TechnikPublished by Springer Nature ,1949