DocumentCode :
1042030
Title :
The characteristic impedance of two infinite cones of arbitrary cross section
Author :
Carrel, Robert L.
Author_Institution :
University of Illinois, Urbana, IL, USA
Volume :
6
Issue :
2
fYear :
1958
fDate :
4/1/1958 12:00:00 AM
Firstpage :
197
Lastpage :
201
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 is 
, where 
is a function of the geometry of the antenna. For the fin, the solution takes the form 
where 
and 
are complete elliptic integrals of the first kind and 
depends on the geometry.
, where is a function of the geometry of the antenna. For the fin, the solution takes the form where and are complete elliptic integrals of the first kind and depends on the geometry.Keywords :
Biconical antennas; Conical antennas; Conductors; Conformal mapping; Geometry; Helium; Laplace equations; Magnetic fields; Maxwell equations; Surface impedance; Surface waves; Transforms;
fLanguage :
English
Journal_Title :
Antennas and Propagation, IRE Transactions on
Publisher :
ieee
ISSN :
0096-1973
Type :
jour
DOI :
10.1109/TAP.1958.1144578
Filename :
1144578
Link To Document :
