The imperfectly conducting cylindrical transmitting antenna

Author

King, R.W.P. ; Wu, T.T.

Author_Institution

Harvard University, Cambridge, MA, USA

Volume

14

Issue

5

fYear

1966

fDate

9/1/1966 12:00:00 AM

Firstpage

524

Lastpage

534

Abstract

The properties of a cylindrical antenna with a continuous ohmic resistance along its length are of interest in the design of certain types of directive broadband antennas and in the determination of the efficiency of dipole antennas. Conventionally, the contribution by ohmic resistance to the distribution of current and the impedance is contained in a particular integral that is either ignored or treated as a higher-order correction to formulas derived for perfectly conducting antennas. An alternative and more useful form has been developed in which the integral equation for the current is rearranged to permit the introduction of a complex wave number $k$ . An approximate solution of this equation is then obtained in terms of the three trigonometric functions, $\\sin k(h-|z|)$ , $\\cos kz-\\cos kh$ , and $\\cos frac{1}{2}k_{0}z - \\cos frac{1}{2}k_{0}h$ , where $k_{0}$ is the free-space wave number. Expressions are derived for the coefficients of these functions and for $k$ . Explicit formulas are given for the distribution of current and the admittance.

Keywords

Cylindrical antennas; Broadband antennas; Conductivity; Conductors; Dipole antennas; Directive antennas; Impedance; Integral equations; Physics; Receiving antennas; Transmitting antennas;

fLanguage

English

Journal_Title

Antennas and Propagation, IEEE Transactions on

Publisher

ieee

ISSN

0018-926X

Type

jour

DOI

10.1109/TAP.1966.1138733

Filename

1138733