# Accession Number:

## AD0601843

# Title:

## THE IMPERFECTLY CONDUCTING CYLINDRICAL TRANSMITTING ANTENNA,

# Descriptive Note:

# Corporate Author:

## HARVARD UNIV CAMBRIDGE MASS CRUFT LAB

# Personal Author(s):

# Report Date:

## 1964-03-27

# Pagination or Media Count:

## 39.0

# 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 broad-band 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 propagation constant k. An approximate solution of this equation is then obtained in terms of the three trigonometric functions, sin k h-absolute value of z, cos kz - cos k h and cos 12 k0z-cos 12 k0h where k0 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. Author