DocumentCode :
1019717
Title :
On bounding the equivalent radius
Author :
Jaggard, D.L.
Author_Institution :
University of Utah, Salt Lake City, UT, USA
Volume :
28
Issue :
3
fYear :
1980
fDate :
5/1/1980 12:00:00 AM
Firstpage :
384
Lastpage :
388
Abstract :
The concept of the equivalent radius, first introduced by Hallén, has been useful in the solution of antenna and scattering problems that involve electrically thin wires of arbitrary cross section. Generally, the solution is first calculated for circular wires of an arbitrary radius, and this radius is then replaced by the equivalent radius of the noncircular wire. In this way the original problem is reduced to that of finding the equivalent radius. Here we bound the equivalent radius through the use of certain isoperimetric inequalities so that the bounds are completely described by knowledge of the wire´s cross-sectional area and perimeter. For a given cross-sectional area it is shown that the circular wire possesses the smallest equivalent radius. Applications of these results to problems in shielding and scattering are suggested.
Keywords :
Cylindrical antennas; Wire antennas; Books; Capacitance; Cities and towns; Coaxial components; Conductors; Electrostatics; Permittivity; Physics; Scattering; Wire;
fLanguage :
English
Journal_Title :
Antennas and Propagation, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-926X
Type :
jour
DOI :
10.1109/TAP.1980.1142336
Filename :
1142336
Link To Document :
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