Hallén, Erik
(1956)
*Exact treatment of antenna current wave reflection at the end of a tube-shaped cylindrical antenna.*
IRE Transactions on Antennas and Propagation, 4
(3).
pp. 479-491.
ISSN 0096-1973.
doi:10.1109/TAP.1956.1144401.
https://resolver.caltech.edu/CaltechAUTHORS:20190911-134542992

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## Abstract

Antennas, whose radiating body has a cross section which is small in comparison to the length of the antenna and to the wave length; i.e., antennas consisting of wires and rods, are to a very wide extent treated with the help of a linearized integral equation, the invention of the author. In this equation the distance between two points on the antenna is normally represented by the distance between the corresponding points on some central line. Only when the distance is small this is not permitted and from such regions arises the only term which contains the dimension of the cross section, which is a parameter mainly consisting of a logarithm. The equation therefore has a certain limited degree of accuracy which is such that the ratio of the radius of cross section to the length of the antenna or to the wavelength is neglected compared with unity. The results which can be drawn from the linearized integral equation thus also should have this limited accuracy which is a normal one in electrotechnics in all kinds of devices, where wires are involved. Nevertheless much discussion has gone on about this accuracy. The only way of finding definite numerical answers to this question is to solve exactly the antenna integral equations, both the linearized one and the exact one, for some special case. Nowadays this can be done for a straight cylindrical tube-shaped antenna.

Item Type: | Article | ||||||||||||
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Related URLs: |
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Additional Information: | © 1956 IEEE. | ||||||||||||

Group: | Caltech Antenna Laboratory | ||||||||||||

Subject Keywords: | Reflector antennas, Reflection, Integral equations, Gallium nitride, Surface resistance, Antenna accessories, Wires, Books, Paper technology, Receiving antennas | ||||||||||||

Issue or Number: | 3 | ||||||||||||

DOI: | 10.1109/TAP.1956.1144401 | ||||||||||||

Record Number: | CaltechAUTHORS:20190911-134542992 | ||||||||||||

Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20190911-134542992 | ||||||||||||

Official Citation: | E. Hallen, "Exact treatment of antenna current wave reflection at the end of a tube-shaped cylindrical antenna," in IRE Transactions on Antennas and Propagation, vol. 4, no. 3, pp. 479-491, July 1956. doi: 10.1109/TAP.1956.1144401 | ||||||||||||

Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||||||||

ID Code: | 98581 | ||||||||||||

Collection: | CaltechAUTHORS | ||||||||||||

Deposited By: | Melissa Ray | ||||||||||||

Deposited On: | 13 Sep 2019 14:53 | ||||||||||||

Last Modified: | 16 Nov 2021 17:40 |

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