An Overview of the Natural Frequencies of a Straight Wire by Various Methods

There are a number of different methods for computing the natural frequencies of a straight wire antenna or scatterer. The most accurate method is that derived from a numerical solution to the integral equation for the wire current. Due to the relative difficulty in obtaining this solution, however,...

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Bibliographic Details
Published in:IEEE transactions on antennas and propagation 2012-12, Vol.60 (12), p.5859-5866
Main Authors: Giri, D. V., Tesche, F. M.
Format: Article
Language:English
Subjects:
Antenna transient analysis
Antennas
Applied classical electromagnetism
Applied sciences
Approximation
Computation
Diffraction, scattering, reflection
Electromagnetic wave propagation, radiowave propagation
Electromagnetism
electron and ion optics
Equations
Exact sciences and technology
Fundamental areas of phenomenology (including applications)
Integral equations
Mathematical model
Mathematical models
Moment methods
natural resonances
Physics
Radiocommunications
Radiowave propagation
Resonant frequency
Services and terminals of telecommunications
singularity expansion method
Systems, networks and services of telecommunications
Telecommunications
Telecommunications and information theory
Telemetry. Remote supervision. Telewarning. Remote control
Wire
wire antennas
wire scatterers
Wires
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Summary:There are a number of different methods for computing the natural frequencies of a straight wire antenna or scatterer. The most accurate method is that derived from a numerical solution to the integral equation for the wire current. Due to the relative difficulty in obtaining this solution, however, several different approximations to natural frequencies have been developed and used in the past. Most recently, a paper by Meyers, has described a variational approach for computing these natural frequencies. This paper provides a brief description of each of these methods for determining the natural frequencies of a straight wire, and then presents a comparison of the result of each method for a wire of diameter to length ratio ( d / L ) ranging from 0 to 0.1.
ISSN:0018-926X
1558-2221
DOI:10.1109/TAP.2012.2211317