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Dipoles in front of a Reflector
Plane
Description
of Antenna
The diagram below shows the
applicable dimensions for two or more dipoles in front of
a reflector plane, namely the dipole spacing (d) and reflector
spacing (s) as well as the reflector dimensions. The reflector
is assumed to be infinitely thin and a perfect conductor.
For a single dipole, reflector spacing and dimensions are
the only relevant parameters. For the purpose of creating
the following design curves, the reflector dimensions are
kept constant at a width and height of 0.444 lambda.

Design Curves
The following two design curves
illustrate the gain/bandwith trade-off characteristic of 2,
3 and 4 dipoles at a distance 0.125? in front of a reflector
plane with a length and breadth of 0.444?. The gain and bandwidth
are related to the spacing between the dipoles.
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Figure
1: Gain vs Spacing between Dipoles
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Figure
2: Impedance Bandwidth vs Spacing betwenn Dipoles
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In case of a single dipole
in front of a reflector, the gain and bandwidth can be related
to the spacing between the dipole and a reflector plate with
a width and height of 0.444?. The relationships can be seen
in figure 3 and figure 4.
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Figure
3: Gain vs Spacing from Reflector Plate
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Figure
4: Impedance Bandwidth vs Spacing from Reflector Plate
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Example
An antenna consisting of dipoles
in front of a reflector plane is required that fits the following
specifications:
* A gain of at least 9.5 dBi
* An Impedance bandwidth of at least 10%
* The space between the dipoles and must be greater than 0.04
lambda
* Operating frequency of 450 - 900Mhz
A single dipole will satisfy
the required bandwidth at the specified distance (figure 4),
but the maximum gain (for a single dipole) at 0.04 lambda
is only 8.75dBi, which is insufficient. More than one dipole
is therefore needed. Two dipoles spaced 0.025 lambda apart
will satisfy both the gain (9.85dBi - figure 1) and bandwidth
(13.1% - figure 2) requirements. The spacing between the two
dipoles is not critical however, and can vary between 0.025
lambda and 0.05 lambda while still satisfying the given specifications.
The antenna thus has the following
characteristics:
* a reflector plane with width
and height equal to 0.444 lambda (1m)
* two dipoles, spaced between 0.025 lambda (56mm) and 0.05
lambda (112mm) apart from each other and 0.125 lambda (281mm)
from the reflector plane
* a minimum gain of 9.85dBi
* a minimum bandwidth of 13.1%
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Note: these
design curves provide only a rough estimate of a particular
antenna's dimensions and performance. In order to fully specify
the antenna it should be simulated, using the values obtained
from the curves if so desired.
Reference:
Fourth Year Design Report, "Investigate the Design of
Dipoles in front of a Reflector Plane" prepared by Bily
Purushothaman for the School of Electrical and Information
Engineering, University of the Witwatersrand, August 2003.
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