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Antenna 48
Resonant Antennas: Wires and Patches
Dipole Antennas
Current distribution approximation
Un-normalized pattern:
and
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Radiating power:
For half-wave dipole
and, , or at exact
resonance. And
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Effect of dipole thickness1. Resonant length: decreases as thickness increases2. Resonant resistance: decreases as thickness
increases3. Bandwidth: increases as thickness increases
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Flat Dipole
Vee Dipole
Formula for maximum directivities:
and the directivity
Properties:1. Greater directivity than dipole2. Smaller input impedance than dipole3. Lower sidelobe and one of the main beams.
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Folded Dipole Antennas
Input impedance for the transmission line mode:
Thus,
Let be the input impedance of a dipole of length
The input impedance will be
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Note:
Properties:1. Impedance can be made to be , the same as the
common two wire transmission line.2. First and second resonances have similar
impedances.3. Wider bandwidth than dipoles
For different wire sizes:
where
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Microstrip Patch Antennas
Resonant half wave patch:
2:1 VSWR Bandwidth:
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Input resistance adjustment factor , where is
the distance from the radiation edges.
Patterns:
, E-plane,
, H-plane,
Properties:1. Low bandwidth. A few percent for single patch.2. Low profile, light weight.3. Easy to construct.4. Easy to integrate to microwave circuits.5. Low gain.6. Increase substrate electric thickness, increase
bandwidth. But, also increase surface wave,reducing efficiency.
Shorted quarter wavelength patchExample 5-2
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Gain calculation:
where is the spacing, is number of elements.
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Yagi-Uda Antennas
Sumarry:1. Reflector
a. Longer than driver. b. Effect input impedance and the back lobe. c. Optimum spacing: 0.15 to 0.25 wavelength.d. Usually only one element. More elements only
increases gain a little bit.e. Exact optimum length is primarily a function of
the tube diameter and the boom diameter.2. Driver: usually a half-wavelength dipole.
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3. Directora. Shorter than driver typically by 10 to 20%.b. Optimum spacing: 0.2 to 0.35 wavelength.c. Effect pattern shape and gain.d. Gain increases as number of directors increases.e. Exact optimum length is a function of the tube
diameter, the boom length and the diameter ofthe boom.
4. Design procedure:a. Look up table 5-4 to get the lengths of the
directors and reflector.b. Adjust the length by the tube diameter from
Figure 5-37c. Compensate for the changes in the lengths of
parasitic elements due to the tube diameter byFig. 5-37.
d. Compensate for the changes in the lengths ofparasitic elements due to the boom diameter byFig. 5-38.
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Example 5-1Parameters1. Number of element:12.2. Wavelength: 1.46m.3. Tube diameter: 1cm.
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Corner Reflector Antennas
Summary:1. Simple and achieve gain of 10 to 12 dB over a half-
wave dipole.2. Good directivity for .3. Maximum directivity at with input impedance
.4. At , input impedance is , negligible
decrease in gain.5. Effect of finite extent of the plates
a. Broaden the pattern, but have little effect on theinput impedance.
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b. Usually choose such that the main beam isnot degraded.
c. Usually choose to be 1.2 to 1.5 times of thelength of the feed to minimize the directradiation by the dipole feed into the backregion.
Large Loop Antennas
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Summary1. Resonate at integer multiple of wavelength.2. Input impedance at one wavelength.3. Gain 3.09 dB at one wavelength.
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Wire Antennas Above an Imperfect Ground Plane
Vertical oriented dipole
Horizontal oriented dipolexz-plane:
yz-plane:
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In the united states, typically and .
Summary:1. Plane wave reflection is only an approximation.2. Surface wave propagates along the ground plane
surface. For HF and VHF frequencies, the surface
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attenuates very rapidly.3. For near , . Vertical antennas close to a
real earth have zero radiation. Surface waveaccounts for all propagation as in AM broadcasting.
4. For vertical antennas, surface wave can be neglectedand plane wave reflection can be used..
5. For horizontal antennas, the antenna should beabove the earth for the plane wave reflectioncoefficient method to be valid.
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Feeding Wire AntennasImpedance matching1. Matching network2. Adjust feed point.
For half-wave dipole
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Balun (Balance-unbalance)
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