Yagi-Uda Antenna Design
The design of a Yagi-Uda antenna is actually quite simple. Because Yagi antennas have been extensively analyzed
and experimentally tested, the process basically follows this outline:
As an example, consider the table published in "Yagi Antenna Design" by P Viezbicke from the National Bureau of Standards, 1968, given in Table I. Note that the "boom" is the long element that the directors, reflectors and feed elements are physically attached to, and dictates the length of the antenna.
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d=0.0085![]() SR=0.2 | ![]() |
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0.4 | 0.8 | 1.2 | 2.2 | 3.2 | 4.2 |
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R | 0.482 | 0.482 | 0.482 | 0.482 | 0.482 | 0.475 |
D1 | 0.442 | 0.428 | 0.428 | 0.432 | 0.428 | 0.424 |
D2 | 0.424 | 0.420 | 0.415 | 0.420 | 0.424 | |
D3 | 0.428 | 0.420 | 0.407 | 0.407 | 0.420 | |
D4 | 0.428 | 0.398 | 0.398 | 0.407 | ||
D5 | 0.390 | 0.394 | 0.403 | |||
D6 | 0.390 | 0.390 | 0.398 | |||
D7 | 0.390 | 0.386 | 0.394 | |||
D8 | 0.390 | 0.386 | 0.390 | |||
D9 | 0.398 | 0.386 | 0.390 | |||
D10 | 0.407 | 0.386 | 0.390 | |||
D11 | 0.386 | 0.390 | ||||
D12 | 0.386 | 0.390 | ||||
D13 | 0.386 | 0.390 | ||||
D14 | 0.386 | |||||
D15 | 0.386 |
Spacing between directors,    (SD/![]() | 0.20 | 0.20 | 0.25 | 0.20 | 0.20 | 0.308 |
Gain (dB) | 9.25 | 11.35 | 12.35 | 14.40 | 15.55 | 16.35 |
There's no real rocket science going on in the above table. I believe the authors of the above document
did experimental measurements until they found an optimized set of spacings and published it. The spacing
between the directors is uniform and given in the second-to-last row of the table. The diameter of the
elements is given by d=0.0085 ![]() As an example of Yagi-antenna radiation patterns, a 6-element Yagi antenna (with elements spaced along the +x-axis and the individual elements oriented parallel to the z-axis) is simulated in FEKO (1 reflector, 1 driven half-wavelength dipole, 4 directors). The resulting antenna has a 12.1 dBi gain, and the plots are given in Figures 1-3.
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Figure 1. E-plane gain of Yagi antenna.
Figure 2. H-Plane gain of Yagi-Uda antenna.
Figure 3. 3-D Radiation Pattern of Yagi antenna.
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