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2 years ago in Electrical Engineering By Rishabh Khanna

My vertically polarized antenna’s main lobe is tilting upward. At what antenna height above ground does ground reflection transition from constructive to destructive interference, causing this pattern tilt?

I have a λ/4 monopole on a large ground plane. At low heights (e.g., λ/4 above real ground), I expect maximum radiation at the horizon. My measurement shows the peak gain at a 15° elevation. I understand this is due to the phase of the ground-reflected wave. Is there a simple formula or rule of thumb for the elevation angle of the first maximum as a function of antenna height (h) and ground constants? Does this mean for certain applications (e.g., terrestrial links), there's an "optimum" height to maximize horizontal gain?

MonopoleDesign AntennaSimulation ElectricalHeight PatternTilt GroundPlane

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By Arjun Answered 1 year ago

This is classic ground reflection array theory. For a monopole of height *h* above perfect ground, the far-field is proportional to sin(kh sinθ), where θ is the elevation angle (0° at horizon). The first maximum occurs when the argument is π/2, leading to:
θ_max = arcsin( λ / (4h) ).
So, for *h = λ/4*, θ_max = arcsin(1) = 90° (straight up, which is incorrect for real ground). For real ground, the reflection coefficient has a phase shift near 180° at grazing angles, modifying the pattern. For a typical *h = 0.5λ*, the formula gives θ_max ≈ 30°; with real ground, it's closer to 15-20°. The "optimum" height for maximum horizon gain is actually very low (h

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