Gain of Helix

Investigates the gain characteristics of the axial-mode helix antenna, a widely used circularly-polarized antenna, by addressing conflicting claims in amateur literature regarding its performance. This article summarizes an extensive numerical modeling study using NEC-2 to simulate approximately 10,000 different helical antenna configurations, systematically varying physical parameters like length and turn radius.

The study consumed around 3,000 hours of compute cycles, with each antenna model utilizing between 600 and 1,400 segments for accuracy. The modeling data were rigorously compared against professional antenna literature, including experimental and theoretical work, revealing that the original Kraus formula for gain is often overly optimistic, predicting gains up to 4 or 5 dB higher than observed.

Empirical expressions are provided for the maximum possible gain, Gmax(dB) = 10.25 + 1.22 L - 0.0726 L^2, and the optimum turn radius, Rmax = 0.2025 - 0.0079 L + 0.000515 L^2, both valid for antenna lengths (L) between 2 and 7 wavelengths. The research also notes that a half-lambda square groundplane performs nearly as well as an infinite groundplane, while radials incur a gain penalty of about 3.5 dB.