Antenna Calculations

Antennas

DK7ZB 4-element Yagi

A 12.5-ohm four-element by Martin Steyer, DK7ZB, for 2 m SSB/CW. Aluminum tube, insulated above the boom. This page scales his 144.3 MHz table with wavelength. It is his design. The 22 dB front-to-back listing is on his portable-Yagi notes.

Free-space aluminum tube. No substrate factor. The radiator stays his 10 mm tube.

boom reflector — driven — director 1 — director 2 — s1 s2 s3
PieceLength
Reflector—
Spacing · reflector to driven—
Driven · tip to tip, 10 mm tube—
Spacing · driven to director 1—
Director 1—
Spacing · director 1 to 2—
Director 2—
Element span · reflector to director 2—
Boom · his listed 1.00 m—

Published gain and front-to-back

On the 1.00 m boom his summary table lists 7.5 dBd and 22 dB front-to-back. The dimension page states F/B > 20 dB, gain 7.5 dBd, half-power widths 54.4° horizontal and 72.8° vertical, and a pattern marked 7.54 dBd at 144.3 MHz. 7.5 dBd is about 9.7 dBi, higher than the +8.15 dBi printed for the foil Yagi, with a deeper rear null than the 8–15 dB of gain-optimized short booms. His 1.25 m four-element is listed at 8.2 dBd and 21 dB front-to-back, so this shorter boom is the one with slightly less gain. He describes the 12.5-ohm set as high gain for the boom length, with a narrow band: 144.0–144.8 MHz.

Build notes

  • Aluminum tube in free space. Parasitic elements are 6 mm or 8 mm on 2 m; the radiator is 10×1 mm tube on both rows of his table. Lengths here are that table scaled with wavelength, and the tube diameter scales the same way. There is no substrate K.
  • Mount the elements insulated above a 15×15 mm square aluminum boom, with polyamide clamps or 3–4 mm of clearance. A screw in the electrical center of an element does not change the length. He says contact with the boom detunes these Yagis.
  • The driven-element length is tip to tip and includes the insulated gap, 10–12 mm on 2 m. The radiator is two halves on an 8 mm insulating rod. Ground the coax socket to the boom.
  • The feed is 12.5 Ω. The match is two 50 Ω quarter-wave cables in parallel. Coax lengths for 2 m are on his construction page.
  • He gives good SWR from 144.0 to 144.8 MHz, and a trim of about 1–2 mm off each radiator tip for SWR 1.0 at 144.3 MHz.
  • Enter 144.3 MHz and the cuts match his millimeters. With 6 mm parasitics: reflector 1068 mm, driven 985 mm, directors 961 mm and 930 mm, positions 200 mm, 505 mm, and 985 mm. The 8 mm parasitics are 1066, 985, 954, and 921 mm. He lists the boom as 1.00 m.