Some hams don't have room for a full-sized folded dipole and a 4:1 or 6:1 balun doesn't always provide a perfect match. What if we could shorten the length of the folded dipole by about 18% and by proper choice of a 450 ohm ladder-line matching section, we could ensure a good match to 50 ohms through a 1:1 choke-balun?
Can the impedance transforming characteristics of 450 ohm ladder-line (with reflections) be used to achieve a perfect match to a 50 ohm transceiver? Yes, if we can cause a 9:1 SWR on 450 ohm ladder-line, the impedance at a current maximum point on the line will be 450/9=50 ohms. So how can we cause a 9:1 SWR on 450 ohm ladder-line when it is driving a folded dipole? The answer is by shortening the length of the folded dipole to less than 1/2 wavelength. The antenna in the above graphic covers the entire 40m band with an SWR less than 2:1. Please note that all of the following suggested lengths of feedline are approximations. One must usually adjust the actual length to achieve lowest SWR on one's target frequency.
If we shorten the folded dipole by ~18%, the feedpoint impedance becomes capacitively reactive, causing the SWR to rise to ~9:1 such that the impedance looking into a ladder-line matching section is 50 ohms resistive at a current maximum point on the feedline. The following graphic shows what happens to the SWR on the 450 ohm ladder-line as the 40m folded dipole is shortened. Somewhere around 54.5 feet, the feedpoint impedance of the folded dipole causes an SWR of 9:1 on the ladder-line. That's the length we are looking for indicated by the green lines on the graph.
Folded Dipole Length in feet = ~390/f. 450 ohm ladder-line matching section length = ~170/f
This approach will work for any HF band. Here's an example for 40m from the above graphic:
Length of folded dipole = 390/7.15 = ~54.5 feet. Length of 450 ohm matching section = 170/7.15 = ~24 feet. (Used with a tuner, this antenna will also work well on 30m, 12m, and 10m.)
We can also use 300 ohm twinlead and 600 ohm open-wire line but the formulas change somewhat.
For 300 ohm line: Folded Dipole Length = ~415/f and matching section length = ~159/f
For 600 ohm line: Folded Dipole Length = ~368/f and matching section length = ~188/f
Does anyone need a no-tuner shortened single-band folded dipole? Strangely enough, it will also work with a tuner on 30m, 12m, and 10m. Enjoy.