Hey NB, I have continued to work with my model of the 5 element Quad using your information as best I understand it. I have not matched the antenna as yet. Do you recall or know even close to the length of your matching line you used...or did you use a gamma match? It sure might save me a lot of trial an error if you would give up that little secret.
My model to this point has been tuned for a good match and not maximum gain. I think that limits the optimizing possibilities somewhat using the spacing and loop size to get more gain.
I have been working with this 5 element and I have seen some really good gain figures but the match was really bad and I was thinking it might be possible to get some more gain and then tune it with a 75 ohm line to show a good match at resonance without destroying the match.
I already have a whopping good rejection model with over -40db front to back. I know you could tell that using only your radio...but I'm not to sure one could really tell the difference in gain I've been seeing...and it isn't much difference using a balance spacing scheme thus far.
Below is the Free Space pattern with the max front/back noted in the antenna details printed out here.
OK, for a matching line just use a 1/4 wave of 75Ω direct-drive, but tune for maximum front - back.
...and if I didn't design & tune the quad used in comparison to a Yagi, I don't trust it.