I don't know if these models apply to the topic of this thread, but I see some guys claiming a 1/4 radiator has a 35 ohm impedance, but I seldom see that happen.
My real world testing of the 1/4 wave a few years ago didn't reveal that to be true as stated, and later when I learned to model using Eznec, it didn't prove that the 1/4 always shows a 35 ohm impedance either. I use to think the impedance at the end of a 1/4 wave radiator was always 35 ohms too. The argument that a 1/2 wave dipole showed about 73 ohms at resonance made a very convincing argument for the 1/4 showing about half of what a dipole did.
Since then, very few ever talked about feed point height, among other factors, that can effect the feed point impedance, so I did the following models to show how the feed point impedance for a 1/4 wave varies.
I'm not even getting into how the 1/4 wave radiator act on a mobile, because it is near to impossible to predict how that shape and size effects the ground plan that the 1/4 wave radiator needs to work predictably.
This fact probably helps explain why we hear so many stories about the success and failure for 102" SS whip installs on mobiles.
#1, is a resonant 1/4 wave whip with 1 suitable horizontal 1/4 wave radiator in the common L configuration at 32' feet. It shows a near perfect match at resonance, but a terrible pattern with a maximum vertical angle above 60* degrees. I think 'Doc is suggesting this weak design for a 1/4 wave with a very good match that doesn't talk worth a flip. Some autos might emulate such a pattern very well depending on install and how the ground plan works, yet it shows a super match which are often serious bragging rights for some owner/operators.
#2, model is a 1/4 wave with 4 x 1/4 wave horizontal radials. Again we see resonance, but the match is a bit high. The pattern is acceptable and workable, and we see the antenna dimensions get longer in order to produce resonance with a very low resistance part for the match. Again this match is still no where near 35 ohms, unless I set the model at a height of 17.75' feet above real Earth. Do you think this is where the idea for a 1/4 wave having an end impedance of 35 ohms came from?
#3, model is a 1/4 wave with 4 x 1/4 wave slanted down at 45* degrees radials that requires the antenna to become considerably shorter in radiator and radial lengths. Here we see a little better pattern, with a little improvement in gain, and again we see a near perfect match. However the maximum angle of radiation as actually gone up a bit, and this is contrary to many others who claims that slanted down radials on a 1/4 wave actually lowers the maximum angle. Not true again.
#4, model is similar to the original Starduster with slanted down radials at about 17* degrees. This configuration still has shorter elements than model #3, showing a bit better pattern with an improved maximum gain, but the angle is the same in the lower lobe and a bit lower in the upper lobe. So, in this sense only is the angle lowered as a result of slanting the radials down. Here you can see the results and not just read some words.
In order for me to tweak these models to show no reactance I had to tune using very small increments, maybe less that a .64 of an inch as I got close to Zero reactance. So when you get very close to perfect your adjustments are likely to be extremely small and maybe you didn't know that either. Here you could see the small differences if I posted the wires definitions...but that is just fodder that most don't understand and nobody has ever asked me one question on how to understand the data entry form for this software.
Now I ask you...did you see one 1/4 wave model here that showed a 35 ohm impedance? If I showed you a 1/2 wave resonant dipole, I would bet you would see an impedance near 70-73 ohms however. Go figure.
View attachment Quarter wave radiator..pdf
If you don't understand a little about what these models are revealing here...then just ignore my post. Believe me when I say: "...before I learned to model with Eznec I didn't always know how to consider or what to believe about antennas either. Sometimes I found my ideas were confirmed however, but I could not really say in words anything that was really convincing to prove my point. I saw things happen in my real world testing too...that I could not put into words. Sometimes modeling reveals things in a way that I could understand, and then I present my models with a hope to pass on some that understanding, but often it is all in vain me thinks.
I hope this helps someone, it looks really clear and revealing to me.