correction:
moving the radials upward in close proximity to to radiating element compresses the electric and magnetic charge while increasing the capacitance between the radials and the vertical element. this creates additional loss resistance.
I tried to confirm this through modeling, intentionally removing other losses from the model. For example, I used free space to eliminate ground losses, I used perfect conductors to remove losses from materials. The results were... inconclusive.
I can say at least that this part of what you wrote sounds like it makes sense, at least at first glance, but at best I have been unable to verify this effect independently, thus far getting only inconclusive results. Because if this I have to wonder if, while the effect likely exists, is it large enough that anyone will actually ever notice it?
To put it another way, far to often the words "more efficient" and "less efficient" are thrown out there way to easily, but nothing is said about the much more important part, the degree of change in efficiency. Just saying "is more efficient" or "is less efficient" doesn't give me or anyone any real relevant information. For example, using a PL-259 to SO-239 connection is less efficient than directly wiring the coax to the antenna, but the difference in efficiency is in the range of 0.01 dB (yes, this has been directly measured by multiple people), a difference so small that you not only won't notice it, but wouldn't notice it if you had many of them chained together.
So, can you tell me how much of a difference in loss resistance angling said radials upwards to said degree makes?
Further, I'm not seeing where you are also factoring certain other changes that will happen and are relevant to this conversation, such as changes in directivity (hopefully in a benefician direction), which will also necessarily happen. Your the person I've seen talk about directivity the most in recent memory, and you actually have the concepts behind it mostly right, so what, in your opinion are it effects here? Is there enough of an increase in directivity in a beneficial direction to make up for said losses?
in addition, there's an instant increase in directivity of 3 dB. when any ground plane vertical is ground mounted. see logan and rockway 1997.
As bob85 said, this is assuming a perfect ground. If the ground below the antenna is an imperfect ground, it will always add losses, and according to modeling, alot more than most people (including you by the numbers you have posted int he past) actually realize. Of course many people who model use the mininec ground, which has a nasty effect of over reporting the gain of ground mounted antennas to, actually, close to 6 dB. A recent image you posted that shows a 3/4 wavelength ground mounted antenna outperforming another antenna mounted higher has this problem...
I should also point out here that there is a very big difference in the results from modeling and direct point to point measurements. Before Henry's report, for years Marconi and Shockwave tried to say each other was wrong based on this very fallacy, and didn't actually realize that they were effectively arguing apples with oranges. When making claims like this, be careful with what you are comparing. Unfortunately I have not had the time to thoroughly read through everything mentioned due to overtime at work, so I'm just going to post a warning here to be careful and make sure any claims about modeling over or under reporting anything as per measurements are apples to apples comparison of results.
Hmm, Marconi. I haven't seen him post in a while. I hope hes doing ok...
When it comes to the conversation about "effective area", or a more common way of saying it is "capture area" of an antenna I feel is more or less moot. You have a given amount of power being fed to the antenna. All the "effective area" or "capture area" of the antenna does is change the directivity of said antenna, at least according to the evidence I have seen. If the "effective area" or "capture area" was really important, you could simply make the antenna wider to compensate for the shorter length of some antenna designs, could you not? Width is an important part of antenna design after all. Alas, we know that this doesn't actually work that way, and actually ends up having the opposite effect...
Back to the antenna in question. I seem to recall Homer posing a report where several antenna designs that he made were compared at the same tip height, and the Vector clone he made outperformed all the others when it came to local distance, with the Astroplane second if I recall? Sometimes I wish I had a link to said post for a reference as I have looked back on occasion and have yet to find it again...
The DB