I have argued multiple times that as you angle the 1/4 wave radials down on a 1/4 wave antenna that the antenna as a whole acts less and less like a ground plane vertical and more and more like a dipole. I see no reason why the same wouldn't be true for a 5/8 wave groundplane antenna with 5/8 wavelength radials and an extended double zepp antenna.
I might think the same thing DB, and there have been discussions about doing that very thing. I guess the idea most talked about is it will make the 5/8 wave have a better match, but my models don't support that idea like it does with a 1/4 wave radiator...an antenna that really needs a good ground system in the setup.
My 5/8 wave models also indicate very little difference in gain and no difference in angle when the idea of slanted radials is applied vs. horizontal radials.
My only concern for this last link is it is in freespace, and not near a simulated earth ground. It would be interesting to see how a real ground being some distance under such an antenna would affect it.
I know he writes some of his images are in free space, but you can look as the patterns and tell they are not free space models. One image also says it is an azimuth view as well, and that is either BS or my ignorance one.
Plus this guy says he was using Eznec Demo, and it has sever limitations allowing us to only use 20 segments. The models I used here are close to 100 segments, and that is a segment length of 1' foot long on average for all elements. IMO, that is too long for segments.
Another thing to mention, I have several times in the past on this forum mentioned that I would like to play with a vertical extended double zepp, and every time someone says it would be a cloud warmer. I was never so sure about that as how I apply what I know of antenna theory disagrees with that postulate. The article you linked in the first post of this thread also disagrees with what I have been told by multiple people. In the "Where 5/8-Wavelength Pays Off" section it does state that such a vertical antenna will still have real gain on the horizon, however it does not provide any pattern of such a setup at any distance over real earth.
All that being said, there is definitely a difference between radials of any size and a theoretical "perfect" ground plane of "infinite size and infinite conductivity". Even with radials of 2, 3, 4, 5, 10, or 20 wavelengths long, it is still not the same, therefore the "mirror effect" that such a ground plane presents is incomplete at best. Therefore, if you limit yourself to 5/8 wavelength radials and angle them down as mush as you can, would that not help complete the "mirror effect" as you are physically (and electrically if I am not mistaken) closer to the ideal 5/8 wavelength antenna and its electrical mirror?
The DB
I don't know much if anything about the mirror effects, but there is discussion in the article. Maybe when we hear talk about a double zepp, the discussions are typically ham related, and about horizontal wires. IMO the EDZ seems to require more height and works better at lower frequencies well below 11 meters...or else it will produce maximum RF at a higher angles than may be desired. I have a model of two 5/8 wave radiators stacked vertically and it looks to provide some good gain, but it is very tall and that alone will limit its use in 11 meters.
Homer made a remark about the subject of "edge diffraction" a while back, and that has something to do with why the patterns for these antennas tend to fail in reaching the gain levels that an antenna over infinite ground can attain...the theoretical gain theory in this study.
My only point in this thread is that CB ideas about gain for these vertical antennas may have come from information in this study and this review. Maybe what we hear repeated claimed about the gain for the 1/4, 1/2, and 5/8 wave radiators may have been misunderstood, misrepresented, or just ignored...based on what might happen with these antennas over real Earth.