We are getting too cerebral here for a CB thread.
I guess this is an odd forum then, here you are by far more likely to see this type of discussion on the CB antennas thread than the ham antennas thread. Go figure...
But, a cap has is NOT used for tuning purposes. That's what a loading coil is for on shortened antennas. A cap hat on a whip with no coil won't tune properly. I tried this once for myself in the real world without resorting to computer modeling.
The combination of the cap hat and the top load coil were for tuning purposes, not just the cap hat. The use of a coil shortens an antenna, but it also lowers R at resonance. A cap hat shortens an antenna while raising R at resonance. Balance the size of the cap hat and loading coil and you can control the resonant frequency and where R ends up at resonance. Using either the top load or a cap hat of the appropriate size and you can still find resonance. To say that a cap hat cannot be used to tune a shorter than 1/4 wavelength antenna is just plain wrong, although most cap hat designs are not adjustable so this is by far the more difficult route.
Also that modeling chart can't be correct since a 5 ft. antenna with a capacity hat will be on a different frequency and depending on how many capacity rods and their length ( You didn't consider that did you? ), it will probably be somewhere around the 15 meter band. YET YOUR MODELING PROGRAM SAY IT'S STILL ON THE 11 METER BAND.
SO YOUR MODEL PROGRAM IS WRONG!!!
I'm surprised Robb didn't catch it, but It shows he is out of his element.
Wow, do you really have that little faith in my modeling skills?
So about what you think I didn't consider, the length of the elements of the cap hat. (While not being addressed here I can make a cap hat of nearly any size and shape with modeling software) In my case there are four elements. One tip of each element is set at the same dimensional point as the tip of the vertical element of the antenna. The other tips points are adjusted by a variable and the direction of the elements are 90 degrees from the adjacent elements, and all four elements are on the same plane. I designed the model specifically to make tuning said cap hat easy, all I have to do to change the size of all four elements at once is change one variable. If reactance was negative I knew the antenna was electrically short, so I added length to the four cap hat elements. If said reactance was positive said elements were to long, and I adjusted accordingly. I made continuously smaller changes to the length of the cap hat until the antenna was resonant. It wasn't even hard to do, as a matter of fact, it was quicker and easier than tuning either of the coil based loads used in the other two models that one was compared to...
Seriously, have you read none of my posts on this forum in the past? Perhaps before you assume I would miss such a basic step again you should.
I suggest you do what I and most others do, apply your knowledge and experiments in the real world with hands on test equipment and see what works and don't rely so much on modeling programs.
I have done far more experimentation than you seem to think, although in my case not directly with cap hats. I also have an AIM4170c VNA that I use when working with antennas, among some other equipment, including some older equipment that does some of the same things such as a noise bridge and a dip meter. I break out said equipment for fun sometimes. I am well versed with working with real world antennas and modeling, and seriously, in my experience they provide remarkably close results.
Here is a question for you, have you ever made a cap hat that you can change the size of to tune the antenna?
The DB