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I noticed that on a near field impedance chart that a short height vertical, who’s far field is defined as being Lambda/2PI. That over half of the electrical field impedance is lost in the first 10% of the radius of the near field.
In which case, I would use a ground system of 16 radials about 30 foot long, and then cover the ground around the radiator at a distance of about 10 foot radius with chicken wire fencing, all connected together and grounded to the ground system in the middle. This should be laid on top of the ground. And it reduces the ground losses in the first 10% region of the near field. This keeps the rf voltage field voltage up in this region. And so, might help the bandwidth.
I would also use a 1/2 inch copper water pipe for a radiator rather than a CB whip. The rf skin resistance of the CB whip is higher than the 3 meter high radiation resistance. The 1/2 inch copper pipe has lesser losses.
And if you want to keep the ground losses down at the feed point never end feed the base loading coil. Always ground the bottom end of the coil and ground the coax shield to that also. And tap the base loading coil for a impedance transformation. And well, a impedance matching network really should be used to fine tune the match to the coil tap.
Technically, a capacitance hat does not add electrical wavelength length to the antenna. And since a hat folds back downwards and has a circular wire connecting all the ends. No length is added to the radiator. Of course views will vary. Pro and Con on the definition of a 3 meter monopole.