It would be an interesting model to see if the length offers bandwidth that the "top hat" truncated.
JMO - By doing he Top hat - you affect Q - you do the reciprocal of same by removing the Top Hat and then lengthening the element to offset this change - then that would affect the "Q" as a bandwidth - adding a noise level due to the increased bandwidth - but also a vertical polarization effort - along with Fractional Wavelength changes which would make it more prone to noise pickup?
Curious...
JMO - By doing he Top hat - you affect Q - you do the reciprocal of same by removing the Top Hat and then lengthening the element to offset this change - then that would affect the "Q" as a bandwidth - adding a noise level due to the increased bandwidth - but also a vertical polarization effort - along with Fractional Wavelength changes which would make it more prone to noise pickup?
Curious...