the TOA (and thus the ground loss) for a vertical and a horizontal beam fed at the
same feedpoint height will be different.
Modelling results
In January 2008, —as little as three months before his lamented dead— L. B. Cebik, W4RNL (SK) published what was going to be the last entry of his seminal
10–10 News series.
It turned out to be an interesting
gain comparison of
single element 28.4 MHz antennas modelled over various ground types.
. His findings seem to fit well with what John Devoldere, ON4UN modelled and published for equivalent antennas on the lower HF bands.
Horizontal HF antennas
… benefit from nearby ground gain
At a height of about λ/2, the nearby ground reflection of a horizontal HF antenna will start to be constructive at interesting take-off angles for long- distance ionospheric contacts. This will
provide a net gain over the antenna in free-space.
Vertical HF antennas
… suffer from nearby ground loss
This is not the case with vertical HF antennas.
Nearby ground only contributes loss. This even more so when the ground forms part of the return path of the radiating structure.
Even when far-away ground reflections may cause the directivity of a vertical HF antenna at low take-off angles to be much higher than that of a horizontal HF antenna, its
net gain will still be lower at those angles.
This makes the horizontal HF antenna a clear winner.
Note that gain and directivity are not synonymous; gain takes into account losses, directivity does not.
https://www.google.com/url?sa=t&rct=j&q=&esrc=s&source=web&cd=1&cad=rja&uact=8&ved=0ahUKEwjd6d-8vZ_KAhUG3SYKHb6EB4EQFggfMAA&url=http://hamwaves.com/vertical-horizontal/en/&usg=AFQjCNHpvyHi7ThHU18Og3UgU9dlWfNDSA