Not to get in any kind of debate as I don't have the base science to do that. So I'll just show what I have built and show how it performs and let it go from there:
This antenna is a full band 30" square Modified Cubic Quad antenna. I originally found the basic plans on line that web site is now gone.
This is the signal strenght meter on my unrestored Pioneer TX-9100 tuner in my office system at 1:00pm
The antenna is approx 10' off ground level 38 miles from the transmitter and in the middle of my house directly between the antenna and the outside of my house is my 300 amp split base power service half a dozen 40 watt flouresent tubes in the ceiling of my shop just on the other side of the office wall which carries 2 messes of 1/2" copper water pipe up stairs. My office directly under the atenna has 2 computers an Office stereo system varous wiring in the ceiling about 4' away from the antenna.
Outside my house is the neighbors house about 20 feet way so in a direct line between the antenna and the first open air it see's.
The lay of the land between my house and the broadcast antenna is basically flat with the antenna on a hill high enough to be pretty much a straight line.
The Station puts out approx. 97,000 watts with 2 HD channels on either side of the analog.
I have stations every .2mHz all up and down the dial.
Between about 6:00am and 9:00am this morning the meter was reading approx. 4.75-4.8 it seams to drop a little as the sun comes up higher in the sky we have moutains and foot hills to our East.
You can see great details how I built on of these antennas for my son in the NAVY as well as some detail photo's of this actual antenna in this thread:
http://audiokarma.org/forums/showthread.php?t=215209
works great for me might for you.