I was modeling different sized and angles for radials for a 5/8 wavelength antenna and opted to put this information here to make it easier for people who are interested to find...
Some info on the models first. The base of the 5/8 wavelength vertical section is 1 wavelength above average ground in all cases. Obviously the radials do go below this point as in most cases they are angled down. Changing the height and the ground quality, as well as other obstacle that may exist around the antenna can change the results you will see. Also, the angle of the radials is always in relationship to vertical.
The plots are always in the same order. First is the 1/4 wavelength radials, then the 1/2 wavelength radials, and the third and last are 5/8 wavelength radials.
Starting with the 90* or horizontal radial set.
The radiation pattern varies some here, as the 1/4 and 1/2 wavelength radials both have good low angle gain, with the 1/2 wavelength radials the best gain at 0.8 DBi gain over the 1/4 wavelength radial set. The 5/8 wavelength radial set is causing a high major lobe at 45* above the horizon. This high angle lobe gains dominance when the radials are not much longer than 1/2 wavelength in length. It is like flipping a switch, not a gradual change. If you are designing an antenna with such a horizontal radial length you may consider using slightly shorter radials than 1/2 wavelength to avoid the quick changeover to this high angle lobe.
Next the 75* angle set of radial set.
With the 1/4 wavelength antenna angling the radials down even this small amount pushed the strongest signal to a higher angle lobe. As we continue to angle the radials down more and more of the signal is put in this higher angle lobe, part of it being robbed from the lower angle lobe.
With the 1/2 wavelength radials gain appears to have shot way up, but so has the radiation pattern. I was surprised at how quick this change over happened.
With the 5/8 wavelength radials gain seems to have dropped, but so has the dominance in the higher angle lobe.
The 60* angle radial set.
Both the 1/2 and 5/8 wavelength radial sets have moved their strongest radiation to a lower lobe. In neither case is it the lowest lobe, but both of the antennas would be useable.
The 45* angle radial set.
At this point the 1/2 wavelength radial set is lowering its main lobe some and increasing that lobes gain at the expense of all other lobes, including the low angle lobe.
The 5/8 wavelength radial set for the first time has the low angle lobe as the dominant lobe. As of yet this is the strongest low angle lobe seen. There are also no significant high angle lobes, allowing for all of the significant output to be within 30* of the horizon.
The 30* angle radial set.
Here we see more of the same as above.
The 15* angle radial set.
For the second time we see the half wavelength radials with a dominant low angle lobe, however, the low angle lobe with the 5/8 wavelength radial set has even more low angle gain with a pretty significant 6 DBi gain not quite doubling the gain from the typical 4 1/4 wavelength horizontal radial setup (3.17 DBi)
Just for kicks, a single radial of said lengths at 0* off of vertical.
In all cases we see gain drop. There appears to be a point in this range that is the limit of the beneficial effects from the 1/2 and 5/8 wavelength radial lengths. From past experience I think this point is closer to the 15* point than the 0* point.
Notes:
1) I did not model a feedline or mast in any of these cases. Especially with the low angle of radial sets you would have to assume there will be some coupling to a mast and feedline as they are not far away.
2) The naturally higher impedance of the 1/2 and 5/8 wavelength radials will allow more RF to flow on the coax outer shielding and mast, compounding the problems from number 1) above.
Because of 1) and 2) above if experimenting with any of these setups I would recommend a non-conductive mast and a good RF choke for the coax.
I'm curious for your thoughts, or did I miss anything?
The DB
Some info on the models first. The base of the 5/8 wavelength vertical section is 1 wavelength above average ground in all cases. Obviously the radials do go below this point as in most cases they are angled down. Changing the height and the ground quality, as well as other obstacle that may exist around the antenna can change the results you will see. Also, the angle of the radials is always in relationship to vertical.
The plots are always in the same order. First is the 1/4 wavelength radials, then the 1/2 wavelength radials, and the third and last are 5/8 wavelength radials.
Starting with the 90* or horizontal radial set.
The radiation pattern varies some here, as the 1/4 and 1/2 wavelength radials both have good low angle gain, with the 1/2 wavelength radials the best gain at 0.8 DBi gain over the 1/4 wavelength radial set. The 5/8 wavelength radial set is causing a high major lobe at 45* above the horizon. This high angle lobe gains dominance when the radials are not much longer than 1/2 wavelength in length. It is like flipping a switch, not a gradual change. If you are designing an antenna with such a horizontal radial length you may consider using slightly shorter radials than 1/2 wavelength to avoid the quick changeover to this high angle lobe.
Next the 75* angle set of radial set.
With the 1/4 wavelength antenna angling the radials down even this small amount pushed the strongest signal to a higher angle lobe. As we continue to angle the radials down more and more of the signal is put in this higher angle lobe, part of it being robbed from the lower angle lobe.
With the 1/2 wavelength radials gain appears to have shot way up, but so has the radiation pattern. I was surprised at how quick this change over happened.
With the 5/8 wavelength radials gain seems to have dropped, but so has the dominance in the higher angle lobe.
The 60* angle radial set.
Both the 1/2 and 5/8 wavelength radial sets have moved their strongest radiation to a lower lobe. In neither case is it the lowest lobe, but both of the antennas would be useable.
The 45* angle radial set.
At this point the 1/2 wavelength radial set is lowering its main lobe some and increasing that lobes gain at the expense of all other lobes, including the low angle lobe.
The 5/8 wavelength radial set for the first time has the low angle lobe as the dominant lobe. As of yet this is the strongest low angle lobe seen. There are also no significant high angle lobes, allowing for all of the significant output to be within 30* of the horizon.
The 30* angle radial set.
Here we see more of the same as above.
The 15* angle radial set.
For the second time we see the half wavelength radials with a dominant low angle lobe, however, the low angle lobe with the 5/8 wavelength radial set has even more low angle gain with a pretty significant 6 DBi gain not quite doubling the gain from the typical 4 1/4 wavelength horizontal radial setup (3.17 DBi)
Just for kicks, a single radial of said lengths at 0* off of vertical.
In all cases we see gain drop. There appears to be a point in this range that is the limit of the beneficial effects from the 1/2 and 5/8 wavelength radial lengths. From past experience I think this point is closer to the 15* point than the 0* point.
Notes:
1) I did not model a feedline or mast in any of these cases. Especially with the low angle of radial sets you would have to assume there will be some coupling to a mast and feedline as they are not far away.
2) The naturally higher impedance of the 1/2 and 5/8 wavelength radials will allow more RF to flow on the coax outer shielding and mast, compounding the problems from number 1) above.
Because of 1) and 2) above if experimenting with any of these setups I would recommend a non-conductive mast and a good RF choke for the coax.
I'm curious for your thoughts, or did I miss anything?
The DB