I agree with Dan. Loops are most common on the lower bands where a full-sized antenna
is inconvenient, but there is no reason that they can't be used on any frequency. (Though
at VHF you can get much better performance with other hand-held antennas.)
The limiting factor is the self-resonant frequency of the loop, which takes into account the
self-capacitance between the windings. You can't resonate a loop conveniently above the
self-resonant frequency. This coil calculator gives you that information:
http://hamwaves.com/antennas/inductance.htmlI have a loop with 3 turns about 8" diameter that tunes 6 - 15 MHz or so with a mica
trimmer. The coupling loop is about half the diameter of the tuned loop - I did use a
shield loop, but I'm not sure it actually makes a lot of difference. In this case I used
#12 solid wire and just drilled 3 holes in one end of a 1x2 and 4 some distance further
down, when threaded the wire through the holes to make the loop. The wire is stiff
enough that I don't need a crossbar.
The diameter of the coupling loop to the main loop diameter for a 50 ohm match depends
on the number of turns in the main loop. The 1/5 rule is for a single turn loop. 1/2 seemed
to work fairly well for a 3-turn loop. I also make 80m loops with 4 turns of wire inside a
piece of plastic tubing or hose that is bent into a circle: in that case I make the coupling
loop the same size and run it through the same tubing, even though it may not give a
prefect match to 50 ohms. This design has higher self-capacitance, however, because
the wires are close together inside the tubing, and a 6" loop won't go much above 40m.
For operation on the higher bands, I'd leave off the big variable capacitor and just use the
smaller one.
Loops don't pick up as much signal as a larger antenna: for hand-held 80m receivers I usually
incorporate a cascode amplifier stage using a pair of bipolar transistors. FETs are often used
with high impedance loops. In this case the amplifier is designed for 50 ohm output and the
input is designed to match the loop, which need not be 50 ohms. (The last such 80m loop antenna
I built was only about 4 1/2" diameter. It - and the receiver it is attached to - appeared in the
latest issue of CQ magazine.)