I am looking to transmit ELF through VLF using either just a +20dB signal generator or less than 10W amplifier over a distance of no more than 2 miles from a very small form factor. In the past, I have only worked with 3MHz - 50GHz and am new to the kHz range and below on how it can propagate over an antenna. The ELF and VLF transmitters I have found are facilities that can communicate around the globe, but I have found no one who talks about short range transmission with these bands. I have looked into electronically short waves and wave division but to transmit may not be possible at such a low power, especially over such a small profile?
We are testing a superconductor receiver that can see far below the noise floor so it's sensitivity is very high and the signal only needs to be seen, with a possibility of a signal carrying data. We can do inline all day, but need to test over the air from a distance which has yet to be determined but we are looking at a mile to two mile separation. Is this even possible in a small form factor (i.e.: handheld antenna to 30ft vertical) or will the wave dissipate very quickly over the air?