I joined Physics Forum (at your suggestion) because I need some "fact checking" on my optical designs for the transmitter and the receiver that I will use to demonstrate a "proof of concept" for amateur radio optical EME communications. So far, all I have received is "can't be done" responses from first responders who haven't bothered to visit and read what I am proposing. If you would like to participate in this quest, I would appreciate it. If not, please visit
https://optical-eme.groups.io anyway and tell what you think.
It is very old technology, or at least the theory is. Claude Shannon, working for AT&T IIRC, developed information theory and the relationship between data rate, bandwidth, signal-to-noise ratio, and error-free communications. After the first trans-Atlantic telephone cable was laid, they found out that distributed inductance and distributed capacitance determined the effective bandwidth of signals propagating on the cable. Shannon provided the theory, but it wasn't until this century that it became affordable for amateur radio communications.
Here it is in a nutshell: if you add
a priori known information to a signal, that signal can be recovered without error. It doesn't matter what the signal-to-noise ratio of the comm channel is because that just affects how long it takes the recover the "message" which is repeated as often as necessary until the noise integrates to zero and the message rises above the noise.
Unfortunately, the signal loss for EME comms is huge. That didn't stop wealthy hams with deep pockets from building Yagi-Uda directional arrays, or microwave dish antennas, on alt-az mounts and "shooting the Moon" with kilowatt transmitters and Collins rigs in the 1950s. Fast forward a few years and another ham used Shannon's theories to invent Weak Signal digital communication techniques. That is now used by hams worldwide for VHF, UHF, and microwave EME communications. A forum is available:
https://wsjtgroup.groups.io.