Microwave beam facility at EML-1

What if you put microwave facility at the L1 Lagrange point?   Would the microwave beam make it all the way down to the lunar surface?

If so, it may be better to put it at the Lagrange point than on the surface.  From EML-1, you could have your microwave propulsion system power a lander/launcher reusable vehicle.  Such a setup would save a lot of trouble as you would not have to install it at the bottom of a gravity well.  Perhaps the entire thing could be setup with a few Falcon Heavy launches.

The concept could be tested in LEO.  If you wanted to install a LOXLEO device so as to harvest atmospheric gases at the edge of space, this type of system could power it as a proof of concept.

That means a LOXLEO system using a propulsion system like this could help with the propellant needed so as to get you to the moon.  And a similar propulsion system could help you land on it.

At the end of the installation of both, you would not have to launch much, if any, propellant from the Earth.  This would simplify a more ambitious undertaking, such as a trip to Mars, or to an asteroid.