Lunar Solar Satellites at L1

> >From what I've been able to gather, on Earth the rectenna farm for a
>
> SPS would be about 10 kilometers in diameter, more if it is situated
> at a higher latitude.
>
> My assumption is that it must be this size because we want to limit
> the microwave power density, and thus are optimizing rectenna size
> to power density. If we had a "Death Ray" beam dense with microwave
> we could do with a smaller rectenna. Is this correct? Of course, I
> understand why we don't want a powerful beam.
>

Partially true. Another point is that having a low concentration
beam allows the use of a relatively small transmitting antenna.
Getting a tighter beam involes launching a bigger antenna.

>
> If my assumption is correct in that beam strength can be multiplied,
> then would it be possible to have multiple Lunar Solar Satellites
> supporting the mining and launching operations on the moon, and have
> ALL of the LSS beaming down to one rectenna farm on the moon.
>

I am sorry, I do not follow this at all.

Why have multiple lunar satellites ? One not just one big one ?

>
> Anybody have any indormation on the limits of power density that a
> rectenna farm can absorb, or do you really need a 10 km diamter farm
> PER 5 GW satellite?
>

No hard data. Note that as the power density increases, the waste heat
per unit area will increase, so the rectenna will run at higher
temperatures. Heat rejection on the Moon is a difficult problem, and
this would make it more difficult.
If the rectenna gets too hot the conversion elements will burn out.