It's not cheap, and you'll need some nice deep cycle batteries too
like so:
http://www.dse.co.nz/cgi-bin/dse.storefron...n/product/O3254
Just think, the solar panel maximum power output is 40W, you put that into a battery at 12V, that's 3.3AHrs per hour of sunlight.
Which means, when running off the battery something drawing 1A at 12V will last 3.3 hours before the battery is flat.
This isn't taking into account loses due to cabling/storing energy etc.
Assuming that your AP draws 20V and 1A all the time 480W of energy a day to power the thing. I think there's only 4 hours of direct sunlight a day (I could be wrong), unless you get a solar panel that can follow the sun, thus you'd need a solar panel that could generate 120W of power, running for 4 hours.
Thus you'd need 1 of these:
http://www.dse.co.nz/cgi-bin/dse.storefron...n/product/O3036
and a 24 volt deep cycle battery, or a bank of batteries
I'm no expert on solar energy or anything, I'm just working things out from the info given to me. It may be easier to run a power cable to the AP