I need to look up how thick 1 oz copper is..can't recall.
Google tells me 1.4 mils.
Ok, so about 35um. I found some info on the web that shows direct milling of copper traces using a 40 watt fiber laser. Mine is only 10 watts average power but 5000 watt peak power pulses. If they can do it with 40 watts, I might be able to do it with 10 watts at a slower feedrate with a smaller spot. I would most likely want at least a 35um depth of focus to maintain the vaporization energy through the copper.
I am going to get a achromat doublet from Thorlabs to experiment with. It should give a significantly tighter spot than a single element plano-convex. I am not very comfortable picking optics, but I was thinking of going with the 1 inch diameter 40mm focal length cemented doublet. It has a destructive rating of 5J/cm^2 for a 10ns pulse...my little laser is well below that so I don't need the air spaced doublet with a 10J rating that is $525!
with a 6mm input beam and a 40mm focus, I should have a spot size of about 11um using a M^2 number for the fiber laser of 1.2.
The Rayleigh range I calculate with this, again using a M^2 of 1.2 would be 75um. Considering the copper is only 35um thick, this would indicate I would have consistent high power throughout the cut.
Now how much intensity do I have in a 11um spot? If the peak power in my 6mm diameter beam is 5000 watts then the intensity is 17,700 watts/cm^2. If I reduce the beam to 11um diameter, then I have increased the intensity by 545^2 or around 300,000 times. This gives me an intensity in the focused 11um spot of around 5.3 gigawatts/cm^2. Pretty bright.