Totally possible to melt sand: checkout Markus Kayser's Solar Sinter Writeup and pictures: https://kayserworks.com/#/798817030644/ He uses a big fresnel lens though to catch as much sunlight as possible
Sounds fun. Would be interesting to see a diagram and the power numbers through the transmission system.
1) You need to change the "not" in your quote to "always"! 2) Have you done the refraction calculations to determine what kind of light paths you're going to see in this setup at various wavelengths? I'm not sure two very high refractivity elements are necessarily going to work the way you anticipate. 3) The number that's working against you is 1000W/m^2. There's a reason other sun-based projects use very large Fresnel lenses. 4) To actually maintain accuracy with the system (especially with potentially quite slow cutting speeds) do you have a plan in place for solar tracking?
@Rob Taylor right there is a lot to learn here! “I hate reality but it's still the best place to get a good steak.” woody @Daniel Stewart take some time to look though this read on building a solar printer. I think it will help you to dodge some of the difficulties from builds that have already taken place , and the lessons they learned from them. Put your vision to reality and lets see what comes to life! Hope it helps