how hot is a laser cutter beam?
And when I say magnifying glass I meant using a giant frens lense
Overall my goal is to carve into metal, stone or brick.
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A laser beam travelling through air isn't hot. Heat is caused by the dissipation of the energy in the beam when it hits an object.
You can use a large FRESNEL LENS from a projection TV to focus the sun onto a spot to achieve very high temperatures,
Another way is to build a solar furnace - not necessarily as big as THIS ONE using mirrors to concentrate sunlight from a large area onto one spot.
If you look at the YouTube videos, some of those show a lens like that melting coins and burning holes in the concrete underneath.
( Please use welding goggles ).
A Fresnel lens is made by removing the uneeded part of a ordinary heavy
lens, that I could not lift leaving the working surface of a lens with a thin profile.
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