I have cut Perspex, the snag is it melts. The tool stops cutting, tries to melt it's way through, fails miserably and then breaks. To cut it I had to use flood coolant but this is way too big for the mill and flood coolant isn't usually an option on a router. 2mm is awful tiny, no flute depth to clear the swarf and if the swarf can't clear it's like a super muscular boy scout rubbing two firelighters together :D

You could laser it but that makes a horrible smell, abrasive water jet could be the best option.

Someone will now chime in and say how they cut Perspex nil problemo but it isn't me