Engraved cylinder

Engraved cylinder

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Hello,

 
I would like to know if it would be possible to laser cut/engraving on a wooden cylinder.
The engraving wouldn’t need to be on the same deepness on the surface of the cylinder (see sketch attached).
The wooden cylinder is 45 mm diameter and 400-500mm long. The deepness of the engraving should be between 0 and 5 mm.
 
Thanking you in advance for your answer,
Amandine