Methods of separating a glass web

A method of separating a glass web comprising the steps of:

• (I) moving the glass web at a glass web velocity including a glass web velocity vector in a conveyance direction of the moving glass web;
• (II) exposing a separation path on the glass web to at least one laser beam spot to produce thermal stress along the separation path by reflecting at least one laser beam off a first reflective surface rotating about a first axis, the separation path extending in a direction transverse to the conveyance direction;
• (III) moving the laser beam spot at a laser beam spot velocity including a laser beam spot velocity vector in the conveyance direction that is equal to the glass web velocity vector by reflecting the at least one laser beam off a second reflective surface rotating about a second axis, wherein the separation path continues to be exposed to the laser beam spot to continue producing thermal stress along the separation path while the glass web moves at the glass web velocity;
• and
• (IV) creating a defect on the separation path while the separation path is under thermal stress produced during steps (II) and (III), whereupon the glass web separates along the separation path in response to creating the defect.