A method for making shaped cooling holes in a substrate by pulsing and stopping a laser while moving the laser or substrate. The method produces shaped cooling holes with a bore angled relative to an exit surface of the combustor liner. One end of the bore is an inlet formed in an inlet surface of the combustor liner. The other end of the bore is an outlet formed in the exit surface of the combustor liner. The outlet has a shaped portion that expands in only one dimension.