1. Materials-processing applications fall into specific domains when placed in a map of power at the workpiece vs. the beam quality, or beam parameter product (BPP). For the 1060- to 1080-nm range, BBP is approximately found from the conventional M2 beam-quality parameter by multiplying by 0.3 (a diffraction-limited 1-æm-emitting laser will have M2=1 and BPP = 0.3 mm-mrad). This map assumes that the laser beam is focused on the workpiece with an f/4 optic. Laser sources are also shown as points; all applications lying above and to the left of a source’’s BPP and power values can be addressed by that source.