Laser processing device and method that stores characterization information representing specifics of a specific laser used for processing a material and forms a model to control the laser based on the laser performance specifics. This control sets a spacing between leading edges of sequential pulses of optical energy output by the laser, that when output by the laser, creates a laser power output with a consistent amount of pulse overlap between the sequential pulses, e.g., 50% overlap. This control is specific to the specific laser and creates a very consistent processing using the laser, e.g., a cut.