Method for the material-removing laser machining of a workpiece

A method for material removal laser machining of a workpiece under use of a laser processing machine having a laser creating laser beam impulses, having a laser head that directs the laser beam impulses of the laser on the workpiece and having a machine axis arrangement comprising at least one machine axis that is configured to position and/or move the workpiece and the laser head in at least one translatory and/or rotatory degree of freedom relative to each other, comprising the following steps:

• emitting multiple laser beam impulses by means of the laser head on a surface of a volume to be removed of the workpiece, wherein material is removed from the volume to be removed of the workpiece and thus a contour surface to be created is created on the workpiece,
• adjusting an impact angle of the laser beam impulses relative to the contour surface to be created at a border location at which the contour surface to be created directly adjoins the volume to be removed such that the impact angle is at most as large as a threshold angle and is at least as large as a minimum angle, wherein the minimum angle is larger than 0 degrees and the threshold angle is equal to an amount of the impact angle at which an effective laser energy density at an impact location of the laser beam impulses on the contour surface to be created of the workpiece corresponds to a threshold fluence, wherein an effective laser energy density that is larger than the threshold fluence effectuates a material removal at the impact location and an effective laser energy density that is smaller than the threshold fluence does not effectuate material removal at the impact location, wherein a desired geometry of the contour surface to be created at the border location that directly adjoins an uppermost layer of a volume to be removed is used as a parameter for determination of the impact angle so that only volume elements of the volume to be removed and that projects beyond the desired geometry of the contour surface are effectively removed.