Sensor device for monitoring a laser machining operation to be performed on a work piece (12), in particular for carrying out a method according to any of the preceding claims, with:
- a local-resolution receiver assembly (10, 11, 14) with which an area in the region of the interaction zone can be selected as a field of observation (13) so that the receiver assembly delivers an electrical output signal corresponding to the detected radiation from the field of observation (13), and
- a signal processing circuit (16) which processes the output signal of the receiver assembly after suitable filtering in order to detect faults during the laser machining operation.