Sensing position is of fundamental relevance to production systems, which deal with the adjustment and control of shape and placement. An arrangement of 2, 4, or 8 optical fibers can be used to track the 1D-, 2D-or 3D-position of a light spot or optical emitter. Non-complex signal processing as well as far reaching independence of the measurement function from emitter intensity add to the attractiveness of our sensor design. This work will expand on the design's theoretical basis and will conclude with a simulation of the measurement error introduced by size and shape variations of the emitter. Such variations can occur when tracking curved surfaces or emitters of unknown shape such as the process radiation during laser machining.