This paper concerns the superposition of twodimensional semi-analytical models to model three-dimensional shielding configurations. The 2-D semi-analytical models are used to describe the effect of magnetic shielding on the stray field of a single-sided coreless linear permanent magnet motor. The modeling results are compared to 3-D finite element analysis and to measurements. It is found that an accurate description of the tendencies and the order of magnitude is given. Furthermore, the comparison of the superposition of 2-D semi-analytical models with the measurements shows that saturation and neglecting the 3-D effects cause the deviation between model and measurement.