We report on the origin of interference patterns at the edge of nanometer-scale Co protrusions observed by low-energy electron point source (LEEPS) microscopy. We find evidence that those interference patterns are due to the phase shift of a coherent electron beam by a localized magnetic field. Typical interference patterns have an apparent size of 10-100 nm and a star-like shape, which are dependent on the sharpness of the Co protrusion. After preparing a ferromagnetic nanoparticle in a saturation remanent state by applying a strong magnetic field, we observed the deflection of the interference pattern. This phenomenon is consistent with the theoretical prediction based on a magnetostatic model. The capability of mapping the local magnetic field suggests that LEEPS microscopy is potentially applicable as an imaging tool of magnetic field with nanometer-scale resolution. (C) 2001 American Institute of Physics.