  Lateral Josephson junctions (LJJ) made of two superconducting Nb electrodes
coupled by Cu-film are applied to quantify the stray magnetic field of
Co-coated cantilevers used in Magnetic Force Microscopy (MFM). The interaction
of the magnetic cantilever with LJJ is reflected in the electronic response of
LJJ as well as in the phase shift of cantilever oscillations, simultaneously
measured. The phenomenon is theorized and used to establish the spatial map of
the stray field. Based on our findings, we suggest integrating LJJs directly on
the tips of cantilevers and using them as nano-sensors of local magnetic fields
in Scanning Probe Microscopes. Such probes are less invasive than conventional
magnetic MFM cantilevers and simpler to realize than SQUID-on-tip sensors.
