  We present the design of a highly compact High Field Scanning Probe
Microscope (HF-SPM) for operation at cryogenic temperatures in an extremely
high magnetic field, provided by a water-cooled Bitter magnet able to reach 38
T. The HF-SPM is 14 mm in diameter: an Attocube nano-positioner controls the
coarse approach of a piezo resistive AFM cantilever to a scanned sample. The
Bitter magnet constitutes an extreme environment for SPM due to the high level
of vibrational noise; the Bitter magnet noise at frequencies up to 300 kHz is
characterized and noise mitigation methods are described. The performance of
the HF-SPM is demonstrated by topographic imaging and noise measurements at up
to 30 T. Additionally, the use of the SPM as a three-dimensional dilatometer
for magnetostriction measurements is demonstrated via measurements on a
magnetically frustrated spinel sample.
