We present studies of the magnetic field distribution around the vortices in LuNi 2 B 2 C. Small-angle neutron scattering measurements of the vortex lattice ͑VL͒ in this material were extended to unprecedentedly large values of the scattering vector q, obtained both by using high magnetic fields to decrease the VL spacing and by using higher order reflections. A square VL, oriented with the nearest-neighbor direction along the crystalline ͓110͔ direction, was observed up to the highest measured field. The first-order VL form factor, ͉F͑q 10 ͉͒, was found to decrease exponentially with increasing magnetic field. Measurements of the higher-order form factors, ͉F͑q hk ͉͒, reveal a significant in-plane anisotropy and also allow for a real-space reconstruction of the VL field distribution.
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