  This paper is devoted to the uniqueness of inverse acoustic scattering
problems with the modulus of near-field data. By utilizing the superpositions
of point sources as the incident waves, we rigorously prove that the phaseless
near-fields collected on an admissible surface can uniquely determine the
location and shape of the obstacle as well as its boundary condition and the
refractive index of a medium inclusion, respectively. We also establish the
uniqueness in determining a locally rough surface from the phaseless near-field
data due to superpositions of point sources. These are novel uniqueness results
in inverse scattering with phaseless near-field data.
