  This paper is concerned with the uniqueness in inverse acoustic and
electromagnetic scattering with phaseless near-field data generated by
superpositions of two incident plane waves at a fixed frequency. It can be
proved that the unknown scatterer can be uniquely determined by the phaseless
near-field data. The proof is based on the analysis of the phase information
and the application of Rellich's lemma together with the Green's formula for
the radiating solutions to the Helmholtz equation or the Stratton--Chu formula
for the radiating solutions to the Maxwell equations.

Analysis of PDEs