  We discuss the inverse uniqueness problem in phaseless scattering by counting
the zeros of its modulus of the scattering amplitude. The phase linearization
of scattered wave field disturbs the originally uniform distribution of the
zero set. There is a connection between the perturbation of the index of
refraction and the zero distribution of the modulus. We conclude the inverse
uniqueness of the phaseless problem from the point of view of interior
transmission problem.
