  Object-motion-based speckle correlation can recover hidden objects from any
inhomogeneous medium, which takes advantage of the inherent connection that the
cross-correlation between speckle patterns can reflect the autocorrelation of
object, providing a route for imaging through or inside thick scattering media.
However, once the object is phase-modulated, the above-mentioned relation will
not be satisfied under coherent illumination, and the objects cannot be
recovered using the existing approaches. Here, we propose an incoherent
illumination method for object-motion-based imaging. Theoretical analysis and
experimental results show that the cross-correlation between the
object-motion-based speckle patterns can be directly used to represent the
intensity autocorrelation of the object, making it possible to recover hidden
objects regardless of whether the object is phase-modulated or not. Moreover,
the proposed approach has a lower root-mean-square error for extracting the
autocorrelation patterns of the hidden object. The proposed imaging mechanism
blazes a way of imaging moving objects with scattering-induced or intrinsic
phase profile, which is in favor of complex imaging scenarios such as
inhomogeneous object imaging, deep tissue imaging, and passive lighting
scattering imaging.
