Leveraging the depolarization of scattered light for holography with the Stokes correlation.

The article presents a novel correlation holography (CH) technique for quantitative phase imaging (QPI) using scattered depolarized light, exploiting higher-order Stokes parameter correlations. This method combines two-point correlations of the second Stokes parameter (S2) with a two-step phase-shifting approach in an in-line, lensless geometry to recover the complex Fourier coefficient (CFC), enabling reconstruction of complex-valued objects from random scattered light where conventional holography fails. Theoretical development, numerical simulations, and experimental demonstrations with phase objects such as vortex beams and patterned letters validate the technique's capability to extract amplitude and phase information through scattering media. This approach offers potential applications in imaging through random scattering environments by leveraging polarization fluctuations in intensity correlations.