Experimental Characterizing The Complex Light Scattering Properties of Finite Objects By Mutual Scattering

Modern techniques to control light scattering, like wavefront shaping (WFS), rely on the interference of scattered waves[1], [2]. In WFS, the intensity of light is optimized, which is proportional to the absolute square of the scattering amplitude,
$\vert f(\hat{k}_{2},\hat{k}_{1})\vert ^{2}$
. Fully characterizing the scattering properties of any object requires the scattering amplitude of light
$f(\hat{k}_{2},\hat{k}_{1})$
, that is a complex function of incident waves with direction
$\hat{k}_{in}$
and scattered waves with direction
$\hat{k}_{out}$
,. Since the information is embedded in the complex properties of the scattering amplitude, intensity-based WFS is not developed to its full potential.