We formulate a framework for the depolarization of linearly polarized backscattered light based on the concept of geometric phase, i.e Berry's phase. The predictions of this theory are applied to the patterns formed by backscattered light between crossed or parallel polarizers. This theory should be particularly adapted to the situation in which polarized light is scattered many times but predominantly in the forward direction. We apply these ideas to the patterns which we obtained experimentally with backscattered polarized light from a colloidal suspension.
PACS numbers:The transport of light through human tissues is one of the most promising technique to detect in a noninvasive way for instance breast cancer. For medical imaging applications, it is important to extract the information contained not only in the intensity but also in the polarization of backscattered light. This is not easy in general due to the complexity of vector-wave multiple scattering. In this paper we study a simple experiment, in which polarized light is backscattered from a diffuse medium. In these conditions, one observes between crossed polarizers a fourfold symmetry pattern which was first interpreted qualitatively by Dogariu and Asakura [1]. Recently more quantitative approaches have been developed for Mie scatterers using Mueller matrices [2]. A rather good agreement has been found between the experimental shapes of the patterns and the theoretically predicted ones [2,3,4].