Controlling light propagation across scattering media by wavefront shaping
holds great promise for a wide range of communications and imaging
applications. However, finding the right wavefront to shape is a challenge when
the mapping between input and output scattered wavefronts (i.e. the
transmission matrix) is not known. Correlations in transmission matrices,
especially the so-called memory-effect, have been exploited to address this
limitation. However, the traditional memory-effect applies to thin scattering
layers at a distance from the target, which precludes its use within thick
scattering media, such as fog and biological tissue. Here, we theoretically
predict and experimentally verify new transmission matrix correlations within
thick anisotropically scattering media, with important implications for
biomedical imaging and adaptive optics.Comment: main article (18 pages) and appendices (6 pages