  Linear-dichroism is an important tool to characterize the transmission matrix
and determine the crystal or orbital orientation in a material. In order to
gain high resolution mapping of the transmission properties of such materials,
we introduce the linear-dichroism scattering model in ptychographic imaging,
and then develop an efficient two-stage reconstruction algorithm. Using
proposed algorithm, the dichroic transmission matrix without an analyzer can be
recovered by using ptychography measurements with as few as three different
polarization angles, with the help of an empty region to remove phase
ambiguities.
