  A new numerically and experimentally tested measurement method for the local
electrical light field including its phase is presented. The method is based on
Self Referencing Interferograms (SRI) such as shearing interferograms. The
complex electric field is the solution vector of a linear equation with the
pixel resolved interference term E_2* E_1 as a parameter. Linearization of the
non linear equations is achieved by using preknowledge in the intensity as
obtained by a conventional image detetctor. The resulting linear equations are
not based on any approximation, iterative perturbation expansion etc. but are
exact. The method is non iterative and stable against noise for arbitrarily
chosen test fields. Allowed fields can exhibit highly fluctuating
amplitudes/phases on the pixel scale, areas of vanishing amplitude and Pi phase
jumps. The spatial resolution is of pixel size. No reference beam and no
diaphragms are used. The new method can be implemented as a fast, one shot per
frame video system. An outlook on the space resolved measurement of non
classical two photon states (including vacuum squeezed coherent states) is
given.
