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A new numerically and experimentally tested measurement method for the localelectrical light field including its phase is presented. The method is based onSelf Referencing Interferograms (SRI) such as shearing interferograms. Thecomplex electric field is the solution vector of a linear equation with thepixel resolved interference term E_2* E_1 as a parameter. Linearization of thenon linear equations is achieved by using preknowledge in the intensity asobtained by a conventional image detetctor. The resulting linear equations arenot based on any approximation, iterative perturbation expansion etc. but areexact. The method is non iterative and stable against noise for arbitrarilychosen test fields. Allowed fields can exhibit highly fluctuatingamplitudes/phases on the pixel scale, areas of vanishing amplitude and Pi phasejumps. The spatial resolution is of pixel size. No reference beam and nodiaphragms are used. The new method can be implemented as a fast, one shot perframe video system. An outlook on the space resolved measurement of nonclassical two photon states (including vacuum squeezed coherent states) isgiven.

Unbiased (reference-free) phase field imaging for general optical fields including phase discontinuities