Reconstruction of two-dimensional complex amplitudes from intensity measurements

The amplitude and phase recovery of optical fields with tomographic methods employing Wigner- or Ambiguity functions (WD/AF) has been demonstrated extensively for the case of one-dimensional functions. For two-dimensional light distributions, the associated WD/AF is four-dimensional, posing several problems. In this paper we introduce a new concept, which allows to reconstruct arbitrary two-dimensional distributions using only one-dimensional measurements. We reconstruct one dimension (y) of the complesx light source for each position of the x-dimension. To this end, we realized a one-dimensional propagation operator. The corresponding optical setup for measurement is shown and experimental results are presented