Constrained reconstruction of complex waveforms
Jules S. Jaffe, R. Fricke · Journal of the Optical Society of America A · 1987
We consider the reconstruction of the complex transmission coefficients of screens from their projected wave fields. The technique that we use in order to recover the screen complex transmission coefficient is to solve iteratively a system of linear equations that relate the screen to the observed data. We are interested in the special case in which we have detailed a priori knowledge about the distance of the object. In this instance we constrain the solution such that the reconstructed screen conforms to a real positive function. We explicitly formulate the wave equation and demonstrate that a substantial increase in noise immunity and/or resolution enhancement of the recovered function obtainable by using this method.