Wavefield Reconstruction and Design as Discrete Inverse Problems

A novel discrete model for the wavefield propagation is proposed. This model is accurate for a pixel-wise constant object distribution, i.e. for a object distribution which is piece-wise invariant on rectangular elements of pixel's size of a digital hologram CCD sensor. We apply this model for two different inverse problems: reconstruction of an object complex-valued distribution from holographic data and design of a digital hologram giving a desirable distribution as result of the wavefield propagation. The efficiency and advantage of the developed algorithm are demonstrated.