Digital wavefield reconstruction in phase-shifting holography as inverse discrete problem

A novel discrete model for the wavefield propagation is proposed. This model is accurate (and aliasing free) for a pixel-wise constant object distribution which is invariant on rectangular elements of pixel´s size of a digital hologram CCD sensor. The sizes of object and sensor arrays can be different. A spacial light modulator (SLM) is a good example of the object where a pixel-wise invariant distribution appears. We consider reconstruction of the object complex-valued distribution from the phase-shifting holography data as an inverse discrete problem. The reconstruction becomes more accurate when the sensor size is larger than the size of the object aperture. An efficient frequency domain algorithm is demonstrated.