Phase recovery for electron holography using Gerchberg–Papoulis iterative algorithm

The Gerchberg–Papoulis (GP) iterative algorithm is applied to electron holographic reconstruction to supplement the Fourier-transform method. The GP algorithm can recover the phase to high accuracy using simulated holograms. This method is useful when a region of known amplitude is present, such as a region of vacuum or uniform thickness. Modulations of the phase on the order of 0.1 rad can be corrected significantly using this algorithm.