Combining ptychographical algorithms with the Hybrid Input-Output (HIO) algorithm

this article we combine the well-known Ptychographical Iterative Engine (PIE) with the Hybrid Input Output (HIO) algorithm. The important insight is that the HIO feedback function should be kept strictly separate from the reconstructed object, which is done by introducing a separate feedback function per probe position. We have also combined HIO with floating PIE (fPIE) and extended PIE (ePIE). Simulations indicate that the combined algorithm performs significantly better in many situations. Although we have limited our research to a combination with HIO, the same insight can be used to combine ptychographical algorithms with any phase retrieval algorithm that uses a feedback function. (C) 2016 The Authors. Published by Elsevier B.V.