Fast and accurate carrier and aberration removal in phase retrieval for off-axis holography

An efficient method to remove carrier and aberration during phase processing from off-axis holography is proposed using a specimen-free hologram (SFH). One modulated carrier hologram (MCH) and one SFH are firstly encoded into a synthetic hologram. The synthetic hologram is then Fourier transformed, and the two cross-correlation orders can be obtained from its spectrum using two band pass filters. After implementing inverse Fourier transform, we can achieve the results containing phase distribution, carrier information, and aberration phase both of MCH and SFH. Through a division operation, the expected phase distribution can be retrieved without the information of carrier error and aberration. Simulations and experiments are carried out to demonstrate the validity of the method. Both results demonstrate that the new method can provide an accurate reconstruction with a superior retrieval speed.