Pixel super-resolved holography with complementary patterns

Digital holography (DH) is a dependable method for observing micro-nano structures and 3D distribution by combining amplitude and phase information. In recent years, pixel super-resolved (PSR) technique improves the SBP of holography. By introducing measurement diversity, PSR phase retrieval approaches are able to solve low-resolution issues due to limited sensor pixels. However, in the existing wavefront modulation PSR technique, dozens or even hundreds of randomly generated phase masks are usually required, resulting in time-consuming measurement and reconstruction. Reducing the amount of data can save time, but lead to poor accuracy and noise robustness. In this paper, we propose a novel PSR holography method with complementary patterns. Specifically, we use a pair of patterns that are exactly complementary in value, while others are randomly generated 0-1 phase patterns. Using this pair, the integrity of the target information contained is guaranteed in the diffraction intensity data set. In addition, the method can effectively improve resolution with limited data, speeding up the measurement and reconstruction process. A series of simulations demonstrate the effectiveness of complementary patterns, achieving more than a 3 dB enhancement in PSNR index compared with the random phase patterns.