Super-resolution using Barker-based array projected via spatial light modulator

The use of a two-dimensional Barker-based array in the conventional time multiplexing super-resolution (TMSR) technique was recently presented [Opt. Lett.40, 163-165 (2015)OPLEDP0146-959210.1364/OL.40.000163]. It enables achieving a two-dimensional SR image using only a one-dimensional scan, by exploiting its unique auto-correlation property. In this Letter, we refine the method using a mismatched array for the decoding process. The cross-correlation between the Barker-based array and the mismatched array has a perfect peak-to-sidelobes ratio, making it ideal for the SR process. Also, we propose the projection of this array onto the object using a phase-only spatial light modulator. Projecting the array eliminates the need for printing it, mechanically shifting it, and having a direct contact with the object, which is not feasible in many imaging applications. 13 phase masks, which generate shifted Barker-based arrays, were designed using a revised Gerchberg-Saxton algorithm. A sequence of 13 low resolution images were captured using these phase masks, and were decoded using the mismatched arrays, resulting in a high-resolution image. The proposed mismatched array and the design process of the phase masks are presented, and the method is validated by a laboratory experiment.