Structure Design and Image Reconstruction of Hexagonal-Array Photonics Integrated Interference Imaging System

The photonics integrated interference imaging technique has attracted intensive attention because of its superior imaging performance and structural compactness. Traditional architecture designs of the photonics integrated interference imaging systems are of radial patterns and rectangular patterns. Due to their large lens intervals, the resulting frequency distributions are insufficient to satisfy the Nyquist sampling conditions. In this article, a new structural type of hexagonal arrays is designed, which has a dense lens distribution. Two paring methods are developed for the radial baselines and lateral baselines, and they can be selected according to the actual frequency bands of interest. The imaging performance of different arrays is analyzed, and the hexagonal array is proved superior over the radial pattern and rectangular pattern in terms of point spread functions. A reconstruction algorithm based on the compressed sensing theory is proposed to restore salient features from insufficiently sampled signals. A measurement matrix is set in accordance with the structural design to avoid data regridding. Experimental results demonstrate that the imaging resolution is improved remarkably with respect to the original images.