Hybrid-index-based array configuration optimization for Michelson interferometric imaging.

Array configuration design is a critical issue for a high quality of the snapshot point spread function (PSF) and restored image in Michelson imaging interferometer. In classic design, the optimized configurations usually address the few specifications and single objective, which is unable to balance the requirements of both non-redundancy and sampling distribution. In this paper, we formalize mathematically the composite metric to trade-off the multiple demands of observation, and propose the hybrid-index-based array layout optimization strategy. The simulation results demonstrate that, in comparison with the typical distribution, the optimized array using the proposed optimization framework enables the acquisition of more comprehensive spectrum information while utilizing an equal number of apertures, providing superior imaging quality in different observation situations. Furthermore, the designed optimized array masks and the compared conventional array masks were fabricated and used for our experimental validation, further verifying the feasibility of this strategy. This array configuration optimization framework may not only find applications to Michelson interferometric imaging, but also provide a positive impact on all u-v sampling-based imaging modes, including radio interferometry, magnetic resonance imaging, and photonic integrated interferometric imaging.

Analytical target-agnostic piston sensing for segmented telescopes using sparse redundant baseline pairs.

Piston correction is the key to achieving high resolution of segmented telescopes. Phasing with extended objects is still challenging. In this Letter, we propose an analytical target-agnostic phasing approach using redundant baseline pairs. It is derived that the mixed phase distribution caused by redundant sampling can be decoupled via phase modulation. Then the pistons can be resolved by performing phase cross-correlation to remove the object phase. We validate this theory through simulations and experiments. It does not require additional optical paths and is relatively robust against noise, thus providing a simple, fast, and low-system-complexity solution for piston monitoring of the segmented telescope over the period of imaging complex scenes.