The model of partially coherent annular beams with linear non-uniformity field profile in the x direction is set up. The analytic expressions for the average intensity and the centre of gravity of partially coherent annular beams with decentered field propagating through atmospheric turbulence along a slant path are derived. The propagation equation governing the position of the intensity maximum is also given. It is found that the beam non-uniformity is amended gradually as the propagation distance and the strength of turbulence increase. The centre of beam gravity is independent of both the propagation distance and the turbulence. However, the position of the intensity maximum changes versus the propagation distance and the turbulence, and is farthest away from the propagation z-axis at a certain propagation distance. When the propagation distance is large enough, the position of the intensity maximum reaches an asymptotic value which increases with decreasing the zenith angle and is largest for the free space case. When the propagation distance is large enough, the position of the intensity maximum is not on the propagation z-axis, and is nearer to the propagation z-axis than the centre of beam gravity. On the other hand, changes in the intensity maximum in the far field are also examined in this paper.

Ghost imaging is a promising technique for shape reconstruction using two spatially correlated beams: one beam interacts with a target and is collected with a bucket detector, and the other beam is measured with a pixelated detector. However, orthodox ghost imaging always provides unsatisfactory results for unstained samples, phase objects, or highly transparent objects. Here we present a dark-field ghost imaging technique that can work well for these “bad” targets. The only difference from orthodox ghost imaging is that the bucket signals rule out the target’s unscattered beam. As experimental proof, we demonstrate images of fine copper wires, quartz fibers, scratched and damaged glass plates, a pure phase object, and biospecimens.

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