Ghost imaging for a reflected object with a rough surface

Ghost imaging for the reflected object with rough surface is investigated. The surface height variance sigma(2)(h) and the correlation length l(c) have been introduced to characterize the rough surface. Based on a simple scattering model, we derive the analytical expressions which are used to describe the effects of sigma(2)(h) and l(c) on ghost imaging. The results show that both sigma(2)(h) and l(c) have no influence on the image resolution, while the convergence of the correlation decreases as sigma(2)(h) increases. Additionally, the bucket detector used in the test arm can dramatically improve the visibility of ghost images. The results are backed up by numerical simulations, in which a Monte Carlo approach to generate a rough surface has been used.