Ghost imaging and its visibility with partially coherent elliptical Gaussian Schell-model beams

• We studied the ghost image and visibility with partially coherent EGSM beams.
• We derived the condition under which the goal ghost image is achievable.
• The visibility is assessed in terms of the parameters related to the source.
• The source sizes and coherence lengths play role in the ghost image and visibility.

The performances of the ghost image and the visibility with partially coherent elliptical Gaussian Schell-model beams have been studied. In that case we have derived the condition under which the goal ghost image is achievable. Furthermore, the visibility is assessed in terms of the parameters related to the source to find that the visibility reduces with the increase of the beam size, while it is a monotonic increasing function of the transverse coherence length. More specifically, it is found that the inequalities of the source sizes in x and y directions, as well as the transverse coherence lengths, play an important role in the ghost image and the visibility.