Reduction or annihilation of aberrations of an optical system by balancing ghost-imaging technique and optimal imaging of a pure weak phase object

It is shown, using ghost-imaging techniques, that it is possible to reduce or even to annihilate the influence of aberrations connected with an arbitrary optical system. To this end, we consider a ghost-imaging setup, which consists of two arms, each containing an optical system. The reduction cancellation of the aberrations of the total imaging system is achieved by manipulating the values of the aberrations in one arm of the optical system. The technique is then applied for the optimal reconstruction of a weak phase object, manipulating the values of the defocusing such that the "Scherzer defocus condition" is obtained.