  The current ghost imaging phase reconstruction schemes require either complex
optical systems, Fourier transform steps, or iterative algorithms, which may
increase the difficulty of system design, cause phase retrieval error or take
too much time. To address this problem, we propose a five-step phase-shifting
method in which no complex optical systems, Fourier transform steps, or
iterative algorithms are needed. With five designed incoherent sources, one can
obtain five different corresponding ghost imaging patterns, then the phase
information of the object can be calculated from those five speckle patterns.
The applicability of this theoretical proposal is demonstrated via numerical
simulations with two kinds of complicated objects, and the results illustrate
the phase information of the complicated object can be reconstructed
successfully and quantitatively.
