Improved phase reconstruction using linear programming for dual-wavelength digital holography

Incorporating the advantages of the differential synthetic-wavelength and the additive synthetic-wavelength, we improve the linear programming algorithm for the phase reconstruction of dual-wavelength digital holography. Under the designated two dimensional boundary conditions, the improved linear programming algorithm is employed to search the optimal integer pair for the two aforementioned wavelengths. The convergence is determined by the square of height difference, in which the heights are obtained with the two aforementioned wavelengths, respectively. In comparison with other state-of-the-art approaches, our approach is straightforward to create phase unwrapping with similar or even better reconstruction quality. Both the numerical and experimental results were conducted to prove the feasibility and effectiveness of our approach.