Multiple phase estimation in digital holographic interferometry using product cubic phase function

•In DHI, interference field is modeled as multicomponent quadratic phase signal.•The quadratic coefficient estimation is obtained using product cubic phase function.•Multiple interference phase estimation is obtained using a single fringe pattern.

Digital holographic interferometry (DHI) involves multi-directional illumination of an object to measure the in-plane and out-of plane displacements simultaneously. This results in multiple interference phases which have to be reliably estimated. The paper proposes a method where the interference field is represented as sum of multicomponent quadratic phase signal. Subsequently, product cubic phase function (PCPF) is used to estimate the quadratic coefficients. Using these coefficients multiple interference phases are estimated. The applicability of this method in DHI is demonstrated with simulation results.