On the Investigation of the Reducction of Phase Singularities in Speckles Interferometry

Summary: In this thesis, the following conclusions are confirmed:

1. The number of phase singularities reduction was achieved due to the incoherent averaging of the speckle fields using an extended light source in Michelson interferometer. Those phase singularities are undefined phase points that join together creating phase edges, preventing successful unwrapping for the required phase map. The reduction mechanism shows an interesting complexity. To investigate that complexity, a hybrid setup between Michelson and Mach-Zehnder is built in order to separate the reference arm from the object arm that allows enlarging the speckles size without affecting any required reference points.

2. The experiment has confirmed the simulation results, that there are two main effects of the reduction mechanism:

-The speckle get smaller proportional of the adding of different incoherent point sources, which in effect reduces the number of averaged phase edges and phase singularities.

-The speckles structure get more ordered, that seems to raise the probability of two phase edges to be at the same location in the phase maps before and after deformation measurements, which as a result, reduces the phase singularities drastically at the attained phase deformation measurements.