Experimental evaluation of a 3D wavelet-based phase recovery method in temporal speckle pattern interferometry

We test the performance of a phase recovery method based on a three-dimensional directional wavelet transform applied to the intensity signal measured by temporal speckle pattern interferometry (TSPI). We present and discuss several sources of uncertainty by analyzing experimental datasets recorded for an in-plane interferometer without introducing a temporal carrier. The dynamic phase data measured with the proposed method are compared with those obtained from the well-known one-dimensional Fourier transform phase recovery technique. In the Fourier method, the filtered Fourier transform for each intensity pixel is evaluated along the temporal direction. In contrast, the three-dimensional directional wavelet transform method uses the information of adjacent pixels and then increases the performance of the recovered dynamic phase results. The advantages and limitations of the three-dimensional directional wavelet transform approach are discussed, and a summary of conclusions from the analysis of TSPI data is also given.