Phase retrieval in speckle pattern interferometry under vibrational environments

This study proposes an in-plane vibration compensation method based on the amplitude correlation coefficient to suppress decorrelation noise in speckle pattern interferometry under vibrational environments. A combination of collimated illumination and telecentric imaging is employed to eliminate decorrelation due to illumination and observation angle variations during object translation. The spatial carrier method is utilized to extract complex amplitudes before and after deformation, and the amplitude correlation coefficient is calculated for accurate estimation of in-plane shift. Experiments using high-precision translation and rotation stages verify that the proposed method effectively compensates for speckle field shifts induced by vibrations, significantly enhancing fringe quality and reducing noise.