Abstract
<jats:p>Pixelated polarization cameras enable single-shot spatial synchronous phase shifting, providing a powerful tool for dynamic interferometric measurement. However, the pixelated polarization phase-shifting (PPPS) technique requires continuous complex amplitude of laser light across 2×2 super-pixel units, a prerequisite that collapses for speckle interferometry. To resolve this intrinsic incompatibility, we investigate the quantitative speckle diameter matching criteria via aperture diffraction for PPPS speckle interferometry. Based on Abbe’s imaging theory, we model the formation process of subjective speckle as dual Fourier transformations, where the aperture diaphragm functions as a spatial low-pass filter to suppress inter-pixel intensity and phase discontinuities. Numerical simulations verify that speckle diameters spanning 6 to 12 pixels yield the optimal phase reconstruction accuracy. Dynamic full-field deformation tests on a peripherally clamped piezoelectric disk oscillating at 0.1 Hz further validate the efficacy of this speckle diameter optimization criterion.</jats:p>