Time-averaged interference fringe analysis: A quantitative study of nanomembrane vibration dynamics

In this work, we present a method for characterizing nano/micro membrane resonators through the analysis of averaged interference fringes obtained from continuous light measurements. As the membrane vibrates, the interference fringes display blurring and contrast reduction, from which we establish a direct relationship between the vibration amplitude and the blurred area. This method offers a fast and straightforward approach to characterizing membrane vibrations and determining the dispersion relationship. Additionally, it enables the simultaneous extraction of multiple vibrational modes, providing mode numbers and phase differences that can be used to reconstruct dynamic vibration profiles. Its efficiency and broad frequency range make it particularly well-suited for high-frequency applications and rapid data collection. • Time-averaged interference fringes enable full-field vibration analysis of membranes. • Quantifies vibration amplitude using fringe blurring, contrast changes, and phase jumps. • Operates across a wide frequency range with rapid data acquisition. • Extracts multiple vibrational modes and phase differences simultaneously. • Applicable to sensor technologies and nano/micro-scale resonator research.