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

This is the authors' abstract. We don't add key points for this paper.

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.