▎ 摘　　要

Thickness measurement plays an important role for characterizing optomechanical behaviors of graphene. From the view of graphene-based Fabry-Perot (F-P) sensors, a simple, nondestructive and in situ method of determining the thickness of nanothick graphene membranes was demonstrated by using optical fiber F-P interference. Few-layer/ multilayer graphene sheets were suspendedly adhered onto the endface of a ferrule with a 125 ae m inner diameter by van der Waals interactions to construct micro F-P cavities. Along with the Fresnel's law and complex index of refraction of the membrane working as a light reflector of an F-P interferometer, the optical reflectivity of graphene was modeled to investigate the effects of light wavelength and temperature. Then the average thickness of graphene membranes were extracted by F-P interference demodulation, and yielded a very strong cross-correlation coefficient of 99.95% with the experimental results observed by Raman spectrum and atomic force microscope. The method could be further extended for determining the number of layers of other 2D materials.