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A novel multiple-reflection interferometer is developed for the accurate measurement of sinusoidal vibration amplitudes, and its characteristics are analyzed theoretically and experimentally. The multiple-reflection system employs a right-angle prism and a convex lens, which is located in the probe beam path of a Michelson interferometer. The performance of the multiple reflection interferometer as a function of reflection number was assessed at the vibration frequency of 1250 Hz using Bessel function null method. © 2000 American Institute of Physics.