The mutual restriction relationship between the acceleration sensitivity and the resonant frequency blocked the
improvement of the performance of the common fiber optic F-P accelerometer. A new type of optic fiber accelerometer
based on the folding F-P cavity was introduced in this article. The phase changes caused by a certain acceleration signal
are amplified through the multiple reflections of the light in the F-P cavity. Since the optical structure has no effects on
the resonance frequency of the system, the acceleration sensitivity can be improved while the resonance frequency
remains unchanged. The theoretical sensitivity and resonant frequency are analyzed. A collimator lens with the gradient
index fiber is used to reduce the losses of the longitudinal displacement in the F-P cavity. The results show that the
improvement of the sensitivity is directly proportional to the times of reflections of the light in the cavity. The theoretical
sensitivity can reach 26~30dB 30dB while the resonant frequency of the accelerometer is kept at 800Hz
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