I. Introduction
Fiber sensors for vibration signal measurement have aroused wide attention in the application of structure health monitoring, oil and gas exploration, cross-hole seismic and micro-seismic fracture detection, etc. Fiber optic accelerometer based on different principle types have been proposed, such as modal interferometer [1], fiber laser accelerometers [2], polarization-interference-based fiber vibration sensor [3], Fabry-Perot accelerometer [4], Michelson interferometer [5], title fiber grating accelerometer [6], etc. Compared with other fiber optic accelerometers, FBG accelerometers are more dominant for FBG’s unique advantages of multiplexing capability, good linearity and wavelength demodulation [7]. Recently, Many achievements have been made in the research of one-dimensional acceleration sensors. A FBG accelerometer based on a compliant cylinder was proposed [8]. A flat frequency range from 30 to 300 Hz was obtained, and the corresponding sensitivity is 42.7 pm/G. Weng et al. [9] reported a FBG accelerometer composing of a flat diaphragm and a U-shaped rigid cantilever beam. Its sensitivity was up to 100 pm/G and the frequency response ranging from 10 to 120 Hz. Dai et.al. [10] proposed a medium-high frequency FBG accelerometer with integrative matrix structure. Its sensitivity is 200 pm/G and an eigen frequency larger than 3000Hz can be realized separately, but the sensitivity and natural frequency can not reach the maximum value at the same time. Zhang et al. [11] designed a flextensional FBG-based accelerometer with natural frequency of 16.7 Hz and sensitivity of 410.7 pm/G. Li et al. [12] demonstrated an FBG accelerometer by fixing the FBG on transversely moving inertial object, whose sensitivity was 0.634 nm/G and the resonant frequency was about 25 Hz. Liu et al. [13] proposed a FBG accelerometer based on diaphragm with sensitivity of 36.6 pm/G and a frequency range of 10–200 Hz.