Abstract
Primary angular vibration calibration devices based on laser interferometers play a crucial role in evaluating the dynamic performance of inertial sensing devices. Here, we propose a sinusoidal phase-modulated angle interferometer (SPMAI) to realize angular vibration measurements over a frequency range of 1–1000 Hz, in which the sinusoidal measurement retro-reflector (SMR) and the phase generation carrier (PGC) demodulation algorithm are adopted to track the dynamic angle variation. A comprehensive theoretical analysis is presented to reveal the relationship between demodulation performance of the SPMAI and several factors, such as phase modulation depth, carrier phase delay and sampling frequency. Both the simulated and experimental results demonstrate that the proposed SPMAI can achieve an angular vibration measurement with amplitude of sub-arcsecond under given parameters. Using the proposed SPMAI, the frequency bandwidth of an interferometric fiber-optic gyroscope (IFOG) is successfully determined to be 848 Hz.
Highlights
In 2012, Physikalisch-Technische Bundesanstalt (PTB) and Korea Research Institute of Standards and Science (KRISS) carried out the bilateral comparison in primary angular vibration calibrations by using two angular accelerators and the measured expanded uncertainty values within the angular vibration frequency range of 1 Hz–1000 Hz were presented [5]
The relationship which are related to visibility of the measurement interference signals; c and fc denote the between the rotary angle ∆θ and ∆ls and ∆lp can be written as phase modulation depth and frequency, respectively; ∆ls and ∆lp, respectively, denote the optical path variation of the s-measurement beam (MB) and polarized MB (p-MB) as the the relationship ls
From Equations (9) and (10), that the demodulation results cannot be influenced by the laser intensity disturbance; the existence of the modulation depth deviation and carrier phase delay would result in a demodulation error
Summary
The Changcheng Institute of Metrology and Measurement of China (CIMM) established a primary angular vibration calibration system based on a heterodyne interferometer and column grating and achieved an amplitude uncertainty of better than 1% over a frequency range of 0.1–200 Hz [3]. The Korea Research Institute of Standards and Science (KRISS) fabricated an angle-prism-based laser interferometer and its measurement uncertainty has been analyzed [4]. The optical composition of the SPMI is based on a conventional homodyne laser interferometer, the fabrication of which costs far less than that of a heterodyne laser interferometer. To widen the applications of SPMIs, a sinusoidal measurement retro-reflector (SMR) is adopted, forming a novel sinusoidal phase-modulated angle interferometer (SPMAI). With the help of a high-frequency angular vibration exciter, the SPMAI is used to measure angular vibrations within the frequency range of 1–1000 Hz and determine the frequency bandwidth of an IFOG
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