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Fundamental limits on the digital phase measurement method based on cross-correlation analysis

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4 Author(s)
Liang, Yu-Rong ; MOE Key Laboratory of Fundamental Physical Quantities Measurement, School of Physics, Huazhong University of Science and Technology, 1037 Luo Yu Road, Wuhan 430074, People''s Republic of China ; Duan, Hui-Zong ; Yeh, Hsien-Chi ; Luo, Jun

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Ultra-precision phase measurement is a key technology for state-of-the-art laser interferometry. In this paper we present a fully digital phase measurement method based on cross-correlation analysis, and analyze the measurement errors caused by sampling quantization, intrinsic white noise and non-integral-cycle sampling. The last error source results in a cyclic error that has not been reported ever. We used a high-performance data acquisition system to carry out the cross-correlation-based phase measurement, and obtained a noise level of 1.2 × 10-6 rad/Hz1/2@1 Hz. Moreover, the cyclic phase error of about 10-2 rad/Hz1/2, caused by non-integral-cycle sampling, had been observed. In order to demonstrate the application of this precision phase measurement method, an ultra-precision heterodyne laser interferometer, consisting of digital phase measurement system and ultra-stable optical bench, was constructed for displacement measurement. The experimental results showed that a measurement resolution of 63 pm had been achieved.

Published in:

Review of Scientific Instruments  (Volume:83 ,  Issue: 9 )

Date of Publication:

Sep 2012

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