Abstract

A lower limit—the Cramér–Rao bound—on the variance of frequency scanning interferometry (FSI) distance measurements in the presence of noise is presented. We show that, with a suitable analysis method, the variance of experimental measurements almost reaches this limit. In particular, the variance of results with a simple analysis method was 1.54 times the limit over a range of signal-to-noise ratios. This bound aids the understanding of FSI distance measurement uncertainty, and provides a benchmark against which to compare FSI analysis algorithms.

High-precision absolute distance and vibration measurement with frequency scanned interferometry

Hai-Jun Yang, Jason Deibel, Sven Nyberg, and Keith Riles
Appl. Opt. 44(19) 3937-3944 (2005)

Multi-channel absolute distance measurement system with sub ppm-accuracy and 20 m range using frequency scanning interferometry and gas absorption cells

John Dale, Ben Hughes, Andrew J. Lancaster, Andrew J. Lewis, Armin J. H. Reichold, and Matthew S. Warden
Opt. Express 22(20) 24869-24893 (2014)

Fast algorithm based on the Hilbert transform for high-speed absolute distance measurement using a frequency scanning interferometry method

Xiuming Li, Fajie Duan, Xiao Fu, Ruijia Bao, Jiajia Jiang, and Cong Zhang
Appl. Opt. 61(11) 3150-3155 (2022)

Precision improvement in frequency scanning interferometry based on suppression of the magnification effect

Yue Shang, Jiarui Lin, Linghui Yang, Yang Liu, Tengfei Wu, Qiang Zhou, and Jigui Zhu
Opt. Express 28(4) 5822-5834 (2020)

Absolute distance measurement system with micron-grade measurement uncertainty and 24 m range using frequency scanning interferometry with compensation of environmental vibration

Cheng Lu, Guodong Liu, Bingguo Liu, Fengdong Chen, and Yu Gan
Opt. Express 24(26) 30215-30224 (2016)