Signal processing method of a laser synthetic wavelength interferometer

Yan, Liping; Chen, Benyong; Li, Dacheng; Li, Chaorong; Tang, W.H.

doi:10.1088/0957-0233/21/1/015106

Cited by 18 publications

(5 citation statements)

References 22 publications

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“…Given the frequencies of a sinusoidal signal are 1 MHz, 10 MHz and 25 MHz, sampled at 100 MHz, then the calculated standard deviations from (6) of the computed zero-crossing time are 0.5 ps, 45.0 ps and 280.2 ps, respectively. Numerical simulations give close results of 0.5 ps, 46.6 ps and 325.2 ps, respectively 4 . Figure 5 shows the statistical distributions of the measurement errors.…”

Section: Linear Interpolationmentioning

confidence: 75%

“…Recovering signal parameters from zero-crossing information is a frequent task in many fields of science and engineering . Specific applications include-but are not limited to-spectrum analysis and image reconstruction [1,2], laser wavelength measurement [3,4] and laser instability evaluation [5], determination of object positions and measurement of gas refractive indices [6], power and industrial electronics [7][8][9][10][11][12][13] and absolute gravimetry [18][19][20][21][22][23][24][25].…”

Section: Introductionmentioning

confidence: 99%

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Accuracy assessment of the two-sample zero-crossing detection in a sinusoidal signal

Svitlov¹,

Rothleitner

Wang

2012

Metrologia

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The accuracy of a two-sample zero-crossing detection method is assessed by analytical uncertainty propagation and is verified in numerical simulations. Approximated expressions are given to evaluate uncertainty components due to linear interpolation, quantization, white noise and time jitter. The combined standard uncertainty of a detected zero phase is expressed as a function of the signal frequency, power of external noise and parameters of the digitizer used. The evaluation of the uncertainty of the measurand, derived from several detected zero-crossings, is illustrated with applications in frequency, displacement and free-fall acceleration measurements. The reported results can be used for uncertainty analysis and parameter optimization of a measurement system or a procedure, involving processing of sinusoidal signals.

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Section: Linear Interpolationmentioning

confidence: 75%

Section: Introductionmentioning

confidence: 99%

Accuracy assessment of the two-sample zero-crossing detection in a sinusoidal signal

Svitlov¹,

Rothleitner

Wang

2012

Metrologia

View full text Add to dashboard Cite

show abstract

“…The sample numbers n 1 , N r+ , N r− , N m+ and N m− between the zero-crossing points (A, B, C and D) of the two modulated AC signals v r (t) and v m (t) were determined and recorded, and the phase difference Δϕ was obtained by using equations ( 11)-( 14) according to the proposed signal processing method. Secondly, the EOM stopped modulating, and M 2 was moved a measured displacement Δl; the integer fringe number N was counted according to the sampled analog voltage values of v r (t) and v m (t) [26].…”

Section: Displacement Measurement Experimentsmentioning

confidence: 99%

Phase-modulated dual-homodyne interferometer without periodic nonlinearity

Yan¹,

Chen²,

Chen³

et al. 2017

Meas. Sci. Technol.

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A novel dual-homodyne interferometer, in which one interferometer acts as the reference interferometer and the other as the measurement one, is proposed to eliminate periodic nonlinearity for nanometer displacement measurement. By using one electro-optic phase modulator to modulate the common reference arm of the two interferometers, the DC interference signals of homodyne interferometers are modulated to AC signals. The measured displacement is carried on the phase difference change of the two AC interference signals. To address the influence of unequal fluctuations of the DC offsets of interference signals on the zero-crossing phase detection, a new phase difference detection method is proposed by counting the sample numbers in positive and negative half periods of interference signals. The merits of this interferometer are not only eliminating the nonlinear errors inherent to heterodyne and homodyne interferometers but also having the abilities of strong anti-interference, insensitivity to laser power drift and the unequal gain of detectors, as well as not demanding quadrature signals. An experiment of nanometer displacement measurement was performed to verify the feasibility of the interferometer, and the results show that sub-nanometer accuracy can be realized without periodic nonlinearity. The large displacement experiment shows that the results obtained with the proposed interferometer are in good accordance with those obtained from a comparison interferometer. These results show that the proposed interferometer can realize large displacement measurement with nanometer accuracy.

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“…According to the displacement measuring method of LSWI that we have presented in previous works [19,20], by moving M 1 to keep the phase difference Δφ between two interference signals λ 1 and λ 2 to a constant value (such as Δφ = 0) before and after the movement of M 2 , a smaller measured displacement Δl of M 2 (less than λ 2 /2) in the measurement arm can be characterized by a larger displacement ΔL of M 1 in the reference arm, which is expressed as:…”

Section: Measurement Principlementioning

confidence: 99%

Measurement of air refractive index fluctuation based on a laser synthetic wavelength interferometer

Yan¹,

Chen²,

Zhang³

et al. 2014

Meas. Sci. Technol.

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A novel method for measuring air refractive index fluctuation based on a laser synthetic wavelength interferometer is proposed. The change of air refractive index is regarded as an equivalent measured displacement in the measurement arm, which can be realized by tracking a large compensative displacement of the reference mirror in the reference arm of the laser synthetic wavelength interferometer. The merit of the proposed method is that the slight air refractive index fluctuation is magnified to a large displacement on the order of millimeters or micrometers. To verify the feasibility of the proposed method, the correlation experiment between the displacement of the reference mirror and the air refractive index fluctuation and the comparison experiments with Edlén equations both in short time and long time were performed. Experimental results show that the measurement accuracy of the air refractive index fluctuation is better than 3.7 × 10–8.

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Signal processing method of a laser synthetic wavelength interferometer

Cited by 18 publications

References 22 publications

Accuracy assessment of the two-sample zero-crossing detection in a sinusoidal signal

Accuracy assessment of the two-sample zero-crossing detection in a sinusoidal signal

Phase-modulated dual-homodyne interferometer without periodic nonlinearity

Measurement of air refractive index fluctuation based on a laser synthetic wavelength interferometer

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