Dynamic absolute distance measurement by frequency sweeping interferometry based Doppler beat frequency tracking model

Jia, Xingyu; Liu, Zhigang; Deng, Zhongwen; Deng, Wen; Wang, Zhiyong; Zhen, Zhilong

doi:10.1016/j.optcom.2018.08.013

Cited by 31 publications

(14 citation statements)

References 30 publications

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“…The general case of the multi-parameter measurement is shown in Figure 3. We assumed that the center of the rotor locates at the origin o (0, 0, 0) of the Cartesian coordinate system xyz, and that However, if the target moves during the frequency sweep, due to the Doppler effect, the phase ψ(t) in Equation (1) becomes [24] (note that, Jia et al [24] gives the instantaneous frequency of the FSI signal, which equals dψ(t)/(2πdt))…”

Section: Multi-parameter Measurement Methods For the Rotormentioning

confidence: 99%

“…Thus, using the phase ψ(t) of the measured s(t), the L0 can be determined as (dψ(t)/dt)•Tc/(4πB). However, if the target moves during the frequency sweep, due to the Doppler effect, the phase ψ(t) in Equation (1) becomes [24] (note that, Jia et al [24] gives the instantaneous frequency of the FSI signal, which equals dψ(t)/(2πdt)) ( ) ( ) ( ) ( )…”

Section: The Basics Of Fsimentioning

confidence: 99%

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Multi-Parameter Measurement of Rotors Using the Doppler Effect of Frequency-Swept Interferometry

Shao

Wei

Zhang

et al. 2020

Sensors

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The Doppler effect of frequency-swept interferometry (FSI) is often seen as an obstacle to the dynamic ranging accuracy. However, the potential of this obstacle is rarely noticed and used. In this paper, by combining the periodical characteristics of the rotational Doppler effect, an FSI-based multi-parameter measurement method for the rotor is proposed. Through the establishment of the rotational Doppler formula of FSI, it is found that the frequency, direct component, and amplitude of the dynamic distance given by FSI can be utilized to estimate the angular velocity, axial clearance, and tilt angle of the rotor, respectively. A rotor platform and a fiber-optic FSI system were constructed, and a series of experiments were carried out to verify the proposed method. The experimental results showed that the relative errors of the measured axial clearance, angular velocity, and tilt angle were less than 3.5%. This work provides a new perspective on the multi-parameter measurement of the rotor and makes it possible to directly perform multi-parameter measurement inside the space-confined rotating machinery as only a single small-size fiber-optic probe is needed.

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Section: Multi-parameter Measurement Methods For the Rotormentioning

confidence: 99%

Section: The Basics Of Fsimentioning

confidence: 99%

Multi-Parameter Measurement of Rotors Using the Doppler Effect of Frequency-Swept Interferometry

Shao

Wei

Zhang

et al. 2020

Sensors

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“…Many implemented interferometers are based on Bragg gratings, optic fiber, mirrors, crystals, and their combinations [1][2][3][4][5]. Interferometers find practical applications for physical parameter measurements, such as temperature, strain, humidity, pressure, level, current, voltage, and vibration [6][7][8][9][10]. When used for measurement, any interferometer suffers the modification of its optical path difference (OPD) due to external perturbations where the OPD parameter is the relative path difference (or phase shift) traveled between two light beams emitted from two coherent sources.…”

Section: Introductionmentioning

confidence: 99%

Low-Finesse Fabry–Pérot Interferometers Applied in the Study of the Relation between the Optical Path Difference and Poles Location

Bonilla

Guillén-Bonilla

Betancourtt

et al. 2020

Sensors

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Interferometry sensors are frequently analyzed by applying the Fourier transform because the transformation separates all frequency components of its signal, making its study on a complex plane feasible. In this work, we study the relation between the optical path difference (OPD) and poles location theoretically and experimentally, using the Laplace transform and a pole-zero map. Theory and experiments are in concordance. For our study, only the cosine function was considered, which is filtered from the interference pattern. In experimental work, two unperturbed low-finesse Fabry–Pérot interferometers were used. First, a Fabry–Pérot interferometer that has a cavity length of ~ 1.6 mm was used. Its optical path difference was 2.33 mm and the poles were localized at points ± i 12 . rad/nm. Secondly, a Fabry–Pérot interferometer with a cavity length of ~ 5.2 mm was used, and its optical path difference was 7.59 mm and the poles were localized at points ± i 40.4 rad/nm. Experimental results confirmed the theoretical analysis. Our proposal finds practical application for interferometer analysis, signal processing of optical fiber sensors, communication system analysis, and multiplexing systems based on interferometers.

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“…Many coherence interferometers systems find practical applications for the physical parameter measurement, such as are temperature, strain, humidity, pressure, level, current, voltage, and vibration [1][2][3][4][5][6][7][8][9][10]. Physical implementation and signal demodulation are very important for the good measurement.…”

Section: Introductionmentioning

confidence: 99%

Interference Pattern Representation on the Complex s-Plane

Bonilla¹,

Bonilla²,

García-Ramírez³

et al. 2020

Advances in Complex Analysis and Applications

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In this work, the normalized interference pattern produced by a coherence interferometer system was represented as a complex function. The Laplace transform was applied for the transformation. Poles and zeros were determined from this complex function, and then, its pole-zero map and its Bode diagram were proposed. Both graphical representations were implemented numerically. From our numerical results, pole location and zero location depend on the optical path difference (OPD), while the Bode diagram gives us information about the OPD parameter. Based on the results obtained from the graphical representations, the coherence interferometer systems, the low-coherence interferometer systems, the interferometric sensing systems, and the fiber optic sensors can be analyze on the complex s-plane.

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Dynamic absolute distance measurement by frequency sweeping interferometry based Doppler beat frequency tracking model

Cited by 31 publications

References 30 publications

Multi-Parameter Measurement of Rotors Using the Doppler Effect of Frequency-Swept Interferometry

Multi-Parameter Measurement of Rotors Using the Doppler Effect of Frequency-Swept Interferometry

Low-Finesse Fabry–Pérot Interferometers Applied in the Study of the Relation between the Optical Path Difference and Poles Location

Interference Pattern Representation on the Complex s-Plane

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