Evaluation of the estimation accuracy of polarization-based roll angle measurement

Plosker, Effie; Bykhovsky, Dima; Arnon, Shlomi

doi:10.1364/ao.52.005158

Cited by 6 publications

(4 citation statements)

References 9 publications

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“…The practical fluctuation is also much greater. That is because the beam intensity is reduced in the diffraction of the AOM, and it results in a decrease of photocurrent, which is more susceptible to noise and decreases the measurement accuracy [24]. Accordingly, the phase shift varies more randomly and the practical time difference ∆ t would be larger than the aforementioned estimated value of 100 ns.…”

Section: Experiments and Discussionmentioning

confidence: 99%

Modeling and Analysis of Phase Fluctuation in a High-Precision Roll Angle Measurement Based on a Heterodyne Interferometer

Zhao

Gao

2016

Sensors

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Heterodyne interferometry is a high-precision method applied in roll angle measurements. Phase metering is essential for high precision. During a high-precision measurement, a phase fluctuation appears even when the roll angle does not vary, which has never been analyzed before. Herein, the reason for the phase fluctuation is revealed, which results from the frequency-difference fluctuation and time difference between measurement and reference beams. A mathematical model of that phase-fluctuation mechanism is established, and that model provides a theoretical basis for analyzing and reducing the phase fluctuation. The impact that the main factors have on the phase metering is analyzed quantitatively, and experiments are carried out to validate the model. Finally, the phase fluctuation decreases to 0.02° by frequency reduction, which conversely verifies the theoretical model.

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Section: Experiments and Discussionmentioning

confidence: 99%

Modeling and Analysis of Phase Fluctuation in a High-Precision Roll Angle Measurement Based on a Heterodyne Interferometer

Zhao

Gao

2016

Sensors

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“…The angle at which the energy passed by it recovers its initial maximum value is the roll angle. This method requires a high uniformity of the polarimeter, and the RMS error is better than 5" [10]. The self-collimating method is used to convert the roll angle into other two-dimensional angular deformations [11], [12].…”

Section: Introductionmentioning

confidence: 99%

Design of a Roll Angle Measuring Sensor

et al. 2020

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Aiming at the measurement of roll deformation between two devices, we propose a novel scheme and elaborate the structure design in this paper. The scheme can realize the relative measurement of roll angle even if the system does not provide a reference datum, which effectively solves the problems of limited measurement range of moiré fringes and accuracy guarantee only in an extremely small angle range. First, the principle of measuring the roll angle by moiré fringes is introduced, and the effects of various error sources in the system are comprehensively considered. Then, the combined measurement scheme and the entire system composition structure are analyzed in detail. In addition, an experimental setup is designed to verify the accuracy of roll deformation measurement. The measurement results show that the root mean square (RMS) error can reach 6.9" within 3°, and is less than 7.8" in the range of 0°-90°. Hence, our proposed scheme has a good measurement stability in a large roll range. INDEX TERMS Roll angle, measurement sensor, system structure design, error analysis, moiré fringe.

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“…Since the polarization change can be calculated, the roll angle of the interrogated object can be calculated. Following this theory, we proposed a mathematical model for the accuracy of the measurement of the roll angle based on maximum likelihood estimators for the first and the second moments in our previous work [7].…”

Section: Introductionmentioning

confidence: 99%

Statistics of remote roll angle measurement

Plosker

Arnon

2014

Appl. Opt.

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Remote measurement of object orientation is used in various scientific fields, such as robotics, optics, and biology (e.g., optical tweezers). Roll angle is one of the three angles that describe the orientation of an object in space. A common method to measure the roll angle is based on analyzing the polarization of the backreflection of a beam. The accuracy of the measurement is degraded by low signal-to-noise ratio (SNR). The low SNR is the result of the large distance between the measurement device and the object, or due to the small backreflection cross section. We perform a laboratory experiment and derive a mathematical model for the probability density function of the measured roll angle and its expectation value. This model makes it possible to calculate the accuracy of the roll angle measurement at low SNRs. Experiments and theoretical analysis using our model were performed and good agreement between the two approaches has been found.

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Evaluation of the estimation accuracy of polarization-based roll angle measurement

Cited by 6 publications

References 9 publications

Modeling and Analysis of Phase Fluctuation in a High-Precision Roll Angle Measurement Based on a Heterodyne Interferometer

Modeling and Analysis of Phase Fluctuation in a High-Precision Roll Angle Measurement Based on a Heterodyne Interferometer

Design of a Roll Angle Measuring Sensor

Statistics of remote roll angle measurement

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