Rotational Doppler Effect in Vortex Light and Its Applications for Detection of the Rotational Motion

Cheng, Tian-Yu; Wang, Wenyue; Li, Jin-Song; Guo, Ji-Xiang; Liu, Shuo; Lü, Jia-Qi

doi:10.3390/photonics9070441

Cited by 15 publications

(7 citation statements)

References 54 publications

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“…It simultaneously estimates amplitude and phase errors in the range frequency domain based on dominant point targets selected in the preliminarily focused image. Reference [16] proposes the use of the linear Doppler effect to detect the translational motion of objects and provides a detailed description of the properties and analysis methods of rotational Doppler shift when the vortex beams are misaligned with the rotation axis.…”

Section: Related Workmentioning

confidence: 99%

Optimizing Accumulator Performance in Hydraulic Systems through Support Vector Regression and Rotational Factors

Xu,

Zhou,

Chen

et al. 2024

Processes

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The piston-type accumulator is an energy storage device in hydraulic–pneumatic systems, playing a significant role in industries such as petrochemicals, heavy machinery, and steel metallurgy. The displacement parameters of the piston-type accumulator are vitally important for fault diagnosis and early warning in hydraulic systems. Traditional displacement measurement methods cannot meet the requirements of the internal testing environment of the accumulator. Therefore, this paper proposes an accumulator piston displacement signal compensation method based on rotational factors and support vector regression. Firstly, empirical mode decomposition is utilized to denoise the signal. Then, rotational factors are used to generate a delay compensation module to compensate for the signal attenuation and time delay caused by metallic reflection and scattering within the cylinder of the radar signal. The support vector regression model is improved based on a hash table to enhance its computational efficiency and achieve radar displacement signal compensation. Finally, a simulation experiment is designed to verify the effectiveness of the proposed method.

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Section: Related Workmentioning

confidence: 99%

Optimizing Accumulator Performance in Hydraulic Systems through Support Vector Regression and Rotational Factors

Xu,

Zhou,

Chen

et al. 2024

Processes

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“…[85,86] Actually, as the authors have shown, it is only a matter of modal decomposition of the incident beam into a LG beam basis attached to the rotating object. [38,[87][88][89] Let us for example consider the case of a misalignment, where the center of the incoming beam is shifted by a distance d regarded to the rotation axis. The decomposition into a LG basis can be performed rather easily and evaluated numerically.…”

Section: Beam Axis and Rotation Axis That Don't Coincidementioning

confidence: 99%

Rotational Doppler Effect: A Review

Emile,

Emile

2023

Annalen der Physik

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Generally, the linear motion between the source of a wave and an observer leads to a linear Doppler effect. It is associated with the linear momentum of the wave. For electromagnetic beams having a circular polarization or an azimuthal phase distribution, the rotation between the source and the observer results in a less well‐known rotational Doppler effect. It is associated with the angular momentum of the wave. This is particularly the case for vortex beams. Here, the various physical insights that are given to explain the origin of the rotational Doppler effect is reviewed. The focus is on different cases where such an effect gives information on the rotational nature of the probed systems, and also on cases where the rotational Doppler effect is useless. Still debated issues and possible applications are then presented.

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“…The topological nature of the screw WF dislocation opens impressive possibilities for the data encoding and the information transfer [49][50][51]. The specific pattern of the transverse energy flows is responsible for another interesting phenomenon-rotational Doppler effect [52][53][54][55][56][57][58][59]. Indeed, the visible phase of the azimuthal harmonic (3) depends on the mutual angular positions of an observer and the beam with respect to the axis z (see Figure 1A).…”

Section: Screw Wavefront Dislocations Also Known As Optical Vorticesmentioning

confidence: 99%

“…As a result, when the beam (or observer) rotates with the angular velocity Ω, the visible frequency changes by Δω lΩ. This effect finds fruitful applications for the spectral analysis of light beams and the distant detection of the rotational motion of various objects [55, 58, 59], which are described in detail by recent reviews [59,60]. For this reason, we do not dwell further upon the rotational Doppler shifts but proceed to some impressive non-linear effects involving the optical singularities.…”

Section: Screw Wavefront Dislocations Also Known As Optical Vorticesmentioning

confidence: 99%

Optical phase singularities: Physical nature, manifestations and applications

Angelsky

Bekshaev²,

Vasnetsov³

et al. 2022

Front. Phys.

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Over the past 30 years, physical optics has been enriched by the appearance of singular optics as a new branch approved in scientific classifiers. This review briefly outlines the main concepts of the singular optics, their role in physical research and applications, and prospects of further development. The wave singularities are considered as a sort of structured-light elements and analyzed based on the generic example of screw wavefront dislocation (optical vortex). Their specific topological and mechanical properties associated with the transverse energy circulation are discussed. Peculiar features of the non-linear optical phenomena with singular fields are exhibited, with the special attention to generation of multidimensional entangled quantum states of photons. Optical fields with multiple singularities, especially, the stochastic speckle fields, are discussed in the context of optical diagnostics of random scattering objects. The exact and approximate correspondences between characteristic parameters of the optical-field intensity and phase distributions are analyzed with the aim of recovering phase information from the intensity measurements (“phase problem” solution). Rational singularity-based approaches to informative measurements of the scattered-field distribution are discussed, as well as their employment for the objects’ diagnostics. In particular, the practical instruments are described for the high-precision rough-surface testing. Possible enhancements of the singular-optics ideas and concepts in a wider context, including the transformation optics, near-field optics (surface waves), partially-coherent fields, and wave fields of other physical nature, are briefly exposed.

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Rotational Doppler Effect in Vortex Light and Its Applications for Detection of the Rotational Motion

Cited by 15 publications

References 54 publications

Optimizing Accumulator Performance in Hydraulic Systems through Support Vector Regression and Rotational Factors

Optimizing Accumulator Performance in Hydraulic Systems through Support Vector Regression and Rotational Factors

Rotational Doppler Effect: A Review

Optical phase singularities: Physical nature, manifestations and applications

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