A Method for Roll-Angle Measurement in Multi-Degree-of-Freedom Measuring System

Rui, 曹睿 Cao; Bin, 张斌 Zhang; Qibo, 冯其波 Feng; Hengchu, 方恒楚 Fang; Fengling, 由凤玲 You

doi:10.3788/aos20082812.2344

Cited by 5 publications

(6 citation statements)

References 0 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Consequently, these two equations are transformed to ∂u (x, y) ∂x ≈ 0, (8) and ∂u (x, y) ∂y ≈ −∆θ. (9) Equations ( 8) and ( 9) reveal that the distribution of the inplane displacement u (x, y) along the x direction remains the same but along the y direction it is varied linearly when the roll angle has a certain value. This conclusion shows that the formed pattern on the interferogram or phase maps is a set of parallel straight fringes along the x direction while the illu minations are in the xoz plane.…”

Section: Analysis Of Fringe Formationmentioning

confidence: 99%

“…Considering the roll angle to be tested is very small in the field of precision machining, equation ( 10) can be simplified as equation (9). The principle error due to this simplification is represented by…”

Section: Mathematical Modelmentioning

confidence: 99%

“…Considering the deformation is even along the x direction but varied linearly along the y direction, the differential of deformation can be replaced by the difference of deformation. This is realized by performing a definite integral on equa tion (9) along the y direction between two measuring points. As a result, the measurement model can be expressed by…”

Section: Mathematical Modelmentioning

confidence: 99%

“…The method of optical geometry also tends to result in lowaccuracy measurement due to its measuring principle and the sensitivity to the beam drift caused by air disturbance and laser source. With this method, various reflective components, including a mirror [7,8], corner cube retroreflector [9][10][11], rightangle prism [12], and grating [13], are installed in the objects to sense the roll displacement. The basic work principle is same or similar to the principle of an autocollimator.…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Precision roll angle measurement based on digital speckle pattern interferometry

Yang

et al. 2019

Meas. Sci. Technol.

View full text Add to dashboard Cite

An approach to precise measurement of small roll angle based on digital speckle pattern interferometry (DSPI) is introduced. A simple relationship between the roll angle and interferometric phase distribution is established by analyzing the mechanism of fringe formation in the process of roll detection using a dual-beam DSPI, and reasonable approximate processing. The presented method enjoys some important advantages, such as being free of a cooperative target and a very high measurement resolution. In our experiments, a measurement resolution of 1 µrad, which can compete with the best resolution of the existing methods, is achieved. Theoretically, the measurement resolution can even be improved to tens of nano-radians at the cost of increasing the size of the measuring device. The performance of the method is also demonstrated by a comparison experiment.

show abstract

Section: Analysis Of Fringe Formationmentioning

confidence: 99%

Section: Mathematical Modelmentioning

confidence: 99%

Section: Mathematical Modelmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Precision roll angle measurement based on digital speckle pattern interferometry

Yang

et al. 2019

Meas. Sci. Technol.

View full text Add to dashboard Cite

show abstract

“…The JCM describes many purely quantum mechanical phenomena such as Rabi oscillations, collapses and revivals of the atomic inversion or sub-Poissonian photon statistics and many nonclassical properties. Squeezing effects are purely a nonclassical phenomenon, which has been predicted and observed [6][7][8][9][10][11][12] . This phenomenon has attracted considerable attention due to its many applications such as gravity wave detection, high-resolution spectroscopy, quantum nondemolition experiments and optical communication networks.…”

Section: Introductionmentioning

confidence: 99%

Photon higher-order squeezing effects of theqanalogue of a single-mode field interacting with a Ξ-type three-level atom

et al. 2009

View full text Add to dashboard Cite

The nonlinear theory of interaction between the q analogue of a single-mode field and a Ξ-type three-level atom has been established. And the formal solution of the Schrödinger equation in the representation and its average number are obtained. Then, the photon squeezing effects are studied through numerical calculation. The results show that the q deformation nonlinear action has a lot of influence on the quantum coherence and quantum properties. When q approaches 1, the theory reduces to the common linear theory.

show abstract