Phase Retardation Measurement of Wave plates Based on the Self-Calibration Method

2012 ◽  
Vol 39 (4) ◽  
pp. 0408007
Author(s):  
侯俊峰 Hou Junfeng ◽  
于佳 Yu Jia ◽  
王东光 Wang Dongguang ◽  
邓元勇 Deng Yuanyong ◽  
张志勇 Zhang Zhiyong ◽  
...  
2008 ◽  
Vol 55 (2) ◽  
pp. 115-124
Author(s):  
Andrzej Szymański ◽  
Ewa Kurjata-Pfitzner ◽  
Jan Lesiński ◽  
Jerzy Wąsowski

2017 ◽  
Vol 870 ◽  
pp. 135-140
Author(s):  
Yong Meng Liu ◽  
Ze Lin Li ◽  
De Hao Du ◽  
Mao Qiang Yuan ◽  
Jing Zhi Huang ◽  
...  

A self-calibration method of coupling error is presented for 3-DOF displacement measurement of a planar moving stage based on two planar gratings. The self-calibration method using Fourier series is developed to extract the periodic systematic errors from the coupling errors. The extracted periodic systematic errors are compensated. Experiments are conducted to validate the validity of the self-calibration method and experimental results indicate that the coupling errors in x and y directions are reduced by 2 and 1.5 times respectively. It can be therefore concluded that the self-calibration method is suitable for the 3-DOF displacement measurement of a planar moving stage to improve the positioning accuracy.


ACTA IMEKO ◽  
2014 ◽  
Vol 2 (2) ◽  
pp. 3 ◽  
Author(s):  
Trung Tran Nguyen ◽  
Arvid Amthor ◽  
Christoph Ament

This paper presents a Monte Carlo simulation of the self-calibration method for the multi laser tracker system (MLTS) which can track a retroreflector mounted on a kinematical system (e.g. positioning stage, robot manipulator etc.). Four laser trackers build up the MLTS. In the first part of the study the required algorithms enabling the MLTS to measure the position of the retroreflector are presented. The algorithms include the localization of the retroreflector, the communication between the laser trackers and the tracking controller as well as the calculation of the Tool Centre Point (TCP) position. In the second part of this study a deeper analysis of the self-calibration algorithm is carried out. A Monte Carlo simulation shows that the quality of the parameter estimation highly depends on the optimal arrangement of the MTLS.


2007 ◽  
Vol 04 (02) ◽  
pp. 127-140
Author(s):  
YOUFU WU ◽  
MO DAI

One of the challenging problems of 3D Euclidean reconstruction is that only the hypothesis of intrinsic parameters can be used to retrieve the camera parameters. In this paper, we proposed a method to find out the intrinsic parameters of a camera using the rank constraint of the relation matrix of absolute conic Ω. Simultaneously, analyzed the degeneration of self-calibration. The experimental results showed that the self-calibration method of camera is better than the other methods.


2019 ◽  
Vol 9 (17) ◽  
pp. 3485 ◽  
Author(s):  
Zekui Lv ◽  
Zhikun Su ◽  
Dong Zhang ◽  
Lingyu Gao ◽  
Zhiming Yang ◽  
...  

The elliptical paraboloid array plays an important role in precision measurement, astronomical telescopes, and communication systems. The calibration of the vertex distance of elliptical paraboloids is of great significance to precise 2D displacement measurement. However, there are some difficulties in determining the vertex position with contact measurement. In this study, an elliptical paraboloid array and an optical slope sensor for displacement measurement were designed and analyzed. Meanwhile, considering the geometrical relationship and relative angle between elliptical paraboloids, a non-contact self-calibration method for the vertex distance of the elliptical paraboloid array was proposed. The proposed self-calibration method was verified by a series of experiments with a high repeatability, within 3   μ m in the X direction and within 1   μ m in the Y direction. Through calibration, the displacement measurement system error was reduced from 100   μ m to 3   μ m . The self-calibration method of the elliptical paraboloid array has great potential in the displacement measurement field, with a simple principle and high precision.


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