2013
DOI: 10.1007/s12206-012-1217-6
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Multi-degree-of-freedom motion error measurement in an ultraprecision machine using laser encoder — Review

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Cited by 40 publications
(23 citation statements)
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“…Precision metrology is still playing an important role in precision on-machine measurement, positioning and manufacturing from the point of a wide range of measurements with high accuracy and resolution [1]- [8].…”
Section: Introductionmentioning
confidence: 99%
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“…Precision metrology is still playing an important role in precision on-machine measurement, positioning and manufacturing from the point of a wide range of measurements with high accuracy and resolution [1]- [8].…”
Section: Introductionmentioning
confidence: 99%
“…In accordance with the increasing market demand for ultra-precision technology, a high precision multi-degree-of-freedom displacement measurement technology has become important for industrial applications such as the field of manufacturing and inspection because physical quantities, such as linear and angular displacements, are key parameters for keeping and improving quality control of a production system [1], [2], [5]- [8].…”
Section: Introductionmentioning
confidence: 99%
“…Thanks to current manufacturing technology such as E-Beam lithography, photolithography, and holography, fabrication of grating structures can be achieved up to nanometer accuracy, which means that fabrication error can be assumed to be negligible. However, diffraction characteristics of the TIR-based grating structures are highly sensitive to those geometric properties, pitch, filling factor, and depth, that the proper design methods to be able to solve global numerical optimization problems with continuous variables have been becoming issues for many optical applications [5][6][7][8]. Here the optical analysis method was combined with the hybrid optimization methods to evaluate the performance of the TIR-based grating structure and find out the optimal set of design parameters at the same time.…”
Section: Introductionmentioning
confidence: 99%
“…Scalar diffraction theory is one of the widely used methods for the design and analysis of grating structures [7][8][9][10]. The Fresnel and Fraunhofer diffraction integrals are 2 Advances in Optical Technologies commonly adopted, and these signals are generally evaluated with the fast Fourier transform (FFT).…”
Section: Introductionmentioning
confidence: 99%
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