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A review of nanometer resolution position sensors: Operation and performance

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TLDR
In this paper, the authors define concise performance metrics and provide exact and approximate expressions for error sources including nonlinearity, drift and noise for position sensors with nanometer resolution, including resistive, piezoelectric and piezoresistive strain sensors.
Abstract
Position sensors with nanometer resolution are a key component of many precision imaging and fabrication machines. Since the sensor characteristics can define the linearity, resolution and speed of the machine, the sensor performance is a foremost consideration. The first goal of this article is to define concise performance metrics and to provide exact and approximate expressions for error sources including non-linearity, drift and noise. The second goal is to review current position sensor technologies and to compare their performance. The sensors considered include: resistive, piezoelectric and piezoresistive strain sensors; capacitive sensors; electrothermal sensors; eddy current sensors; linear variable displacement transformers; interferometers; and linear encoders.

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References
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TL;DR: In this paper, the Discrete Kalman Filter (DFL) is used for smoothing and prediction linearization in the Global Positioning System (GPS) and a case study is presented.
Journal ArticleDOI

Piezoresistance Effect in Germanium and Silicon

TL;DR: In this article, the complete tensor piezoresistance has been determined experimentally for these materials and expressed in terms of the pressure coefficient of resistivity and two simple shear coefficients.
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Micromachined Transducers Sourcebook

TL;DR: In this paper, the authors present an overview of Micromachining Techniques, Mechanical Transducers, Optical Transducers and Ionizing Radiation Transducers for Microfluidic Devices.
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A Survey of Control Issues in Nanopositioning

TL;DR: This paper presents an overview of nanopositioning technologies and devices emphasizing the key role of advanced control techniques in improving precision, accuracy, and speed of operation of these systems.
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Review: Semiconductor Piezoresistance for Microsystems

TL;DR: This paper provides a comprehensive overview of integrated piezoresistor technology with an introduction to the physics of Piezoresistivity, process and material selection and design guidance useful to researchers and device engineers.
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