Analytical and Numerical Investigations into Hemisphere-Shaped Electrostatic Sensors

Electrostatic sensors have been widely used in many applications due to their advantages of low cost and robustness. Their spatial sensitivity and time-frequency characteristics are two important performance parameters. In this paper, an analytical model of the induced charge on a novel hemisphere-s...

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Main Authors: Jun Lin, Zhong-Sheng Chen, Zheng Hu, Yong-Min Yang, Xin Tang
Format: Article
Language:English
Published: MDPI AG 2014-07-01
Series:Sensors
Subjects:
Online Access:http://www.mdpi.com/1424-8220/14/8/14021
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author Jun Lin
Zhong-Sheng Chen
Zheng Hu
Yong-Min Yang
Xin Tang
author_facet Jun Lin
Zhong-Sheng Chen
Zheng Hu
Yong-Min Yang
Xin Tang
author_sort Jun Lin
collection DOAJ
description Electrostatic sensors have been widely used in many applications due to their advantages of low cost and robustness. Their spatial sensitivity and time-frequency characteristics are two important performance parameters. In this paper, an analytical model of the induced charge on a novel hemisphere-shaped electrostatic sensor was presented to investigate its accurate sensing characteristics. Firstly a Poisson model was built for electric fields produced by charged particles. Then the spatial sensitivity and time-frequency response functions were directly derived by the Green function. Finally, numerical calculations were done to validate the theoretical results. The results demonstrate that the hemisphere-shaped sensors have highly 3D-symmetrical spatial sensitivity expressed in terms of elementary function, and the spatial sensitivity is higher and less homogeneous near the hemispherical surface and vice versa. Additionally, the whole monitoring system, consisting of an electrostatic probe and a signal conditioner circuit, acts as a band-pass filter. The time-frequency characteristics depend strongly on the spatial position and velocity of the charged particle, the radius of the probe as well as the equivalent resistance and capacitance of the circuit.
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spelling doaj.art-8355b5e90c7a4fa6a706ece5b3b77bf12022-12-22T04:23:25ZengMDPI AGSensors1424-82202014-07-01148140211403710.3390/s140814021s140814021Analytical and Numerical Investigations into Hemisphere-Shaped Electrostatic SensorsJun Lin0Zhong-Sheng Chen1Zheng Hu2Yong-Min Yang3Xin Tang4Science and Technology on Integrated Logistics Support Laboratory, National University of Defense Technology, Changsha 410073, ChinaScience and Technology on Integrated Logistics Support Laboratory, National University of Defense Technology, Changsha 410073, ChinaScience and Technology on Integrated Logistics Support Laboratory, National University of Defense Technology, Changsha 410073, ChinaScience and Technology on Integrated Logistics Support Laboratory, National University of Defense Technology, Changsha 410073, ChinaScience and Technology on Integrated Logistics Support Laboratory, National University of Defense Technology, Changsha 410073, ChinaElectrostatic sensors have been widely used in many applications due to their advantages of low cost and robustness. Their spatial sensitivity and time-frequency characteristics are two important performance parameters. In this paper, an analytical model of the induced charge on a novel hemisphere-shaped electrostatic sensor was presented to investigate its accurate sensing characteristics. Firstly a Poisson model was built for electric fields produced by charged particles. Then the spatial sensitivity and time-frequency response functions were directly derived by the Green function. Finally, numerical calculations were done to validate the theoretical results. The results demonstrate that the hemisphere-shaped sensors have highly 3D-symmetrical spatial sensitivity expressed in terms of elementary function, and the spatial sensitivity is higher and less homogeneous near the hemispherical surface and vice versa. Additionally, the whole monitoring system, consisting of an electrostatic probe and a signal conditioner circuit, acts as a band-pass filter. The time-frequency characteristics depend strongly on the spatial position and velocity of the charged particle, the radius of the probe as well as the equivalent resistance and capacitance of the circuit.http://www.mdpi.com/1424-8220/14/8/14021electrostatic monitoringhemisphere-shaped sensorsGreen functionspatial sensitivityinduced charge
spellingShingle Jun Lin
Zhong-Sheng Chen
Zheng Hu
Yong-Min Yang
Xin Tang
Analytical and Numerical Investigations into Hemisphere-Shaped Electrostatic Sensors
Sensors
electrostatic monitoring
hemisphere-shaped sensors
Green function
spatial sensitivity
induced charge
title Analytical and Numerical Investigations into Hemisphere-Shaped Electrostatic Sensors
title_full Analytical and Numerical Investigations into Hemisphere-Shaped Electrostatic Sensors
title_fullStr Analytical and Numerical Investigations into Hemisphere-Shaped Electrostatic Sensors
title_full_unstemmed Analytical and Numerical Investigations into Hemisphere-Shaped Electrostatic Sensors
title_short Analytical and Numerical Investigations into Hemisphere-Shaped Electrostatic Sensors
title_sort analytical and numerical investigations into hemisphere shaped electrostatic sensors
topic electrostatic monitoring
hemisphere-shaped sensors
Green function
spatial sensitivity
induced charge
url http://www.mdpi.com/1424-8220/14/8/14021
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AT zhenghu analyticalandnumericalinvestigationsintohemisphereshapedelectrostaticsensors
AT yongminyang analyticalandnumericalinvestigationsintohemisphereshapedelectrostaticsensors
AT xintang analyticalandnumericalinvestigationsintohemisphereshapedelectrostaticsensors