A new analytical inversion to Fraunhofer diffraction

Zhang Cao; Lijun Xu; Jie Ding

doi:10.1109/IMTC.2009.5168502

A new analytical inversion to Fraunhofer diffraction

Zhang Cao^*
, Lijun Xu
, Jie Ding

^*Corresponding author for this work

School of Instrumentation and Optoelectronic Engineering

Beihang University

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

An analytical inversion to the particle sizing problem in Fraunhofer diffraction was introduced in this paper. Compared with the well known Chin-Shifrin inversion, it is an inversion of the integral transform and less sensitive to the noise. Simulation results with 0.1% noise were obtained and show that the new inversion performs well even in the case of noisy data, where the Chin-Shifrin method does not converge.

Original language	English
Title of host publication	2009 IEEE Intrumentation and Measurement Technology Conference, I2MTC 2009
Pages	507-510
Number of pages	4
DOIs	https://doi.org/10.1109/IMTC.2009.5168502
State	Published - 2009
Event	2009 IEEE Intrumentation and Measurement Technology Conference, I2MTC 2009 - Singapore, Singapore Duration: 5 May 2009 → 7 May 2009

Publication series

Name	2009 IEEE Intrumentation and Measurement Technology Conference, I2MTC 2009

Conference

Conference	2009 IEEE Intrumentation and Measurement Technology Conference, I2MTC 2009
Country/Territory	Singapore
City	Singapore
Period	5/05/09 → 7/05/09

Keywords

Fraunhofer diffraction
Integral transform
Particle size

Access to Document

10.1109/IMTC.2009.5168502

Cite this

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title = "A new analytical inversion to Fraunhofer diffraction",

abstract = "An analytical inversion to the particle sizing problem in Fraunhofer diffraction was introduced in this paper. Compared with the well known Chin-Shifrin inversion, it is an inversion of the integral transform and less sensitive to the noise. Simulation results with 0.1\% noise were obtained and show that the new inversion performs well even in the case of noisy data, where the Chin-Shifrin method does not converge.",

keywords = "Fraunhofer diffraction, Integral transform, Particle size",

author = "Zhang Cao and Lijun Xu and Jie Ding",

year = "2009",

doi = "10.1109/IMTC.2009.5168502",

language = "英语",

isbn = "9781424433537",

series = "2009 IEEE Intrumentation and Measurement Technology Conference, I2MTC 2009",

pages = "507--510",

booktitle = "2009 IEEE Intrumentation and Measurement Technology Conference, I2MTC 2009",

note = "2009 IEEE Intrumentation and Measurement Technology Conference, I2MTC 2009 ; Conference date: 05-05-2009 Through 07-05-2009",

}

Cao, Z , Xu, L & Ding, J 2009, A new analytical inversion to Fraunhofer diffraction. in 2009 IEEE Intrumentation and Measurement Technology Conference, I2MTC 2009., 5168502, 2009 IEEE Intrumentation and Measurement Technology Conference, I2MTC 2009, pp. 507-510, 2009 IEEE Intrumentation and Measurement Technology Conference, I2MTC 2009, Singapore, Singapore, 5/05/09. https://doi.org/10.1109/IMTC.2009.5168502

A new analytical inversion to Fraunhofer diffraction. / Cao, Zhang ; Xu, Lijun; Ding, Jie.
2009 IEEE Intrumentation and Measurement Technology Conference, I2MTC 2009. 2009. p. 507-510 5168502 (2009 IEEE Intrumentation and Measurement Technology Conference, I2MTC 2009).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

TY - GEN

T1 - A new analytical inversion to Fraunhofer diffraction

AU - Cao, Zhang

AU - Xu, Lijun

AU - Ding, Jie

PY - 2009

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N2 - An analytical inversion to the particle sizing problem in Fraunhofer diffraction was introduced in this paper. Compared with the well known Chin-Shifrin inversion, it is an inversion of the integral transform and less sensitive to the noise. Simulation results with 0.1% noise were obtained and show that the new inversion performs well even in the case of noisy data, where the Chin-Shifrin method does not converge.

AB - An analytical inversion to the particle sizing problem in Fraunhofer diffraction was introduced in this paper. Compared with the well known Chin-Shifrin inversion, it is an inversion of the integral transform and less sensitive to the noise. Simulation results with 0.1% noise were obtained and show that the new inversion performs well even in the case of noisy data, where the Chin-Shifrin method does not converge.

KW - Fraunhofer diffraction

KW - Integral transform

KW - Particle size

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DO - 10.1109/IMTC.2009.5168502

M3 - 会议稿件

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SN - 9781424433537

T3 - 2009 IEEE Intrumentation and Measurement Technology Conference, I2MTC 2009

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BT - 2009 IEEE Intrumentation and Measurement Technology Conference, I2MTC 2009

T2 - 2009 IEEE Intrumentation and Measurement Technology Conference, I2MTC 2009

Y2 - 5 May 2009 through 7 May 2009

ER -

A new analytical inversion to Fraunhofer diffraction

Abstract

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Keywords

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