Deconvolution of 2D coincident Doppler broadening spectroscopy using the Richardson-Lucy algorithm

J. D. Zhang; T. J. Zhou; C. K. Cheung; C. D. Beling; S. Fung; M. K. Ng

doi:10.1016/j.nima.2006.01.032

Deconvolution of 2D coincident Doppler broadening spectroscopy using the Richardson-Lucy algorithm

J. D. Zhang^*, T. J. Zhou, C. K. Cheung, C. D. Beling, S. Fung, M. K. Ng

^*Corresponding author for this work

Department of Mathematics

Research output: Contribution to journal › Journal article › peer-review

10 Citations (Scopus)

Abstract

Coincident Doppler Broadening Spectroscopy (CDBS) measurements are popular in positron solid-state studies of materials. By utilizing the instrumental resolution function obtained from a gamma line close in energy to the 511 keV annihilation line, it is possible to significantly enhance the quality of the CDBS spectra using deconvolution algorithms. In this paper, we compare two algorithms, namely the Non-Negativity Least Squares (NNLS) regularized method and the Richardson-Lucy (RL) algorithm. The latter, which is based on the method of maximum likelihood, is found to give superior results to the regularized least-squares algorithm and with significantly less computer processing time.

Original language	English
Pages (from-to)	552-557
Number of pages	6
Journal	Nuclear Instruments and Methods in Physics Research, Section A: Accelerators, Spectrometers, Detectors and Associated Equipment
Volume	560
Issue number	2
DOIs	https://doi.org/10.1016/j.nima.2006.01.032
Publication status	Published - 10 May 2006

Scopus Subject Areas

Nuclear and High Energy Physics
Instrumentation

User-Defined Keywords

Coincidence Doppler Broadening Spectroscopy
Deconvolution
Richardson-Lucy

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10.1016/j.nima.2006.01.032

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Zhang, J. D., Zhou, T. J., Cheung, C. K., Beling, C. D., Fung, S., & Ng, M. K. (2006). Deconvolution of 2D coincident Doppler broadening spectroscopy using the Richardson-Lucy algorithm. Nuclear Instruments and Methods in Physics Research, Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, 560(2), 552-557. https://doi.org/10.1016/j.nima.2006.01.032

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title = "Deconvolution of 2D coincident Doppler broadening spectroscopy using the Richardson-Lucy algorithm",

abstract = "Coincident Doppler Broadening Spectroscopy (CDBS) measurements are popular in positron solid-state studies of materials. By utilizing the instrumental resolution function obtained from a gamma line close in energy to the 511 keV annihilation line, it is possible to significantly enhance the quality of the CDBS spectra using deconvolution algorithms. In this paper, we compare two algorithms, namely the Non-Negativity Least Squares (NNLS) regularized method and the Richardson-Lucy (RL) algorithm. The latter, which is based on the method of maximum likelihood, is found to give superior results to the regularized least-squares algorithm and with significantly less computer processing time.",

keywords = "Coincidence Doppler Broadening Spectroscopy, Deconvolution, Richardson-Lucy",

author = "Zhang, {J. D.} and Zhou, {T. J.} and Cheung, {C. K.} and Beling, {C. D.} and S. Fung and Ng, {M. K.}",

year = "2006",

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doi = "10.1016/j.nima.2006.01.032",

language = "English",

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journal = "Nuclear Instruments and Methods in Physics Research, Section A: Accelerators, Spectrometers, Detectors and Associated Equipment",

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Zhang, JD, Zhou, TJ, Cheung, CK, Beling, CD, Fung, S & Ng, MK 2006, 'Deconvolution of 2D coincident Doppler broadening spectroscopy using the Richardson-Lucy algorithm', Nuclear Instruments and Methods in Physics Research, Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, vol. 560, no. 2, pp. 552-557. https://doi.org/10.1016/j.nima.2006.01.032

Deconvolution of 2D coincident Doppler broadening spectroscopy using the Richardson-Lucy algorithm. / Zhang, J. D.; Zhou, T. J.; Cheung, C. K. et al.
In: Nuclear Instruments and Methods in Physics Research, Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, Vol. 560, No. 2, 10.05.2006, p. 552-557.

Research output: Contribution to journal › Journal article › peer-review

TY - JOUR

T1 - Deconvolution of 2D coincident Doppler broadening spectroscopy using the Richardson-Lucy algorithm

AU - Zhang, J. D.

AU - Zhou, T. J.

AU - Cheung, C. K.

AU - Beling, C. D.

AU - Fung, S.

AU - Ng, M. K.

PY - 2006/5/10

Y1 - 2006/5/10

N2 - Coincident Doppler Broadening Spectroscopy (CDBS) measurements are popular in positron solid-state studies of materials. By utilizing the instrumental resolution function obtained from a gamma line close in energy to the 511 keV annihilation line, it is possible to significantly enhance the quality of the CDBS spectra using deconvolution algorithms. In this paper, we compare two algorithms, namely the Non-Negativity Least Squares (NNLS) regularized method and the Richardson-Lucy (RL) algorithm. The latter, which is based on the method of maximum likelihood, is found to give superior results to the regularized least-squares algorithm and with significantly less computer processing time.

AB - Coincident Doppler Broadening Spectroscopy (CDBS) measurements are popular in positron solid-state studies of materials. By utilizing the instrumental resolution function obtained from a gamma line close in energy to the 511 keV annihilation line, it is possible to significantly enhance the quality of the CDBS spectra using deconvolution algorithms. In this paper, we compare two algorithms, namely the Non-Negativity Least Squares (NNLS) regularized method and the Richardson-Lucy (RL) algorithm. The latter, which is based on the method of maximum likelihood, is found to give superior results to the regularized least-squares algorithm and with significantly less computer processing time.

KW - Coincidence Doppler Broadening Spectroscopy

KW - Deconvolution

KW - Richardson-Lucy

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DO - 10.1016/j.nima.2006.01.032

M3 - Journal article

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SN - 0168-9002

VL - 560

SP - 552

EP - 557

JO - Nuclear Instruments and Methods in Physics Research, Section A: Accelerators, Spectrometers, Detectors and Associated Equipment

JF - Nuclear Instruments and Methods in Physics Research, Section A: Accelerators, Spectrometers, Detectors and Associated Equipment

IS - 2

ER -

Deconvolution of 2D coincident Doppler broadening spectroscopy using the Richardson-Lucy algorithm

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