Deconvolution of positron annihilation coincidence Doppler broadening spectra using an iterative projected Newton method with non-negativity constraints

K. F. Ho; C. D. Beling; S. Fung; Vincent K.W. Cheng; Michael K. Ng; A. M. Yip

doi:10.1063/1.1619547

Deconvolution of positron annihilation coincidence Doppler broadening spectra using an iterative projected Newton method with non-negativity constraints

K. F. Ho^*
, C. D. Beling
, S. Fung
, Vincent K.W. Cheng
, Michael K. Ng
, A. M. Yip

^*Corresponding author for this work

Department of Mathematics

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

6 Citations (Scopus)

Abstract

A generalized least-square method with Tikonov-Miller regularization and non-negativity constarints was developed for deconvoluting two-dimensional coincidence Doppler broadening spectroscopy (CDBS) spectra. A projected Newton algorithm was developed to solve the generalized least-square problem. The algorithm was used to deconvolute experimental CDBS data from aluminum was tested on Monte Carlo generated spectra. The retrieval of the positron-electron momentum distributions in the low momentum region was also demonstrated.

Original language	English
Pages (from-to)	4779-4787
Number of pages	9
Journal	Review of Scientific Instruments
Volume	74
Issue number	11
DOIs	https://doi.org/10.1063/1.1619547
Publication status	Published - 1 Nov 2003

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10.1063/1.1619547

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title = "Deconvolution of positron annihilation coincidence Doppler broadening spectra using an iterative projected Newton method with non-negativity constraints",

abstract = "A generalized least-square method with Tikonov-Miller regularization and non-negativity constarints was developed for deconvoluting two-dimensional coincidence Doppler broadening spectroscopy (CDBS) spectra. A projected Newton algorithm was developed to solve the generalized least-square problem. The algorithm was used to deconvolute experimental CDBS data from aluminum was tested on Monte Carlo generated spectra. The retrieval of the positron-electron momentum distributions in the low momentum region was also demonstrated.",

author = "Ho, \{K. F.\} and Beling, \{C. D.\} and S. Fung and Cheng, \{Vincent K.W.\} and Ng, \{Michael K.\} and Yip, \{A. M.\}",

note = "The work described in this article is partially supported by grants from the Research Grant Council (RGC) of the Hong Kong Special Administrative Region, China (under Project Nos. HKU7103/02P, HKU7104/98P, HKU7091/00P, and HKU1/00C) and the Hung Hing Ying Physical Science Research Fund. The research of one of the authors (M.K.N.) is supported in part by RGC Grant Nos. 7130/02P and 7046/ 03P and a Science Faculty Collaborative Seed Grant, 2002– 2003. Publisher Copyright: {\textcopyright} 2003 American Institute of Physics",

year = "2003",

month = nov,

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doi = "10.1063/1.1619547",

language = "English",

volume = "74",

pages = "4779--4787",

journal = "Review of Scientific Instruments",

issn = "0034-6748",

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TY - JOUR

T1 - Deconvolution of positron annihilation coincidence Doppler broadening spectra using an iterative projected Newton method with non-negativity constraints

AU - Ho, K. F.

AU - Beling, C. D.

AU - Fung, S.

AU - Cheng, Vincent K.W.

AU - Ng, Michael K.

AU - Yip, A. M.

N1 - The work described in this article is partially supported by grants from the Research Grant Council (RGC) of the Hong Kong Special Administrative Region, China (under Project Nos. HKU7103/02P, HKU7104/98P, HKU7091/00P, and HKU1/00C) and the Hung Hing Ying Physical Science Research Fund. The research of one of the authors (M.K.N.) is supported in part by RGC Grant Nos. 7130/02P and 7046/ 03P and a Science Faculty Collaborative Seed Grant, 2002– 2003. Publisher Copyright: © 2003 American Institute of Physics

PY - 2003/11/1

Y1 - 2003/11/1

N2 - A generalized least-square method with Tikonov-Miller regularization and non-negativity constarints was developed for deconvoluting two-dimensional coincidence Doppler broadening spectroscopy (CDBS) spectra. A projected Newton algorithm was developed to solve the generalized least-square problem. The algorithm was used to deconvolute experimental CDBS data from aluminum was tested on Monte Carlo generated spectra. The retrieval of the positron-electron momentum distributions in the low momentum region was also demonstrated.

AB - A generalized least-square method with Tikonov-Miller regularization and non-negativity constarints was developed for deconvoluting two-dimensional coincidence Doppler broadening spectroscopy (CDBS) spectra. A projected Newton algorithm was developed to solve the generalized least-square problem. The algorithm was used to deconvolute experimental CDBS data from aluminum was tested on Monte Carlo generated spectra. The retrieval of the positron-electron momentum distributions in the low momentum region was also demonstrated.

UR - https://www.scopus.com/pages/publications/0344083668

UR - https://pubs.aip.org/aip/rsi/article/74/11/4779/455772/Deconvolution-of-positron-annihilation-coincidence

U2 - 10.1063/1.1619547

DO - 10.1063/1.1619547

M3 - Journal article

AN - SCOPUS:0344083668

SN - 0034-6748

VL - 74

SP - 4779

EP - 4787

JO - Review of Scientific Instruments

JF - Review of Scientific Instruments

IS - 11

ER -

Deconvolution of positron annihilation coincidence Doppler broadening spectra using an iterative projected Newton method with non-negativity constraints

Abstract

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