Positron lifetime analysis using the matrix inversion Laplace transformation method

被引：1

作者：

Deng, AH ^{[1
]}

Panda, BK ^{[1
]}

Fung, S ^{[1
]}

Beling, CD ^{[1
]}

机构：

[1] Univ Hong Kong, Dept Phys, Hong Kong, Hong Kong

来源：

POSITRON ANNIHILATION: ICPA-11 - PROCEEDINGS OF THE 11TH INTERNATIONAL CONFERENCE ON POSITRON ANNIHILATION, KANSAS CITY, MISSOURI, USA, MAY 1997 | 1997年 / 255-2卷

关键词：

matrix inversion; annihilation rate spectrum; non-negativity constraint;

D O I：

10.4028/www.scientific.net/MSF.255-257.744

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

The generalized least squares matrix formalism method with non-negativity constraint Is developed to analyze positron annihilation lifetime (PAL) spectra to obtain an annihilation rate spectrum (ARS). The method for obtaining the instrumental resolution function from a single component PAL spectrum is demonstrated. The present code is tested using computer simulated position lifetime data and some experimental spectra.

引用

页码：744 / 746

页数：3

共 50 条

[1] Positron lifetime analysis using the matrix inverse Laplace transformation method
Deng, AH
Panda, BK
Fung, S
Beling, CD
Schrader, DM
NUCLEAR INSTRUMENTS & METHODS IN PHYSICS RESEARCH SECTION B-BEAM INTERACTIONS WITH MATERIALS AND ATOMS, 1998, 140 (3-4): : 439 - 448
[2] The application of Laplace inversion technique in analysis of positron lifetime spectra
Wang, SJ
Chen, ZQ
Ma, L
JOURNAL OF RADIOANALYTICAL AND NUCLEAR CHEMISTRY-ARTICLES, 1996, 211 (01): : 153 - 160
[3] ANALYSIS OF POSITRON-ANNIHILATION LIFETIME DATA BY NUMERICAL LAPLACE INVERSION WITH THE PROGRAM CONTIN
GREGORY, RB
ZHU, YK
NUCLEAR INSTRUMENTS & METHODS IN PHYSICS RESEARCH SECTION A-ACCELERATORS SPECTROMETERS DETECTORS AND ASSOCIATED EQUIPMENT, 1990, 290 (01): : 172 - 182
[4] EVALUATION OF A NEW METHOD FOR NUMERICAL LAPLACE TRANSFORMATION AND INVERSION
WILCOX, DJ
GIBSON, IS
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 1984, 20 (08) : 1521 - 1528
[5] NUMERICAL LAPLACE TRANSFORMATION AND INVERSION IN THE ANALYSIS OF PHYSICAL SYSTEMS
WILCOX, DJ
GIBSON, IS
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 1984, 20 (08) : 1507 - 1519
[6] NUMERICAL LAPLACE TRANSFORMATION AND INVERSION
WILCOX, DJ
INTERNATIONAL JOURNAL OF ELECTRICAL ENGINEERING EDUCATION, 1978, 15 (03) : 247 - 265
[7] INVERSION FORMULAE FOR THE LAPLACE TRANSFORMATION
ERDELYI, A
BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1948, 54 (11) : 1060 - 1061
[8] Numerical laplace transformation and inversion using the fast fourier transform
Inoue, Hirotsugu
Kamibayashi, Minoru
Kishimoto, Kikuo
Shibuya, Toshikazu
Koizumi, Takashi
Nippon Kikai Gakkai Ronbunshu, A Hen/Transactions of the Japan Society of Mechanical Engineers, Part A, 1991, 57 (542): : 2523 - 2528
[9] Inversion formul ae for the Laplace transformation
Erdelyi, A
PHILOSOPHICAL MAGAZINE, 1943, 34 (235): : 533 - 537
[10] Additional notes on the inversion of the Laplace transformation
Churchill, RV
MATHEMATISCHE ZEITSCHRIFT, 1938, 43 : 743 - 748

← 1 2 3 4 5 →