Hostname: page-component-7479d7b7d-c9gpj Total loading time: 0 Render date: 2024-07-10T02:34:23.385Z Has data issue: false hasContentIssue false
  • English
  • Français

Analysis of positron lifetime spectra via a fast Prony algorithm

Published online by Cambridge University Press:  21 January 2004

A. I. Kul'ment'ev
A. I. Kul'ment'ev*
Affiliation:
Institute of Applied Physics, National Academy of Sciences of the Ukraine, Petropavlovskaya St. 58, 40030 Sumy, Ukraine
*
kulmentev@ipfcentr.sumy.ua
Get access

Abstract

A new fast method is used to analyze positron annihilation lifetime spectra. The regularization procedure to solve the inverse problem of finding parameters of useful signals present in the data is formulated. A new approach to determine the number of components in a spectrum is proposed. Results on simulated spectra demonstrate the high resolution capability of the method.

Keywords

Type
Research Article
Information
The European Physical Journal - Applied Physics , Volume 25 , Issue 3 , March 2004 , pp. 191 - 201
Copyright
© EDP Sciences, 2004

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Positrons in Solids, edited by P. Hautojärvi (Springer, Berlin, 1979), p. 266
R. Krause-Rehberg, H.S. Leipner, Positron Annihilation in Semiconductors Defect Studies (Springer Series in Solid-State Sciences, 1998), p. 378, Vol. 127
Kirkegaard, P., Eldrup, M., Mogensen, O.E., Pedersen, N.J., Comput. Phys. Commun. 23, 307 (1981) CrossRef
P. Kirkegaard, N.J. Pedersen, M. Eldrup, in Positron annihilation, edited by L. Dorikens-Vanpraet, M. Dorikens, D. Segers (Wordl Scientific, Singapore, 1989), p. 642.
S.L. Marple Jr., Digital Spectral Analysis with Applications (Mir, Moscow, 1990), p. 584
Shukla, A., Peter, M., Hoffmann, L., Nucl. Instrum. Methods A 335, 310 (1993) CrossRef
A. Tikhonov, V. Arsenine, Méthodes de Résolution de Problèmes Mal Posés (Mir, Moscow, 1976), p. 288
J.L. Lacoume, Nouvelles méthodes d'analyse spectrale, edited by J. Max, Traitement du Signal et Application aux Mesures Physiques (Masson, Paris, 1987)
M. Morf, B. Dickinson, T. Kailath, A. Viera, IEEE Trans. Acoust. Speech Signal Process. ASSP-25, 429 (1977)
S.L. Marple Jr., IEEE Trans. Acoust. Speech Signal Process. ASSP-29, 62 (1981)
A. Ralston, P. Rabinowitz, A First Course in Numerical Analysis, 2nd edn. (McGraw-Hill, New York, 1978), Chaps. 8.9–8.13
V. Voevodin, Ya. Kuznetsov, Matrix and computation (Nauka, Moskow, 1984), p. 320
L'Écuyer, Communications of the ACM 31, 742 (1988) CrossRef
W.H. Press, S.A. Teukolsky, W.T. Vetterling, B.P. Flannery, Numerical Recipes in Fortran, 2nd edn. (Cambridge University Press, Cambridge, 1992)