Comparison of Various Reconstruction Techniques for Line Projections

• Authors: G. Kontrym-Sznajd , M. Samsel-Czekała , M. Biasini
• Languages of publication: EN

Abstracts

EN

The most effective and popular algorithms to reconstruct the three-dimensional electron-positron momentum density from the measurements of the two-dimensional angular correlation of annihilation radiation are based on the Fourier transform or polynomial expansion. We compare the efficacy of different methods in reconstructing the momentum density of the rare-earth based compounds ErGa_3, CeIn_3 and model profiles, presenting also our new filtering algorithm.

Keywords

EN

71.18.+y; 71.20.Lp; 78.70.Bj; 81.70.Tx

Discipline

• 78.70.Bj: Positron annihilation(for positron states, see 71.60.+z in electronic structure of bulk materials; for positronium chemistry, see 82.30.Gg in physical chemistry and chemical physics)
• 71.20.Lp: Intermetallic compounds
• 71.18.+y: Fermi surface: calculations and measurements; effective mass, g factor
• 81.70.Tx: Computed tomography

• Publisher: Institute of Physics, Polish Academy of Sciences
• Journal: Acta Physica Polonica A
• Year: 2008
• Volume: 113
• Issue: 5
• Pages: 1429-1434

Dates

published

2008-05

received

2007-09-03

Contributors

author

G. Kontrym-Sznajd

• Institute of Low Temperature and Structure Research, Polish Academy of Sciences, P.O. Box 1410, 50-950 Wrocław 2, Poland

author

M. Samsel-Czekała

• Institute of Low Temperature and Structure Research, Polish Academy of Sciences, P.O. Box 1410, 50-950 Wrocław 2, Poland

author

M. Biasini

• Department of Physics, University of California at Riverside, California 92521, USA

References

• 1. S.R. Deans, The Radon Transform and Some of Its Applications, Wiley, New York 1983
• 2. F. Natterer, The Mathematics of Computerized Tomography, Wiley, Stuttgart, 1986
• 3. S. Berko, in: Proc. Int. School Phys. Enrico Fermi Course LXXXIII, Eds. W. Brandt, A. Dupasquier, North Holland, Amsterdam 1983, p. 64
• 4. A.M. Cormack, J. Appl. Phys. 35, 2908 (1964)
• 5. G. Kontrym-Sznajd, Phys. Status Solidi A 117, 227 (1990)
• 6. A. Brooks, G. Di Chiro, Phys. Med. Biol. 21, 689 (1976)
• 7. G. Kontrym-Sznajd, E. Józefczuk, Mater. Sci. Forum 255-257, 754 (1997)
• 8. R.N. Brackwell, The Fourier Transform and Its Applications, McGraw Hill, New York 1965, p. 191
• 9. M. Biasini, G. Ferro, G. Kontrym-Sznajd, A. Czopnik, Phys. Rev. B 70, 125103 (2004)
• 10. G. Kontrym-Sznajd, M. Samsel-Czekała, M. Biasini, Y. Kubo, Phys. Rev. B 70, 125103 (2004)
• 11. H. Matsui, T. Goto, S. Kunii, S. Sakatsume, Physica B 186-188, 126 (1993)
• 12. T. Suzuki, T. Goto, T. Fujimura, S. Kunii, T. Suzuki, T. Kasuya, J. Magn. Magn. Mater. 52, (1985);T. Suzuki, T. Goto, Y. Ohe, T. Fujimura, S. Kunii, J. Phys. C 8, 799 (1988)
• 13. M. Biasini, H.M. Fretwell, S.B. Dugdale, M.A. Alam, Y. Kubo, H. Harima, N. Sato, Phys. Rev. B 56, 10192 (1997);M. Biasini, M.A. Monge, G. Kontrym- -Sznajd, M. Gemmi, N. Sato, Mater. Sci. Forum 363-365, 582 (2001)
• 14. F.M. Hossain, D.P. Riley, G.E. Murch, Phys. Rev. B 70, 235101 (2005)
• 15. H. Harima, O. Sakai, T. Kasuya, A. Yanase, Solid State Commun. 66, 603 (1988)
• 16. Y. Kubo, S. Asano, Phys. Rev. B 39, 8822 (1989)
• 17. G. Kontrym-Sznajd, M. Samsel-Czekała, Appl. Phys. A 89, 975 (2007)
• 18. V.B. Pluznikov, A. Czopnik, G.E. Grechnev, J. Phys., Condens. Matter 11, 4507 (1999)
• 19. M. Biasini, G. Ferro, A. Czopnik, Phys. Rev. B 68, 094513 (2003);J. Rusz, M. Biasini, Phys. Rev. B 71, 233103 (2005)

Identifiers

DOI

10.12693/APhysPolA.113.1429