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Image of electron densities from line and plane projections

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Abstract

We compare Fourier transforms with orthogonal polynomials techniques applied in reconstructing three-dimensional electron–positron momentum densities from two-dimensional angular correlation of annihilation radiation (2D-ACAR) spectra and electron momentum densities from one-dimensional Compton profiles (1D-CP). In the case of Fourier transforms, we show results for two different algorithms: filtered back projection and Fourier–Bessel method. These techniques are presented for 2D-ACAR spectra in Y, ErGa3 and model profiles.

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References

  1. G.T. Herman, Image Reconstruction from Projection (Academic, New York, 1980)

    Google Scholar 

  2. S.R. Deans, The Radon Transform and Some of Its Applications (Wiley, New York, Chichester, Brisbane, Toronto, Singapore, 1983)

    MATH  Google Scholar 

  3. F. Natterer, The Mathematics of Computerized Tomography (Wiley, Stuttgart, 1986)

    MATH  Google Scholar 

  4. M.J. Cooper, Rep. Prog. Phys. 48, 415 (1985)

    Article  ADS  Google Scholar 

  5. M.J. Cooper, P.E. Mijnarends, N. Shiotani, N. Sakai, A. Bansil (eds.), X-ray Compton Scattering (Oxford University Press, Oxford, 2004)

  6. S. Berko, in: Proc. Int. School Phys. Enrico Fermi, ed. by W. Brandt, A. Dupasquier (Amsterdam, North Holland, 1983), p. 64

  7. R.N. West, in: Proc. Int. School Phys. Enrico Fermi, ed. by W. Brandt, A. Dupasquier (Amsterdam, North Holland, 1983), p. 75

  8. R.M. Lewitt, Proc. IEEE 71, 390 (1983)

    Google Scholar 

  9. R.M. Lewitt, R.H. Bates, Optik 50, 19 (1978)

    Google Scholar 

  10. R.M. Lewitt, R.H. Bates, Optik 50, 85 (1978)

    Google Scholar 

  11. R.M. Lewitt, R.H. Bates, Optik 50, 189 (1978)

    Google Scholar 

  12. N.K. Hansen, in: X-ray Compton Scattering, ed. by M.J. Cooper, P.E. Mijnarends, N. Shiotani, N. Sakai, A. Bansil (Oxford University Press, Oxford, 2004)

  13. R. Suzuki, S. Tanigawa, in: Positron Annihilation, ed. by P.C. Jain, R.M. Singru, K.P. Gopinathan (World Scientific, Singapore, 1985), p. 626

  14. A.M. Cormack, J. Appl. Phys. 35, 2908 (1964)

    Article  MATH  ADS  Google Scholar 

  15. G. Kontrym-Sznajd, Phys. Stat. Solidi A 117, 227 (1990)

    Article  Google Scholar 

  16. G. Kontrym-Sznajd, M. Samsel-Czekała, Appl. Phys. A 70, 89 (2000)

    Article  ADS  Google Scholar 

  17. G. Kontrym-Sznajd, A. Jura, M. Samsel-Czekała, Appl. Phys. A 74, 605 (2002)

    Article  ADS  Google Scholar 

  18. N. Hiraoka, T. Buslaps, V. Honkimäki, H. Minami, H. Uwe, Phys. Rev. B 75, 121101 (2007)

    Article  ADS  Google Scholar 

  19. A. Brooks, G. Di Chiro, Phys. Med. Biol. 21, 689 (1976)

    Article  Google Scholar 

  20. R.N. Brackwell, The Fourier Transform and its Applications (McGraw Hill, New York, 1965), p. 191

    Google Scholar 

  21. G. Kontrym-Sznajd, E. Józefczuk, Positron Annihilation, Materials Science Forum, ed. by Y.C. Jean, M. Eldrup, D.M. Schrader, R.N. West, Trans. Tech. Publ. Switzerland 255–257, 754 (1997)

  22. M. Biasini, G. Ferro, G. Kontrym-Sznajd, A. Czopnik, Phys. Rev. B 66, 075126 (2002)

    Article  ADS  Google Scholar 

  23. R. Suzuki, M. Osawa, S. Tanigawa, M. Matsumoto, N. Shiotani, J. Phys. Soc. Japan 58, 3251 (1989)

    Article  ADS  Google Scholar 

  24. Y. Tanaka, N. Sakai, Y. Kubo, H. Kawata, Phys. Rev. Lett. 70, 1537 (1993)

    Article  ADS  Google Scholar 

  25. Y. Tanaka, Y. Sakurai, A.T. Stewart, N. Shiotani, P.E. Mijnarends, S. Kaprzyk, A. Bansil, Phys. Rev. B 63, 045120 (2001)

    Article  ADS  Google Scholar 

  26. I. Matsumoto, J. Kwiatkowska, F. Maniawski, M. Itou, H. Kawata, N. Shiotani, S. Kaprzyk P.E. Mijnarends B. Barbiellini, A. Bansil, Phys. Rev. B 64, 045121 (2001)

    Article  ADS  Google Scholar 

  27. N. Hiraoka, T. Buslaps, V. Honkimäki, H. Guyot, C. Schlenker, Phys. Rev. B 71, 125417 (2005)

    Article  ADS  Google Scholar 

  28. D.G. Lock, V.H.C. Crisp, R.N. West, J. Phys. F Met. Phys. 3, 561 (1973)

    Article  ADS  Google Scholar 

  29. G. Kontrym-Sznajd, M. Samsel-Czekała, M. Biasini, Y. Kubo, Phys. Rev. B 70, 125103 (2004)

    Article  ADS  Google Scholar 

  30. V.B. Pluzhnikov, A. Czopnik, G.E. Grechnev, J. Phys.: Condens. Matter 11, 4507 (1999)

    Article  ADS  Google Scholar 

  31. G. Kontrym-Sznajd, M. Samsel-Czekała, G.E. Grechnev, H. Sormann, Phys. Stat. Solidi C 4, 3879 (2007)

    Article  Google Scholar 

  32. H.L. Skriver, The LMTO Method (Springer, Berlin, 1984)

    Google Scholar 

  33. L.M. Pecora, IEEE Trans. Nucl. Sci. 34, 642 (1987)

    Article  ADS  Google Scholar 

  34. L.M. Pecora, J. Phys.: Condens. Matter 1, SA1 (1989)

  35. R.L. Waspe, R.N. West, in: Positron Annihilation, ed. by P.G. Coleman, S. Sharma, L.M. Diana (North-Holland, Amsterdam, 1982), p. 328

  36. M.A. Alam, R.L. Waspe, R.N. West, in: Positron Annihilation, ed. by L. Dorikens-Vanpraet, M. Dorikens, D. Segers (World Scientific, Singapore, 1989), p. 242

  37. S.B. Dugdale, H.M. Fretwell, M.A. Alam, G. Kontrym-Sznajd, R.N. West, S. Badrzadeh, Phys. Rev. Lett. 79, 941 (1997)

    Article  ADS  Google Scholar 

  38. G. Kontrym-Sznajd, M. Samsel-Czekała, A. Pietraszko, H. Sormann, S. Manninen, S. Huotari, K. Hämäläinen, J. Laukkanen, R.N. West, W. Schülke, Phys. Rev. B 66, 155110 (2002)

    Article  ADS  Google Scholar 

  39. P.E. Mijnarends, Phys. Rev. 160, 512 (1967)

    Article  ADS  Google Scholar 

  40. C. Lanczos, Applied Analysis (Pitman, London, 1964), Chapt. 2

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Authors and Affiliations

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

    G. Kontrym-Sznajd & M. Samsel-Czekała

  2. Department of Physics, University of California, Riverside, CA, 92521, USA

    M. Biasini

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  1. G. Kontrym-Sznajd
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  2. M. Samsel-Czekała
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  3. M. Biasini
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Correspondence to G. Kontrym-Sznajd.

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PACS

78.70.Bj; 87.59.Fm; 71.18.+y

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Kontrym-Sznajd, G., Samsel-Czekała, M. & Biasini, M. Image of electron densities from line and plane projections. Appl. Phys. A 91, 131–136 (2008). https://doi.org/10.1007/s00339-007-4385-y

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