Linear inverse problem solution of the basic XAFS equation via the Wavelet-Galerkin method

Koichiro Yamaguchi, Yoshiaki Ito, T. Mukoyama, Masao Takahashi, Shuichi Emura

Research output: Contribution to journalArticle

Abstract

The basic XAFS equation given by Sayers, Stern and Lytle is solved by a linear inverse problem method instead of usual Fourier transform. The Wavelet-Galerkin discretization is utilized in our formulation for efficient calculations. As a result of model calculations, sufficiently exact solutions for radial distribution function are obtained with expansion by a small number of wavelets within the range of description of the basic XAFS equation.

Original languageEnglish
Pages (from-to)249-250
Number of pages2
JournalJournal of Synchrotron Radiation
Volume6
Issue number3
Publication statusPublished - May 1 1999

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Galerkin method
Galerkin methods
Inverse problems
radial distribution
Distribution functions
Fourier transforms
distribution functions
formulations
expansion

Keywords

  • Inverse problem
  • Wavelet
  • XAFS equation

ASJC Scopus subject areas

  • Physics and Astronomy (miscellaneous)
  • Instrumentation
  • Atomic and Molecular Physics, and Optics
  • Radiation

Cite this

Linear inverse problem solution of the basic XAFS equation via the Wavelet-Galerkin method. / Yamaguchi, Koichiro; Ito, Yoshiaki; Mukoyama, T.; Takahashi, Masao; Emura, Shuichi.

In: Journal of Synchrotron Radiation, Vol. 6, No. 3, 01.05.1999, p. 249-250.

Research output: Contribution to journalArticle

Yamaguchi, Koichiro ; Ito, Yoshiaki ; Mukoyama, T. ; Takahashi, Masao ; Emura, Shuichi. / Linear inverse problem solution of the basic XAFS equation via the Wavelet-Galerkin method. In: Journal of Synchrotron Radiation. 1999 ; Vol. 6, No. 3. pp. 249-250.
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