Regularization of the basic X-ray absorption spectrum fine structure equation via the wavelet-Galerkin method

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

Research output: Contribution to journalArticle

10 Citations (Scopus)

Abstract

A linear inverse problem algorithm based on the wavelet-Galerkin method has been constructed to solve the single-component basic x-ray absorption spectrum fine structure (XAFS) equation. Daubechies wavelet and Landweber-Friedman-Bialy iteration are utilized in this formulation. Solutions for exact and noise-contaminated model K-edge Cu XAFS spectra are estimated to illustrate our method. It is possible to obtain a sufficiently exact solution for the radial distribution function with expansion by using rather a small number of wavelet bases. For the experimental K-edge Cu XAFS spectrum, our method predicts almost the exact locations of the peaks up to the third shell.

Original languageEnglish
Pages (from-to)1393-1408
Number of pages16
JournalJournal of Physics B: Atomic, Molecular and Optical Physics
Volume32
Issue number5
DOIs
Publication statusPublished - Mar 14 1999

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Galerkin method
x ray spectra
x ray absorption
fine structure
absorption spectra
x rays
radial distribution
iteration
distribution functions
formulations
expansion

ASJC Scopus subject areas

  • Physics and Astronomy(all)
  • Atomic and Molecular Physics, and Optics

Cite this

Regularization of the basic X-ray absorption spectrum fine structure equation via the wavelet-Galerkin method. / Yamaguchi, Koichiro; Ito, Yoshiaki; Mukoyama, T.; Takahashi, Masao; Emura, Shuichi.

In: Journal of Physics B: Atomic, Molecular and Optical Physics, Vol. 32, No. 5, 14.03.1999, p. 1393-1408.

Research output: Contribution to journalArticle

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