### 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 language | English |
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Pages (from-to) | 249-250 |

Number of pages | 2 |

Journal | Journal of Synchrotron Radiation |

Volume | 6 |

Issue number | 3 |

DOIs | |

Publication status | Published - May 1 1999 |

### Keywords

- Inverse problem
- Wavelet
- XAFS equation

### ASJC Scopus subject areas

- Radiation
- Nuclear and High Energy Physics
- Instrumentation

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## Cite this

Yamaguchi, K., Ito, Y., Mukoyama, T., Takahashi, M., & Emura, S. (1999). Linear inverse problem solution of the basic XAFS equation via the Wavelet-Galerkin method.

*Journal of Synchrotron Radiation*,*6*(3), 249-250. https://doi.org/10.1107/S0909049599001442