### 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 |
---|---|

Pages (from-to) | 249-250 |

Number of pages | 2 |

Journal | Journal of Synchrotron Radiation |

Volume | 6 |

Issue number | 3 |

Publication status | Published - May 1 1999 |

### Fingerprint

### Keywords

- Inverse problem
- Wavelet
- XAFS equation

### ASJC Scopus subject areas

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

### Cite this

*Journal of Synchrotron Radiation*,

*6*(3), 249-250.

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

Research output: Contribution to journal › Article

*Journal of Synchrotron Radiation*, vol. 6, no. 3, pp. 249-250.

}

TY - JOUR

T1 - Linear inverse problem solution of the basic XAFS equation via the Wavelet-Galerkin method

AU - Yamaguchi, Koichiro

AU - Ito, Yoshiaki

AU - Mukoyama, T.

AU - Takahashi, Masao

AU - Emura, Shuichi

PY - 1999/5/1

Y1 - 1999/5/1

N2 - 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.

AB - 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.

KW - Inverse problem

KW - Wavelet

KW - XAFS equation

UR - http://www.scopus.com/inward/record.url?scp=0033467569&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0033467569&partnerID=8YFLogxK

M3 - Article

C2 - 15263266

AN - SCOPUS:0033467569

VL - 6

SP - 249

EP - 250

JO - Journal of Synchrotron Radiation

JF - Journal of Synchrotron Radiation

SN - 0909-0495

IS - 3

ER -