Numerical aspects of grazing incidence XRF

2nd International Conference on Mathematical Modeling in Physical Sciences 2013

物理学;数学

Miqueles, Eduardo^1 ; Pérez, Carlos^1 ; Suaréz, Vanessa I. T.^2

Brazilian Synchrotron Light Source/CNPEM-Campinas, SP, Brazil^1

Universidade Federal de Viçosa/Department of Physics-Viçosa, MG, Brazil^2

关键词: Classical equation;    Fluorescence intensities;    Grazing incidence;    ILL-posed inverse problem;    Inverse algorithm;    Inversion procedure;    Mathematical approach;    X ray fluorescence;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/490/1/012149/pdf
DOI  :  10.1088/1742-6596/490/1/012149

来源: IOP

【 摘 要 】

In this article, we give a different mathematical approach for background aspects of grazing incidence x-ray fluorescence, GIXRF for short. Our contribution comes from an applied point of view, in order to have a computer program to simulate the fluorescence intensity from a stacking of thin layer films. A typical ill-posed inverse problem is formulated. Our aim is to reconstruct the fluorescence intensity for a variety of grazing angle measurements. We rederive some classical equations pointing out the numerical aspects of the inversion procedure and giving new directions for direct in inverse algorithms.