Geodesic
On an inverse problem of quantitative electron probe microanalysis
Numerical methods and programming, Tome 4 (2003) no. 1, pp. 26-32.

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A method for the tracer-free experimental determination of the function generating the in-depth characteristic X-ray used for evaluation of component concentrations in electron probe microanalysis is considered. Application of our method brings about to an inverse problem for a Fredholm equation of the first kind. An algorithm for solving this problem is proposed; the algorithm is based on the information given a priori and on physical restrictions imposed on the sought-for function.
Keywords: Fredholm equations of the first kind, electron probe microanalysis, tracer-free method, inverse problems, regularization method. 
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     title = {On an inverse problem of quantitative electron probe microanalysis},
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D. V. Zotyev; M. N. Filippov; A. G. Yagola. On an inverse problem of quantitative electron probe microanalysis. Numerical methods and programming, Tome 4 (2003) no. 1, pp. 26-32. http://geodesic.mathdoc.fr/item/VMP_2003_4_1_a3/