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Dealing with Asymmetrical Abel Inversion Using Fourier-Bessel Expansions

A new method is presented for dealing with asymmetrical Abel inversion in this paper. We separate the integrated quantity into odd and even parts using Yasutomo's method. The asymmetric local value is expressed as the product of a weight function and a symmetric local value. The symmetric distribution is expanded into Fourier-Bessel series. The coefficients of the series are determined by the use of a least-square-fitting method.