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[en] A numerical method based on techniques of inverse Fourier convolution and nonlinear least square algorithm, etc., is presented for obtaining high-resolved X-ray spectra of laser plasmas, which can eliminate the line-broadening induced by radiation sources and spectrographs, and can improve the spectral resolving power of spectrographs. The code ESDAP has now been successfully applied to the analysis of spectra from line-shaped Mg and CaF2 laser plasmas
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