Based on polynomial approximation, method of reconstruction of soft X-rayand extreme ultraviolet radiation spectrum from a diffraction patternobtained using a transmission diffraction gratingстатья
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Дата последнего поиска статьи во внешних источниках: 10 апреля 2024 г.
Аннотация:A transmission diffraction grating is a useful tool for studying spectra in the soft X-ray and extreme ultravioletrange, created by the radiation of small–sized sources, such as laser produced plasma, vacuum spark, Z-pinch, Xpinch,etc. In almost all such experiments, a distance between the source and the grating is much larger than thesize of the source, so the incident wave can be considered plane with sufficient accuracy, the distance from therecording detector to the grating is also much larger than the size of the grating and, therefore, Fraunhoferdiffraction takes place here and the presence of a focusing element is not required.The interpretation of the results obtained using such a grating is difficult due to the fact that differentdiffraction orders overlap in the registered diffraction pattern. Therefore, there is a problem of reconstruction thetrue spectrum from an experimental diffraction pattern. In this paper, this problem is solved by approximatingthe function of the radiation intensity recorded on the diffraction pattern by a polynomial. In this case, due to theproperties of the transmission diffraction grating, the desired function describing the spectrum being reconstructedis also a polynomial, which can be calculated according to the developed algorithm. Both the directconversion of the spectrum into the diffraction pattern and the reverse conversion of the diffraction pattern intothe spectrum do not change the radius of convergence, since multiplication is carried out by multipliers uniformlybounded from above and below. It follows from this that minor errors in the definition of the functiondescribing the diffraction pattern cannot lead to significant errors in the reconstructed spectrum.