Reconstruction of continuous spectra by the regularization method using model spectra
Optics and Spectroscopy, ISSN: 1562-6911, Vol: 117, Issue: 6, Page: 1010-1017
2014
- 6Citations
- 2Captures
Metric Options: CountsSelecting the 1-year or 3-year option will change the metrics count to percentiles, illustrating how an article or review compares to other articles or reviews within the selected time period in the same journal. Selecting the 1-year option compares the metrics against other articles/reviews that were also published in the same calendar year. Selecting the 3-year option compares the metrics against other articles/reviews that were also published in the same calendar year plus the two years prior.
Example: if you select the 1-year option for an article published in 2019 and a metric category shows 90%, that means that the article or review is performing better than 90% of the other articles/reviews published in that journal in 2019. If you select the 3-year option for the same article published in 2019 and the metric category shows 90%, that means that the article or review is performing better than 90% of the other articles/reviews published in that journal in 2019, 2018 and 2017.
Citation Benchmarking is provided by Scopus and SciVal and is different from the metrics context provided by PlumX Metrics.
Example: if you select the 1-year option for an article published in 2019 and a metric category shows 90%, that means that the article or review is performing better than 90% of the other articles/reviews published in that journal in 2019. If you select the 3-year option for the same article published in 2019 and the metric category shows 90%, that means that the article or review is performing better than 90% of the other articles/reviews published in that journal in 2019, 2018 and 2017.
Citation Benchmarking is provided by Scopus and SciVal and is different from the metrics context provided by PlumX Metrics.
Article Description
The inverse problem of spectroscopy—reconstruction of continuous spectra by solving the Fredholm integral equation of the first kind (an ill-posed problem)—is considered. The equation is solved by the Tikhonov regularization method using the method of computational experiments, according to which, along with initial example P, where experimental spectrum u is specified and true spectrum z is sought for, “similar” model example spectrum Q (or several examples) with specified z and modeled u is processed with allowance for additional information on true spectrum z in example P. This approach makes it possible to choose regularization parameter α and estimate the error in reconstructing spectrum z in example P. Some numerical illustrations are presented. Different response functions of spectrometers are considered: slotlike, triangular, diffraction, Gaussian, dispersion, and exponential; identical widths a(λ) at a level of 0.5 and identical integral widths W(λ) are used.
Bibliographic Details
http://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=84913549186&origin=inward; http://dx.doi.org/10.1134/s0030400x14110162; http://link.springer.com/10.1134/S0030400X14110162; http://link.springer.com/content/pdf/10.1134/S0030400X14110162; http://link.springer.com/content/pdf/10.1134/S0030400X14110162.pdf; http://link.springer.com/article/10.1134/S0030400X14110162/fulltext.html; https://dx.doi.org/10.1134/s0030400x14110162; https://link.springer.com/article/10.1134/S0030400X14110162
Pleiades Publishing Ltd
Provide Feedback
Have ideas for a new metric? Would you like to see something else here?Let us know