skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: A Comparison of Different Methods of Separation of Continuous Overlapping Spectral Lines

Abstract

Several methods of separation of continuous overlapping spectral lines are compared. In the majority of methods, the profile of each line is modeled by a Gaussian or Lorentzian, and total measured spectrum z is processed. Number of lines N and their parameters are usually estimated by the method of derivatives; however, the differentiation of noisy spectrum z causes large errors. To improve the differentiation accuracy, it is proposed to use smoothing splines. In the Fourier-self-deconvolution method, apodization (artificial truncation of the interferogram) is used to resolve overlapping lines, which makes it possible to resolve lines, but at the expense of a significant decrease in their widths. In this work, reducing the widths of lines is not used for their resolution, but rather, true line profiles are reconstructed by minimizing the residual functional with the modified coordinate-descent method using the decremental-constraint technique, and also, for comparison, with the Nelder–Mead simplex method. In the Manoilov method, the parameters of lines (peaks) are determined from convolutions of spectrum derivatives with individual peaks. In that method, the notion of the degree of overlap has been also introduced. In this work, we introduce a generalized degree of overlap for the case in which the amplitudes,more » widths, and spacings between neighboring lines are different. Numerical illustrations are presented.« less

Authors:
;  [1]
  1. ITMO University (Russian Federation)
Publication Date:
OSTI Identifier:
22786416
Resource Type:
Journal Article
Journal Name:
Optics and Spectroscopy
Additional Journal Information:
Journal Volume: 124; Journal Issue: 6; Other Information: Copyright (c) 2018 Pleiades Publishing, Ltd.; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0030-400X
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ACCURACY; AMPLITUDES; DATA PROCESSING; LINE WIDTHS; PEAKS; RESOLUTION; SPECTRA

Citation Formats

Sizikov, V. S., E-mail: sizikov2000@mail.ru, and Lavrov, A. V., E-mail: lavrov@corp.ifmo.ru. A Comparison of Different Methods of Separation of Continuous Overlapping Spectral Lines. United States: N. p., 2018. Web. doi:10.1134/S0030400X1806022X.
Sizikov, V. S., E-mail: sizikov2000@mail.ru, & Lavrov, A. V., E-mail: lavrov@corp.ifmo.ru. A Comparison of Different Methods of Separation of Continuous Overlapping Spectral Lines. United States. https://doi.org/10.1134/S0030400X1806022X
Sizikov, V. S., E-mail: sizikov2000@mail.ru, and Lavrov, A. V., E-mail: lavrov@corp.ifmo.ru. Fri . "A Comparison of Different Methods of Separation of Continuous Overlapping Spectral Lines". United States. https://doi.org/10.1134/S0030400X1806022X.
@article{osti_22786416,
title = {A Comparison of Different Methods of Separation of Continuous Overlapping Spectral Lines},
author = {Sizikov, V. S., E-mail: sizikov2000@mail.ru and Lavrov, A. V., E-mail: lavrov@corp.ifmo.ru},
abstractNote = {Several methods of separation of continuous overlapping spectral lines are compared. In the majority of methods, the profile of each line is modeled by a Gaussian or Lorentzian, and total measured spectrum z is processed. Number of lines N and their parameters are usually estimated by the method of derivatives; however, the differentiation of noisy spectrum z causes large errors. To improve the differentiation accuracy, it is proposed to use smoothing splines. In the Fourier-self-deconvolution method, apodization (artificial truncation of the interferogram) is used to resolve overlapping lines, which makes it possible to resolve lines, but at the expense of a significant decrease in their widths. In this work, reducing the widths of lines is not used for their resolution, but rather, true line profiles are reconstructed by minimizing the residual functional with the modified coordinate-descent method using the decremental-constraint technique, and also, for comparison, with the Nelder–Mead simplex method. In the Manoilov method, the parameters of lines (peaks) are determined from convolutions of spectrum derivatives with individual peaks. In that method, the notion of the degree of overlap has been also introduced. In this work, we introduce a generalized degree of overlap for the case in which the amplitudes, widths, and spacings between neighboring lines are different. Numerical illustrations are presented.},
doi = {10.1134/S0030400X1806022X},
url = {https://www.osti.gov/biblio/22786416}, journal = {Optics and Spectroscopy},
issn = {0030-400X},
number = 6,
volume = 124,
place = {United States},
year = {2018},
month = {6}
}