document: Study of ambiguities inherent to the spectral analysis of Voigt profiles-a modified Simplex approach In pulsed spectrometries , temporal transients are often analyzed directly in the temporal domain , assuming they consist only of purely exponentially decaying sinusoids . When experimental spectra actually consist of Gaussian or Voigt profiles -LRB- Gauss-Lorentz profiles -RRB- , we show that the direct methods may erroneously interpret such lines as the sum of two or more Lorentzian profiles . Using a Nelder and Mead Simplex method , modified by introducing new means to avoid degeneracies and quenchings in secondary minima , we demonstrate that a large number of different solutions can be obtained with equivalent accuracy over the limited acquisition time interval , with final peak parameters devoid of physical or chemical meaning
doc_bio_tags: O O O O O O B I O O O O O O O B I O B I O O O O O O O O O O O O O O O O O O O O O O O O O O O B I O O O O O O O O O O O O O O O O O O O O O O O O O O O O B I I I I O O O O O O O O O O O O O O O O O O O O O O O O O O O O O B O O B I I I O O B I I O O O O O O
extractive_keyphrases: pulsed spectrometries temporal transients spectral analysis voigt profiles nelder and mead simplex method accuracy limited acquisition time interval final peak parameters
abstractive_keyphrases: gaussian profiles gauss-lorentz profiles