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Precision and informational limits in inelastic optical spectroscopy
Using Fisher information and the Cramér-Rao lower bound, we analyse fundamental precision limits in the determination of spectral parameters in inelastic optical scattering. General analytic formulae are derived which account for the instrument response functions of the dispersive element and relay...
Autores principales: | , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
Nature Publishing Group UK
2019
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Materias: | |
Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6468005/ https://www.ncbi.nlm.nih.gov/pubmed/30992485 http://dx.doi.org/10.1038/s41598-019-42619-7 |
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author | Török, Peter Foreman, Matthew R. |
author_facet | Török, Peter Foreman, Matthew R. |
author_sort | Török, Peter |
collection | PubMed |
description | Using Fisher information and the Cramér-Rao lower bound, we analyse fundamental precision limits in the determination of spectral parameters in inelastic optical scattering. General analytic formulae are derived which account for the instrument response functions of the dispersive element and relay optics found in practical Raman and Brillouin spectrometers. Limiting cases of dispersion and diffraction limited spectrometers, corresponding to measurement of Lorentzian and Voigt lineshapes respectively, are discussed in detail allowing optimal configurations to be identified. Effects of defocus, spherical aberration, detector pixelation and a finite detector size are also considered. |
format | Online Article Text |
id | pubmed-6468005 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2019 |
publisher | Nature Publishing Group UK |
record_format | MEDLINE/PubMed |
spelling | pubmed-64680052019-04-23 Precision and informational limits in inelastic optical spectroscopy Török, Peter Foreman, Matthew R. Sci Rep Article Using Fisher information and the Cramér-Rao lower bound, we analyse fundamental precision limits in the determination of spectral parameters in inelastic optical scattering. General analytic formulae are derived which account for the instrument response functions of the dispersive element and relay optics found in practical Raman and Brillouin spectrometers. Limiting cases of dispersion and diffraction limited spectrometers, corresponding to measurement of Lorentzian and Voigt lineshapes respectively, are discussed in detail allowing optimal configurations to be identified. Effects of defocus, spherical aberration, detector pixelation and a finite detector size are also considered. Nature Publishing Group UK 2019-04-16 /pmc/articles/PMC6468005/ /pubmed/30992485 http://dx.doi.org/10.1038/s41598-019-42619-7 Text en © The Author(s) 2019 Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons license, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons license and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/. |
spellingShingle | Article Török, Peter Foreman, Matthew R. Precision and informational limits in inelastic optical spectroscopy |
title | Precision and informational limits in inelastic optical spectroscopy |
title_full | Precision and informational limits in inelastic optical spectroscopy |
title_fullStr | Precision and informational limits in inelastic optical spectroscopy |
title_full_unstemmed | Precision and informational limits in inelastic optical spectroscopy |
title_short | Precision and informational limits in inelastic optical spectroscopy |
title_sort | precision and informational limits in inelastic optical spectroscopy |
topic | Article |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6468005/ https://www.ncbi.nlm.nih.gov/pubmed/30992485 http://dx.doi.org/10.1038/s41598-019-42619-7 |
work_keys_str_mv | AT torokpeter precisionandinformationallimitsininelasticopticalspectroscopy AT foremanmatthewr precisionandinformationallimitsininelasticopticalspectroscopy |