2019/02/01 by Péter Török, Matthew R. Foreman, Török, Peter +1 · 1 citation
Biochemistry, Genetics and Molecular Biology · Chemistry · Engineering · #FOS: Physical sciences #Instrumentation and Detectors (physics.ins-det) #Optical Polarization and Ellipsometry #Optics (physics.optics) #Spectroscopy Techniques in Biomedical and Chemical Research #Spectroscopy and Chemometric Analyses
paper · pdf · doi:10.48550/arxiv.1902.01221
openalex publication_date 2019/02/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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 pixellation and a finite detector size are also considered.