Notes: An assessment of some closed-form expressions for the Voigt function III: Combinations of the Lorentz and Gauss functions

@article{Schreier2019NotesAA,
  title={Notes: An assessment of some closed-form expressions for the Voigt function III: Combinations of the Lorentz and Gauss functions},
  author={Franz Schreier},
  journal={Journal of Quantitative Spectroscopy and Radiative Transfer},
  year={2019}
}
  • F. Schreier
  • Published 24 January 2019
  • Physics
  • Journal of Quantitative Spectroscopy and Radiative Transfer
View PDF on arXiv
View With Semantic Reader
5 Citations
Background Citations
1

Figures from this paper

5 Citations

Citation Type

Citation Type

Super-accuracy calculation for the width of a Voigt profile
A simple approximation scheme to describe the width of the Voigt profile as a function of the relative contributions of Gaussian and Lorentzian broadening is presented. The proposed approximation…
Accurate Chebyshev Approximations for the Width of the Voigt Profile, Differential Peaks, and Deconvolution of the Lorentzian Width
Line width at half maximum of the Voigt profile in terms of Gaussian and Lorentzian widths: Normalization, asymptotic expansion, and chebyshev approximation
The accuracy and precision of multi-line NO-LIF thermometry in a wide range of pressures and temperatures
Self-subtraction brings consistency to spectral curve fitting

References

SHOWING 1-10 OF 36 REFERENCES
An assessment of some closed-form expressions for the Voigt function II: Utilizing rational approximations for the Gauss function
An assessment of some closed-form expressions for the Voigt function
An expression for an approximation of the Voigt profile I
Generalized Lorentzian approximations for the Voigt line shape.
TLDR
The object of the work reported in this paper was to find a simple and easy to calculate approximation to the Voigt function using the Padé method, which can be used instead of the exact function in experiments that do not require great accuracy.
New approximation to the Voigt function with applications to spectral-line profile analysis
An approximation to the Voigt function is described, which is valid over the entire domain of the independent variables that characterize it and which is accurate to the order of 0.0001 of the peak…
Determination of the Gaussian and Lorentzian content of experimental line shapes
The approximation of the Voigt line shape by the sum of a Gaussian and a Lorentzian of equal width is explored. The relative intensities of these two lines in the approximate function are related to…
An approximation of the Voigt I profile for the fitting of experimental X-ray absorption data
Extended pseudo-Voigt function for approximating the Voigt profile
The formula of the pseudo-Voigt function expressed by a weighted sum of Gaussian and Lorentzian functions is extended by adding two other types of peak functions in order to improve the accuracy when…
Three and four generalized Lorentzian approximations for the Voigt line shape.
TLDR
Three and four generalized Lorentzians in two variables have been obtained to approximate the Voigt function by using the asymptotical Padé method and give a reliable and easily calculable approximation for most of the experimental needs.
Simple empirical analytical approximation to the Voigt profile
A simple empirical analytical approximation to the Voigt profile is proposed as a weighted sum of Lorentzian and Gaussian functions. It is prevalent in the analysis of complicated experimental…
...
1
2
3
4
...