Implementation of an efficient analytical approximation to the Voigt function for photoemission lineshape analysis

McLean, A. B.; Mitchell, C.E.J.; Swanston, D. M.

doi:10.1016/0368-2048(94)02189-7

Cited by 127 publications

(64 citation statements)

References 14 publications

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“…Several accurate algorithms of the Faddeeva function can be used to calculate C V [11], but in practice it is worthwhile to have another approach of evaluation that allows a greater computational speed. Recently, an efficient analytical approximation has been reported for the Voigt function [10,13,14]. The expression based on generalized Lorentzians is the following: Kðx; yÞ ffi…”

Section: Causal Voigt Profilementioning

confidence: 99%

Causal Voigt profile for modeling reflectivity spectra of glasses

Meneses

Gruener

Malki

et al. 2005

Journal of Non-Crystalline Solids

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Section: Causal Voigt Profilementioning

confidence: 99%

Causal Voigt profile for modeling reflectivity spectra of glasses

Meneses

Gruener

Malki

et al. 2005

Journal of Non-Crystalline Solids

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“…As shown in Fig. 3, the Voigt profile generated by convolving the Lorentzian and the Gaussian profile is in very good agreement with the Voigt profile generated by the analytic approximation method given by [28]. D. Dynamic measurement of methane at phase-quadrature modulation frequency The system was first set up to operate at the phase-quadrature point so that the RAM signal is maximized.…”

Section: Inference Of Methane Concentrationmentioning

confidence: 79%

“…At low pressures Gaussian line shape is more accurate but at higher pressures, more than some hundreds of mbar, Lorentzian profile is a better approximation [27]. A Voigt profile obtained by numerically convolving a Lorentzian and a Gaussian profile or by using an analytical approximation method given by [28], tends to the Lorentzian profile at high pressures and to Doppler or Gaussian at low pressures. As shown in Fig.…”

Section: Inference Of Methane Concentrationmentioning

confidence: 96%

Rapid detection of methane, carbon dioxide and ammonia for harsh environments using tunable doide laser spectroscopy

Upadhyay¹,

Dighe²,

Chakraborty³

2013

2013 International Conference on Microwave and Photonics (ICMAP)

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This paper reports time-varying and simultaneous detection of the pressure and concentration, of hazardous gases such as methane, carbon dioxide and ammonia using tunable diode laser spectroscopy (TDLS). The concentration and pressure of the gases is extracted with a time resolution of 10s, which makes this method useful in applications that require in situ, real-time measurements of several gases. A calibration-free wavelength modulation spectroscopy (WMS) approach known as the Residual Amplitude Modulation (RAM) method has been used at a modulation frequency when intensity modulation (IM)is at phase-quadrature to the frequency modulation (FM). TDLS offers the dual advantage of remote detection of gases and quantification of gas parameters. This makes them ideally suited to hazardous environments such as coal mines.

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“…The metabolite line shapes resulting from the Fourier transformation (FT) of the time domain data will be a Gaussian broadening (convolution) of the intrinsically Lorentzian peaks. Such a convolution is well known to produce a Voigt line shape, a familiar profile in spectral line shape analyses (3)(4)(5). The normalized Voigt line shape (6) as a function of frequency f, is given as…”

Section: Introductionmentioning

confidence: 99%

“…Previously, accurate Voigt approximations were developed (3,5,(7)(8)(9) and one such approximation, VЈ( f ) utilizes a linear combination of normalized Lorentzian L( f ), and Gaussian G( f ), functions given as…”

Section: Introductionmentioning

confidence: 99%