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2012 | 122 | 4 | 670-673
Article title

The Voigt Profile as a Sum of a Gaussian and a Lorentzian Functions, when the Weight Coefficient Depends on the Widths Ratio and the Independent Variable

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Languages of publication
EN
Abstracts
EN
Assuming that V(x) ≈ (1 - μ) G_1(x) + μ L_1(x) is a very good approximation of the Voigt function, in this work we analytically find μ from mathematical properties of V(x). G_1(x) and L_1(x) represent a Gaussian and a Lorentzian function, respectively, with the same height and HWHM as V(x), the Voigt function, x being the distance from the function center. In this paper we extend the analysis that we have done in a previous paper, where μ is only a function of a; a being the ratio of the Lorentz width to the Gaussian width. Using one of the differential equation that V(x) satisfies, in the present paper we obtain μ as a function, not only of a, but also of x. Kielkopf first proposed μ (a, x) based on numerical arguments. We find that the Voigt function calculated with the expression μ (a, x) we have obtained in this paper, deviates from the exact value less than μ(a) does, specially for high |x| values.
Keywords
EN
Publisher

Year
Volume
122
Issue
4
Pages
670-673
Physical description
Dates
published
2012-10
received
2011-12-20
(unknown)
2012-03-06
(unknown)
2012-05-24
Contributors
author
  • Instituto de Física Arroyo Seco (IFAS), Universidad Nacional del Centro de la Pcia. de Buenos Aires Πnto 399, 7000 Tandil, Buenos Aires, Argentina
  • Consejo Nacional de Investigaciones Científicas y Técnicas (CONICET) Rivadavia 1917, C1033AAJ Buenos Aires, Argentina
author
  • Facultad de Ciencias Astronómicas y Geofísicas, Universidad Nacional de La Plata, Paseo del Bosque s/n, 1900 La Plata, Buenos Aires, Argentina
  • Instituto de Astrofísica de La Plata (IALP-CONICET), Paseo del Bosque s/n, 1900 La Plata, Buenos Aires, Argentina
References
  • [1] H.O. Di Rocco, A. Cruzado, Acta Phys. Pol. A 122, 666 (2012)
  • [2] H.O. Di Rocco, D.I. Iriarte, J.A. Pomarico, Appl. Spectrosc. 55, 822 (2001)
  • [3] J.L. Kielkopf, J. Opt. Soc. Am. 63, 987 (1973)
  • [4] R. Ciurylo, J. Domyslawska, R.S. Trawinski, Acta Phys. Pol. A 83, 425 (1993)
  • [5] T. Andersen, J. Quant. Spectrosc. Radiat. Transfer 19, 169 (1978)
  • [6] Y. Liu, J. Lin, G. Huang, Y. Guo, C. Duan, J. Opt. Soc. Am. B 18, 666 (2001)
Document Type
Publication order reference
Identifiers
YADDA identifier
bwmeta1.element.bwnjournal-article-appv122n406kz
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