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

• Authors: H. Di Rocco , A. Cruzado
• 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. μ is obtained as a function of a, a being the ratio of the Lorentz width to the Gaussian width. We find that, the Voigt function calculated with the expression we have obtained for μ, deviates from the exact value less than 0.5% with respect to the peak value.

Keywords

EN

32.70.-n; 32.70.Jz

Discipline

• 32.70.Jz: Line shapes, widths, and shifts
• 32.70.-n: Intensities and shapes of atomic spectral lines(see also 31.15.-p Calculations and mathematical techniques)

• Publisher: Institute of Physics, Polish Academy of Sciences
• Journal: Acta Physica Polonica A
• Year: 2012
• Volume: 122
• Issue: 4
• Pages: 666-669

Dates

published

2012-10

received

2011-12-20

(unknown)

2012-03-06

(unknown)

2012-05-24

Contributors

author

H. Di Rocco

• Instituto de Física Arroyo Seco (IFAS), Universidad Nacional del Centro de la Pcia. de Buenos Aires, Pinto 399, 7000 Tandil, Buenos Aires, Argentina
• Consejo Nacional de Investigaciones Científicas y Técnicas (CONICET) Rivadavia 1917, C1033AAJ Buenos Aires, Argentina

author

A. Cruzado

• 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] J.L. Kielkopf, J. Opt. Soc. Am. 63, 987 (1973)
• [2] Y. Liu, J. Lin, G. Huang, Y. Guo, C. Duan, J. Opt. Soc. Am. B 18, 666 (2001)
• [3] H.O. Di Rocco, D.I. Iriarte, J.A. Pomarico, Appl. Spectrosc. 55, 822 (2001)

Identifiers

DOI

10.12693/APhysPolA.122.666