Evaluation of the Asymmetric Voigt Profile and Complex Error Functions in Terms of the Kummer Functions

• Authors: H. Di Rocco , M. Aguirre Téllez
• Languages of publication: EN

Abstracts

EN

In this work we present the explicit representations of the Voigt function K(a,b) (the convolution between a Gaussian and a Lorentzian function), the function N(a,b) defined as the convolution of Gaussian and dispersion distributions as well as the complex error function erf(a+ib), all in terms of the Kummer functions M(α,γ,a^2). The expansions are valid for all values of the parameter a (the relation between Lorentzian and Gaussian widths at the half maxima). Previous analytical works were known only when the parameter a≤1, or were based on numerical interpolations or empirical approximations. Also, new series and asymptotic expansions are presented.

Keywords

EN

32.70.Jz; 33.70.Jg; 34.20.Cf

Discipline

• 34.20.Cf: Interatomic potentials and forces
• 32.70.Jz: Line shapes, widths, and shifts
• 33.70.Jg: Line and band widths, shapes, and shifts

• Journal: Acta Physica Polonica A
• Year: 2004
• Volume: 106
• Issue: 6
• Pages: 817-826

Dates

published

2004-12

received

2004-08-16

(unknown)

2004-10-19

Contributors

author

H. Di Rocco

• Instituto de Fì sica Arroyo Seco and Núcleo de Matemática Pura y Aplicada, Facultad de Ciencias Exactas, Universidad Nacional del Centro, Pinto 399, 7000 Tandil, Argentina

author

M. Aguirre Téllez

• Instituto de Fì sica Arroyo Seco and Núcleo de Matemática Pura y Aplicada, Facultad de Ciencias Exactas, Universidad Nacional del Centro, Pinto 399, 7000 Tandil, Argentina

References

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Identifiers

DOI

10.12693/APhysPolA.106.817