Rapid and accurate calculation of the Voigt function

Journal of Quantitative Spectroscopy and Radiative Transfer

Volumn 107, Issue 1, 2007, Pages 173-192

  Letchworth, Kendra L ^a   Benner, D Chris ^a  

^a William and Mary   (United States)

Author keywords

Voigt function

Indexed keywords

APPROXIMATION THEORY; NORMAL DISTRIBUTION; PROBABILITY DENSITY FUNCTION; PROBABILITY DISTRIBUTIONS; RADIATIVE TRANSFER;

SPECTRAL LINE SHAPES; VOIGT FUNCTION;

STATISTICAL OPTICS;

ALGORITHM; SPECTROSCOPY;

EID: 34247501643     PISSN: 00224073     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jqsrt.2007.01.052     Document Type: Article

References (22)

1. Thompson W.J. Numerous neat algorithms for the Voigt profile function. Comput Phys 7 (1993) 627-631
2. 2 and air broadening in the fundamental bands of HF and HCl. J Mol Spectrosc 122 (1987) 41-55
3. Levy A., Lacome N., and Chackerian C. Collisional line mixing. In: Rao K.N., and Weber A. (Eds). Spectroscopy of the earth's atmosphere and interstellar medium (1992), Academic Press, Boston 261-337
4. Benner D.C., Rinsland C.P., Devi V.M., Smith M.A.H., and Atkins D. A multispectrum nonlinear least squares fitting technique. JQSRT 53 (1995) 705-721
5. Schreier F. The Voigt and complex error function: a comparison of computational methods. JQSRT 48 (1992) 743-762
6. Twitty J.T., Rarig P.L., and Thompson R.E. A comparison of fast codes for the evaluation of the Voigt profile function. JQSRT 24 (1980) 529-532
7. Klim A. A comparison of methods for the calculation of Voigt profiles. JQSRT 26 (1981) 537-545
8. 2 4-0 S(1) quadrupole line strength and pressure shift. Astrophys J 235 (1980) L177-L178
9. Washenfelder R.A., Toon G.C., Blavier J.-F., Yang Z., Allen N.T., Wennberg P.O., et al. Carbon dioxide column abundances at the Wisconsin Tall Tower site. J Geophys Res 111 (2006) D22305 10.1029/2006JD007154
10. Drayson S.R. Rapid calculation of the Voigt profile. JQSRT 16 (1976) 611-614
11. Humlíček J. Optimized computation of the Voigt and complex probability functions. JQSRT 27 (1982) 437-444
12. Gordley L.L., Russell J.M., Mickley L.J., Frederick J.E., Park J.H., Stone K.A., et al. Validation of nitric oxide and nitrogen dioxide measurements made by HALOE for the UARS platform. J Geophys Res D 101 (1996) 10241-10266
13. Pierluissi J.H., Vanderwood P.C., and Gomez R.B. Fast calculational algorithm for the Voigt profile. JQSRT 18 (1977) 555-558
14. Wells R.J. Rapid approximation to the Voigt/Faddeeva function and its derivatives. JQSRT 62 (1999) 29-48
15. Abramowitz M., and Stegen I.A. Handbook of mathematical functions (1964), National Bureau of Standards, New York
16. 2 Q branch observed with a tunable diode laser. J Chem Phys 86 (1987) 5722-5730
17. Armstrong B.H. Spectrum line profiles: the Voigt function. JQSRT 7 (1967) 61-88
18. Drummond J.R., and Steckner M. Voigt-function evaluation using a two-dimensional interpolation scheme. JQSRT 34 (1985) 517-521
19. Norton R.H., and Rinsland C.P. ATMOS data processing and science analysis methods. Appl Opt 30 (1991) 389-400
20. de Boor C. On writing an automatic integration algorithm. In: Rice JR. editor. Mathematical software New York: Academic Press; 1971 p. 201-9, 430-449.
21. Maple 9. Waterloo, Ontario: Maplesoft, a Division of Waterloo Maple Inc., 2003.
22. Stewart J. Multivariable calculus. 5th ed (2003), Brooks/Cole-Thomson Learning, Belmont [Chapter 15]