Comments on "A common misunderstanding about the Voigt line profile"

Journal of the Atmospheric Sciences

Volumn 66, Issue 6, 2009, Pages 1860-1864

  Schreier, Franz ^a  

^a GERMAN AEROSPACE CENTER DLR   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 69849099006     PISSN: 00224928     EISSN: None     Source Type: Journal    
DOI: 10.1175/2009JAS2906.1     Document Type: Note

References (28)

1. Abramowitz, M., and I. Stegun, 1964: Handbook of Mathematical Functions. Dover, 1060 pp.
2. Andrews, D., J. Holton, and C. Leovy, 1987: Middle Atmospheric Dynamics. Cambridge University Press, 489 pp.
3. Armstrong, B., 1967: Spectrum line profiles: The Voigt function. J. Quant. Spectrosc. Radiat. Transfer, 7, 61-88, doi:10.1016/ 0022-4073(67)90057-X.
4. Belafhal, A., 2000: The shape of spectral lines: Widths and equivalent widths of the Voigt profile. Opt. Commun., 177, 111-118, doi:10.1016/S0030-4018(00)00564-2.
5. Goody, R., and Y. Yung, 1995: Atmospheric Radiation: Theoretical Basis. 2nd ed. Oxford University Press, 544 pp.
6. Huang, X., and Y. L. Yung, 2004: A common misunderstanding about the Voigt line profile. J. Atmos. Sci., 61, 1630-1632.
7. Hui, A., B. Armstrong, and A. Wray, 1978: Rapid computation of the Voigt and complex error functions. J. Quant. Spectrosc. Radiat. Transfer, 19, 509-516.
8. Humliček, J., 1979: The Voigt function and its derivatives. J. Quant. Spectrosc. Radiat. Transfer, 21, 309-313, doi:10.1016/ 0022-4073(79)90062-1.
9. Humliček, J., 1982: Optimized computation of the Voigt and complex probability function. J. Quant. Spectrosc. Radiat. Transfer, 27, 437-444, doi:10.1016/0022-4073(82)90078-4.
10. Klim, A., 1981: A comparison of methods for the calculation of Voigt profiles. J. Quant. Spectrosc. Radiat. Transfer, 26, 537-545, doi:10.1016/0022-4073(81)90041-8.
11. Kuntz, M., 1997: A new implementation of the Humliček algorithm for the calculation of the Voigt profile function. J. Quant. Spectrosc. Radiat. Transfer, 57, 819-824, doi:10.1016/ S0022-4073(96)00162-8.
12. Liou, K.-N., 1980: An Introduction to Atmospheric Radiation. Academic Press, 392 pp.
13. López-Puertas, M., and F. Taylor, 2001: Non-LTE Radiative Transfer in the Atmosphere. World Scientific, 487 pp.
14. Olivero, J., and R. Longbothum, 1977: Empirical fits to the Voigt line width: A brief review. J. Quant. Spectrosc. Radiat. Transfer, 17, 233-236, doi:10.1016/0022-4073(77)90161-3.
15. Ralston, A., and P. Rabinowitz, 2001: A First Course in Numerical Analysis. Dover, 624 pp.
16. Rothman, L., and Coauthors, 2003: The HITRAN molecular spectroscopic database: edition of 2000 including updates through 2001. J. Quant. Spectrosc. Radiat. Transfer, 82, 5-44, doi:10.1016/ S0022-4073(03)00146-8.
17. Ruyten, W., 2004: Comment on "A new implementation of the Humlicěk algorithm for the calculation of the Voigt profile function" by M. Kuntz. J. Quant. Spectrosc. Radiat. Transfer, 86, 231-233, doi:10.1016/j.jqsrt.2003.12.027.
18. Salby, M. L., 1996: Fundamentals of Atmospheric Physics. Academic Press, 627 pp.
19. Schreier, F., 1992: The Voigt and complex error function: A comparison of computational methods. J. Quant. Spectrosc. Radiat. Transfer, 48, 743-762, doi:10.1016/0022-4073(92)90139-U.
20. Schreier, F., and D. Kohlert, 2008: Optimized implementations of rational approximations - A case study on the Voigt and complex error function. Comput. Phys. Comm., 179, 456-465, doi:10.1016/ j.cpc.2008.04.012.
21. Shippony, Z., and W. Read, 1993: Ahighly accurate Voigt function algorithm. J. Quant. Spectrosc. Radiat. Transfer, 50, 635-646, doi:10.1016/0022-4073(93)90031-C.
22. Shippony, Z., and W. Read, 2003: A correction to a highly accurate Voigt function algorithm. J. Quant. Spectrosc. Radiat. Transfer, 78, 255, doi:10.1016/S0022-4073(02)00169-3.
23. Thomas, G., and K. Stamnes, 1999: Radiative Transfer in the Atmosphere and Ocean. Cambridge University Press, 517 pp.
24. Thompson, W., 1993: Numerous neat algorithms for the Voigt profile function. Comput. Phys., 7, 627-631.
25. Twitty, J., P. Rarig, and R. Thompson, 1980: A comparison of fast codes for the evaluation of the Voigt profile function. J. Quant. Spectrosc. Radiat. Transfer, 24, 529-532, doi:10.1016/ 0022-4073(80)90022-9.
26. Weideman, J., 1994: Computation of the complex error function. SIAM J. Numer. Anal., 31, 1497-1518, doi:10.1137/0731077.
27. Wells, R., 1999: Rapid approximation to the Voigt/Faddeeva function and its derivatives. J. Quant. Spectrosc. Radiat. Transfer, 62, 29-48, doi:10.1016/S0022-4073(97)00231-8.
28. Zdunkowski, W., T. Trautmann, and A. Bott, 2007: Radiation in the Atmosphere - A Course in Theoretical Meteorology. Cambridge University Press, 482 pp.