| 释义 |
Dawson's IntegralAn Voigt lineshape: 
 | (1) |
 | (2) |
where  is the Erf function and  is the imaginary error function Erfi.  isillustrated in the left figure above, and  in the right figure.  has a maximum at  , or
 | (5) |
 | (6) |
 , or
 | (7) |
 | (8) |
References
Abramowitz, M. and Stegun, C. A. (Eds.). Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, 9th printing. New York: Dover, p. 298, 1972.Press, W. H.; Flannery, B. P.; Teukolsky, S. A.; and Vetterling, W. T. ``Dawson's Integrals.'' §6.10 in Numerical Recipes in FORTRAN: The Art of Scientific Computing, 2nd ed. Cambridge, England: Cambridge University Press, pp. 252-254, 1992. Spanier, J. and Oldham, K. B. ``Dawson's Integral.'' Ch. 42 in An Atlas of Functions. Washington, DC: Hemisphere, pp. 405-410, 1987. |
