A fast method of modeling spectral lines

A fast method of modeling spectral lines is presented. The method utilizes a new approach in generating the Voigt profile using Mathematica(TM). As an example, we consider the hydrogen Rydberg transition lines from the ground state to excited states of n = 32, 33, 34, 35 and 36 at 91.2 nm. Using a Fast Fourier Transform (FFT) method, the observed spectrum is obtained by convoluting the true spectrum with the slit function with a resolution that is twice the Doppler widths of the lines. Furthermore, the true spectrum is deconvoluted from the observed spectrum and is compared with the true transmission. Simulations of an absorption experiment observed with instrumental resolution equal to the Doppler widths and one-half the Doppler width are shown. (C) 2001 Published by Elsevier Science Ltd.