ENHANCING INFRARED-SPECTRA BY FOURIER DECONVOLUTION USING THE CAUCHY-GAUSS PRODUCT FUNCTION

The method of Fourier deconvolution using Cauchy-Gauss product functions is being developed that allows the enhancing of experimental infrared spectra more adequately than with Cauchy (or Lorentz) functions. The mathematical development to obtain the Fourier transform of the product function is given. Two methods can be used to obtain the inverse Fourier transform of line shape functions: an analytical and a numerical method. The numerical method gives some errors which limit the degree of enhancement while the analytical method overcomes these difficulties. The numerical method is the only way to obtain an inverse Fourier transform of an experimental spectrum, and some aliasing is introduced by the algorithm used. The comparison between analytical and numerical methods of enhancing a simulated IR band is done to determine the limit of the procedure. The IR carbonyl band of methyl acetate is used as an example to show the effectiveness of the procedure described.