By John R. Ferraro and Louis J. Basile (Eds.)
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Extra info for Fourier Transform Infrared Spectra. Applications to Chemical Systems
6. l, digitization of the retardation axis of the interferogram results in the detector signal being sampled at finite intervals David W. Green and Gerald T. Reedy 34 Ax. To understand how digitization of the interferogram affects the calculated spectrum, we can consider the digitization of the interferogram to result from the multiplication of the undigitized interferogram with a "comb function" of spacing Ax as shown in Fig. 13. To evaluate the Fourier transform of the digitized interferogram shown at the right, we can apply the convolution the theorem used previously.
New systems may well be developed based on tuned sources (or detectors) which exceed the performance capabilities of interferometer or grating instruments in resolution and sensitivity (see, for example, Mumma et al, 1975). For the purposes of the following discussion, we will compare the Fourier transform spectrometer only with a grating instrument. 2. Black Box Phobia—User Orientation In the fourteenth century, William of Ockham reportedly first enunciated a principle which says that if two theories are equally suited to the explanation of a phenomenon but one possesses the virtue of simplicity, we should choose the one of greater simplicity.
However, because of a number of complicating factors, this is not generally true for an FT-IR interferogram. The interferogram is not symmetric around the strong peak at zero pathlength difference because not all of the frequency components of the wave reach their maxima at exactly the same time. The sinusoidal frequency components of the interferogram may not be in phase at zero retardation owing to improper construction of the beam splitter which causes short wavelengths to be advanced or retarded with respect to long wavelengths, or owing to a frequency-dependent delay in phase introduced by the detector, amplifiers, or electronic filters.