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Unformatted text preview: Fourier Transform Infrared Spectrometer 8 A Fourier Transform InfraRed (FTIR) spectrometer is based on a Michelson in- terferometer. An FTIR spectrometer is capable of determining the spectral content of a light source. This is accomplished by scanning one of the mirrors of the Michelson in- terferometer and recording the output interferogram as a function of the optical path difference between the two interfering beams. In an FTIR, the wavelength of a wave is typically represented by its wavenumber v where v = 1 , and is the freespace wavelength. A particular optical source emits a hyperbolic secant spectrum. The spectrum is represented by B ( k ) = sech ( k/ k ) = 1 cosh ( k/ k ) = 2 e- ( k/ k ) + e +( k/ k ) where k is the wavevector magnitude ( k = 2 / = 2 v ) and k is the wavevector bandwidth. This spectrum is shown below.-8-6-4-2 2 4 6 8 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 Normalized Wavevector magnitude, k/ k Spectrum, B(k) For this spectrum, calculate, showing all work, the interferogram,...
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- Spring '08