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Unformatted text preview: Fourier Transform Infrared Spectrometer 7 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 λ , and λ is the freespace wavelength. A particular optical source emits a Gaussian spec- trum. The spectrum is represented by B ( k ) = e- (2 k/ Δ k ) 2 where k is the wavevector magnitude ( k = 2 π/λ = 2 π v ) and Δ k is the wavevector bandwidth. This spectrum is shown below. For this spectrum, calculate, showing all work, the interferogram, I ( δ ), produced by the FTIR for this spectrum, where δ is the optical path difference between the two arms of the Michelson interferometer. Simplify your answer forthe Michelson interferometer....
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- Spring '08
- Wavelength, Michelson interferometer, Fourier transform spectroscopy, Fourier Transform Infrared