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4500PF20-3 - Fourier Transform Infrared Spectrometer 8 A...

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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 λ , and λ is the freespace wavelength. A particular optical source emits a hyperbolic secant spectrum. The spectrum is represented by B ( k ) = sech ( k/ Δ k ) = 1 cosh ( k/ Δ k ) = 2 e - ( k/ Δ k ) + e +( k/ Δ k ) 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. -8 -6 -4 -2 0 2 4 6 8 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 Normalized Wavevector magnitude, k/ Δ k Spectrum, B(k) For this spectrum, calculate, showing all work, the interferogram, I ( δ ), produced by the
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  • Spring '08
  • Gaylord
  • Wavelength, Complex number, Michelson interferometer, Fourier transform spectroscopy, Fourier Transform Infrared

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