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Optica Publishing Group
  • Applied Spectroscopy
  • Vol. 31,
  • Issue 5,
  • pp. 471-472
  • (1977)

Upper Boundaries to the Extent of the Jacquinot or Throughput Advantage in Fourier Transform Infrared Spectroscopy

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Abstract

The typical Fourier transform infrared (FT-ir) spectrometer has a huge light gathering power advantage over grating spectrometers of similar resolution. This advantage, called the throughput or Jacquinot advantage, is given by <i>T</i><sub>FT</sub>/<i>T</i><sub>G</sub> = 2π<i>F</i>/<i>l</i> where T<sub><i>FT</i></sub> and T<sub>G</sub> are the FT-ir and grating instrument throughput, and <i>F</i> and <i>l</i> are the focal length and slit height of the latter. For practical instruments T<sub><i>FT</i></sub>/T<sub><i>G</i></sub> &ap; 100 to 200. Here we have <i>T</i><sub>FT</sub> = 2π<i>A</i><sub>M</sub>/<i>R</i> = π<sup>2</sup>/2 <i>d</i><sub>B</sub><sup>2</sup>/<i>R</i> where A<sub><i>M</i></sub> is the interferometer beamsplitter area, d<sub><i>B</i></sub> its diameter, and <i>R</i> the resolution. At first glance it would appear that T<sub><i>FT</i></sub> can be enlarged for any given <i>R</i> by taking d<sub><i>B</i></sub> up to its technological limit. Even higher throughputs are possible in field-widened FTS spectrometers.

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