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Apodization and Phase Correction

  • John E. Bertie
Conference paper
Part of the NATO Advanced Study Institutes Series book series (ASIC, volume 57)

Abstract

Consider the Michelson Interferometer shown in Fig. 1 to be perfectly aligned. The intensity, Io(x), of radiation that reaches the detector when the path-difference between the two arms of the interferometer is x is given by
$$I(x) = \int\limits_0^\infty {{I_o}(k) \cdot T(k) \cdot S(k)(1 + \cos 2\pi kx)dk;} $$
(1)
(1) k is the wavenumber of the radiation in the gas, or vacuum, which fills the dashed box in Fig. 1; I0(k) is the intensity of radiation emitted by the source at wavenumber k; S(k) is the transmittance of the sample at wavenumber k; and T(k) is the part of the transmittance of the instrument that is independent of path difference. For many purposes, Eq. 1 can be abbreviated to
$$I(x) = \int\limits_0^\infty {A(k)(1 + \cos 2\pi kx)dk} $$
(2)
. (2)

Keywords

Fourier Transform Central Peak Phase Correction Path Difference Michelson Interferometer 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© D. Reidel Publishing Company 1980

Authors and Affiliations

  • John E. Bertie
    • 1
  1. 1.Department of ChemistryUniversity of AlbertaEdmontonCanada

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