Lineshape determination using multiple pathlengths in Fourier transform interferometers

Computer Science

Scientific paper

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Scientific paper

In Fourier transform spectroscopy degradation in spectral resolution and the introduction of false spectral features (`feet') both result from the limited optical pathlength used by a real instrument. This work describes a quantitative relationship between the truncation length of an interferogram and the distortion of the computed halfwidth for the three most common spectral shapes: Gaussian, Lorentzian, and Voigt profiles. The technique can also be used to aid in the alignment and calibration of a Fourier transform interferometer by deriving a calculated truncated interferogram lineshape of a `known' spectral line to compare with the lineshape actually produced by the instrument.

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