Computation of Dispersive Fourier Interferograms for Gases in the Visible Wavenumber Range

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Abstract
Simulation techniques are used to study the capability of dispersive Fourier transform spectroscopy (DFTS). Dispersive interferograms in the visible are calculated numerically in a simple way using the model of an ideal two-beam interferometer with the sample gas of complex refractive index [ncirc](σ) in the fixed arm. Non-absorbing as well as artificially absorbing nitrogen (N2) is considered as a model gas. The non-absorbing species is investigated under different ‘experimental’ conditions (different spectral apparatus functions and different wavenumbers σm of the modulating light). In addition, the inverse Fourier transformation of dispersive interferograms is discussed with reference to common transform techniques (apodization, fast Fourier transform) and ‘experimental’ disturbances of the interferograms.

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