We detail the theoretical description of a modern optical stellar interferometer by studying the addition of spectral capabilities in such instruments. We give what we believe is the first complete formalism to describe such an interferometer operating in the visible where the fringe signal from large telescope apertures is recorded at the output of a spectrograph. The dispersed-fringes mode and the multichromatic modes are detailed analytically in terms of spectral density and visibility analysis. All the theoretical results are validated through numerical simulation.
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Bério et al. (1999) studied this question.
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