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A new, exact method for calculating excitonic absorption in superlattices isdescribed. It is used to obtain high resolution spectra showing the saddlepoint exciton feature near the top of the miniband. The evolution of thisfeature is followed through a series of structures with increasing minibandwidth. The Stark ladder of peaks produced by an axial electric field isinvestigated, and it is shown that for weak fields the line shapes are stronglymodified by coupling to continuum states, taking the form of Fano resonances.The calculated spectra, when suitably broadened, are found to be in goodagreement with experimental results.Comment: 9 pages Revtex v3.0, followed by 4 uuencoded postscript figures,  SISSA-CM-94-00

Saddle-Points and Stark Ladders: High-Resolution Calculations of Exciton Spectra in Superlattices