Abstract
We consider the threshold signal-to-noise ratio for several optical designs appropriate to beam-foil spectroscopy. Calculation of signal-to-noise ratios is complicated by the strong Doppler effect associated with the high unidirectional velocity of the emitting ions. The Doppler effect introduces an unusual coupling of spectral resolution and signal strength which requires modifications to the accepted methods for optimizing these parameters for weak sources. The discussion includes results on the side-on, end-on, and axicon systems, as well as modifications to the side-on system using anamorphic elements or auxiliary mirrors.
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