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Imaging spectrometer F-number optimization for remote sensing of gases

Detection of gases by a remote sensor has wide-ranging utility. The optimum sensor design depends on several key characteristics of the scene and imaging geometry. A generalized analysis of the signal-to-noise ratio (SNR) and spatial resolution shows that the optimum sensor F-number depends on the spatial distribution of the gas. Detection of a broad area emission results in a different optimal sensor configuration than when the emission is localized. The optimum F-number also depends on the exposure settings. A parametric analysis shows that detection performance varies between F#-2 and F#4. The results of this paper provide guidance for sensor designers to optimize gas detection by imaging spectrometers.