Chemical
imaging combines the spatial specificity of optical microscopy
with the spectral selectivity of vibrational spectroscopy. Mid-infrared
(IR) absorption imaging instruments are now able to capture high-quality
spectra with microscopic spatial detail, but the limits of their ability
to resolve spatial and spectral objects remain less understood. In
particular, the sensitivity of measurements to chemical and spatial
changes and rules for optical design have been presented, but the
influence of spectral information on spatial sensitivity is as yet
relatively unexplored. We report an information theory-based approach
to quantify the spatial localization capability of spectral data in
chemical imaging. We explicitly consider the joint effects of the
signal-to-noise ratio and spectral separation that have significance
in experimental settings to derive resolution limits in IR spectroscopic
imaging.