Optical gas detection in microsystems is limited by the short micron scale optical path length available. Recently, the concept of slow-light enhanced absorption has been proposed as a route to compensate for the short path length in miniaturized absorption cells. We extend the previous perturbation theory to the case of a Bragg stack infiltrated by a spectrally strongly dispersive gas with a narrow and distinct absorption peak. We show that considerable signal enhancement is possible. As an example, we consider a Bragg stack consisting of PMMA infiltrated by O_(2). Here, the required optical path length for visible to near-infrared detection (approx760 nm) can be reduced by at least a factor of 10~(2), making a path length of 1 mm feasible. By using this technique, optical gas detection can potentially be made possible in microsystems.
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