How does sensor-wise N-BANDS relate to the of area of feasible solutions?

Background: The method of sensor-wise N-BANDS aims to compute the envelope of the range of the feasible concentration profiles and the envelope of the range of the feasible spectral profiles. These envelopes are obtained by a sensor-wise maximization and minimization for each chemical species. They describe the rotational ambiguity which can also be explored by the area of feasible solutions. In this paper the results of sensor-wise N-BANDS are compared with the area of feasible solutions.

Results: Profiles in which sensor-wise N-BANDS takes point-wise extrema are shown to correspond to the boundary of the area of feasible solutions.

Significance: Sensor-wise N-BANDS is proven to correctly describe certain extremal AFS properties without any restrictions on the number of chemical species.