Error minimization apparatus and method for real-time spectral d

Optics: measuring and testing – By dispersed light spectroscopy

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356328, 364498, G01J 328

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active

055859194

ABSTRACT:
An apparatus and method are described for determining the relative concentrations of the N constituent chemical components of a chemical combination. The spectral response, C.sub.i, of the composite sample is measured at M wavelengths .lambda..sub.i, wherein M.gtoreq.N. The relative concentration of the jth constituent is X.sub.j. The spectral response of the jth component at wavelength .lambda..sub.i is A.sub.ij. the set of M equations ##EQU1## have intersections defining values of X.sub.j of which only those within the region defined by 0.ltoreq.X.sub.j are possible values of X.sub.j. An error is assigned to each intersections and the intersection of minimum error defines the values of X.sub.j. Such a determination is rapid. A profile of each of the relative concentration X.sub.j in the sample is readily and rapidly determined.

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