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Applied Optics

Applied Optics


  • Vol. 22, Iss. 22 — Nov. 15, 1983
  • pp: 3599–3603

Constrained nonlinear method for estimating component spectra from multicomponent mixtures

Keiji Sasaki, Satoshi Kawata, and Shigeo Minami  »View Author Affiliations

Applied Optics, Vol. 22, Issue 22, pp. 3599-3603 (1983)

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A method is described for estimating the spectra of pure components from the spectra of unknown mixtures with various relative concentrations. This method is based on principal component analysis and a constrained nonlinear optimization technique and is applicable to qualitative analysis of mixtures of more than three components. The method gives two curves as the estimate of a component spectrum: one consists of the set of the maxima and the other consists of the set of the minima for all sampling points subject to a priori information. Experimental results of the estimation of the infrared absorption spectra of xylene–isomer mixtures are shown; the noise problem with this method is also discussed.

© 1983 Optical Society of America

Original Manuscript: July 6, 1983
Published: November 15, 1983

Keiji Sasaki, Satoshi Kawata, and Shigeo Minami, "Constrained nonlinear method for estimating component spectra from multicomponent mixtures," Appl. Opt. 22, 3599-3603 (1983)

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