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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN 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)
http://dx.doi.org/10.1364/AO.22.003599


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Abstract

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

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

Citation
Keiji Sasaki, Satoshi Kawata, and Shigeo Minami, "Constrained nonlinear method for estimating component spectra from multicomponent mixtures," Appl. Opt. 22, 3599-3603 (1983)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-22-22-3599

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