OSA's Digital Library

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


View Full Text Article

Enhanced HTML    Acrobat PDF (562 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

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


Sort:  Author  |  Year  |  Journal  |  Reset  

References

  1. W. H. Lawton, E. A. Sylvestre, Technometrics 13, 617 (1971). [CrossRef]
  2. E. A. Sylvestre, W. H. Lawton, M. S. Maggio, Technometrics 16, 353 (1974). [CrossRef]
  3. D. MacNaughtan, L. B. Rogers, G. Wernimont, Anal. Chem. 44, 1421 (1972). [CrossRef]
  4. M. Warner, G. D. Christian, E. R. Davidson, Anal. Chem. 49, 564 (1977). [CrossRef]
  5. F. J. Knorr, J. H. Futrell, Anal. Chem. 51, 1236 (1979). [CrossRef]
  6. M. A. Sharaf, B. R. Kowalski, Anal. Chem. 54, 1921 (1982). [CrossRef]
  7. N. Ohta, Anal. Chem. 45, 553 (1973). [CrossRef]
  8. T. W. Anderson, An Introduction to Multivariate Statistical Analysis (Wiley, New York, 1958).
  9. J. Kowalik, M. R. Osborne, Methods for Unconstrained Optimization Problems (American Elsevier, New York, 1968).
  10. E. R. Malinowski, Anal. Chem. 49, 606 (1977). [CrossRef]
  11. E. R. Malinowski, Anal. Chem. 49, 612 (1977). [CrossRef]
  12. P. C. Gillette, J. L. Koenig, Appl. Spectrosc. 36, 535 (1982). [CrossRef]

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.


« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited