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Spectral tolerance determination for multivariate optical element design.

M L Myrick1, O Soyemi, H Li

  • 1Department of Chemistry and Biochemistry, University of South Carolina, Columbia 29208, USA.

Fresenius' Journal of Analytical Chemistry
|April 11, 2001
PubMed
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This study establishes a method to determine allowable manufacturing errors for multivariate optical elements (MOEs) used in all-optical chemometric prediction. By analyzing sample spectroscopy, precise MOE design and fabrication tolerances are quantitatively defined.

Area of Science:

  • Optical Spectroscopy
  • Chemometrics
  • Optical Engineering

Background:

  • All-optical multivariate chemometric prediction utilizes optical filters (multivariate optical elements, MOEs) to encode spectral patterns.
  • MOE fabrication requires precise techniques, but quantitative guidelines for design and manufacturing errors were previously lacking.

Purpose of the Study:

  • To establish a quantitative method for defining allowable design and manufacturing errors in multivariate optical elements (MOEs).
  • To demonstrate how sample spectroscopy dictates the required accuracy for MOE production.

Main Methods:

  • Utilized sample spectroscopy to define accuracy requirements for MOE design and manufacturing.
  • Developed a general treatment of spectral tolerance.
  • Applied a worked example based on experimental measurements, analyzing spectral bandpass and theoretical regression vector statistics.

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Main Results:

  • Demonstrated that sample spectroscopy directly influences the definition of spectral bandpass and minimum tolerances for MOEs.
  • Quantified tolerances, showing a continuous range from 1 (fully tolerant) to approximately 10(-3) (0.1% T) in the experimental example.
  • Established a quantitative means to determine allowable design/manufacturing errors for MOEs.

Conclusions:

  • The study provides a crucial quantitative framework for MOE manufacturing tolerances.
  • This method ensures MOE performance by linking design accuracy to specific spectroscopic measurement requirements.
  • The findings are applicable to real-world chemometric prediction problems using optical spectroscopy.