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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 43, Iss. 10 — Apr. 1, 2004
  • pp: 2130–2140

Precision in multivariate optical computing

Frederick G. Haibach and Michael L. Myrick  »View Author Affiliations


Applied Optics, Vol. 43, Issue 10, pp. 2130-2140 (2004)
http://dx.doi.org/10.1364/AO.43.002130


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Abstract

Multivariate optical computing (MOC) is an instrumentation design concept for optically demultiplexing the spectroscopic signals in radiometric measurements. The advantages of optically demultiplexing are improved precision, optical throughput, improved reliability, and reduced cost of instrumentation. Conceptually, the instrument implements a multivariate regression vector whose dot product with the spectrum yields a single value related to a spectroscopically active physical property of interest. Instrumentation designs for implementing MOC are diverse, and there has been no systematic comparison of the performance of these designs. This report develops a general expression for comparing the precision of the different instrumentation designs of MOC. Additionally, an expression is given for the transition from low- to high-signal-limited performance of MOC instrumentation. These two general expressions are applied to the traditional multivariate analysis and five examples of MOC.

© 2004 Optical Society of America

OCIS Codes
(000.1570) General : Chemistry
(120.4570) Instrumentation, measurement, and metrology : Optical design of instruments
(120.4610) Instrumentation, measurement, and metrology : Optical fabrication
(120.5630) Instrumentation, measurement, and metrology : Radiometry
(120.6200) Instrumentation, measurement, and metrology : Spectrometers and spectroscopic instrumentation
(200.4560) Optics in computing : Optical data processing
(200.4860) Optics in computing : Optical vector-matrix systems

History
Original Manuscript: June 18, 2003
Revised Manuscript: December 1, 2003
Published: April 1, 2004

Citation
Frederick G. Haibach and Michael L. Myrick, "Precision in multivariate optical computing," Appl. Opt. 43, 2130-2140 (2004)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-43-10-2130


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