2002
DOI: 10.1366/0003702021954935
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Nonlinear Optimization Algorithm for Multivariate Optical Element Design

Abstract: A new algorithm for the design of optical computing filters for chemical analysis, otherwise known as multivariate optical elements (MOEs), is described. The approach is based on the nonlinear optimization of the MOE layer thicknesses to minimize the standard error in sample prediction for the chemical species of interest using a modified version of the Gauss–Newton nonlinear optimization algorithm. The design algorithm can either be initialized with random layer thicknesses or with layer thicknesses derived f… Show more

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Cited by 23 publications
(20 citation statements)
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“…[8][9][10] MOEs are encoded with one of many possible spectral patterns by using the optical transmission and reflection characteristics of the interference filter to detect/measure a complex chemical signature in the presence of a strongly interfering background. [11] Simple instruments incorporating MOEs can realize the advantages of a multivariate calibration without the active use of a computer or an experienced operator for post-processing of the data. …”
Section: Multivariate Optical Computingmentioning
confidence: 99%
See 1 more Smart Citation
“…[8][9][10] MOEs are encoded with one of many possible spectral patterns by using the optical transmission and reflection characteristics of the interference filter to detect/measure a complex chemical signature in the presence of a strongly interfering background. [11] Simple instruments incorporating MOEs can realize the advantages of a multivariate calibration without the active use of a computer or an experienced operator for post-processing of the data. …”
Section: Multivariate Optical Computingmentioning
confidence: 99%
“…[11] Designing a specific, wideband multi-layer optical filter entails the sampling of a multidimensional surface where each dimension corresponds to a layer thickness. The target and background spectroscopic data in addition to the defined composite instrument response function are the inputs for designing the IMOEs.…”
Section: Designing the Imaging Multivariate Optical Elementsmentioning
confidence: 99%
“…4 and then proceeded as previously described. 5,7 The spectral radiance of the lamp, the spectral reflectance of the diffuse reflecting paper, the reflectivity and transmission of the Inconel beam splitters (one reflection and one transmission through the beam splitters was experienced in both T-IMOE and R-IMOE modes), the transmission spectrum of the 715 nm long-pass filter, the spectral efficiency of the lens, and the spectral responsivity of the camera array were all measured separately in our laboratory and multiplied together to obtain an absolute spectral response for the system without the samples. This absolute response was then normalized to unit area to produce a relative system spectral response.…”
Section: Imaging Multivariate Optical Element Design and Fabricationmentioning
confidence: 99%
“…The MOC model, however, is produced by designing an optical interference filter whose spectrum encodes a regression vector. 5 We have referred to these specialized interference filters as multivariate optical elements (MOEs).…”
Section: Introductionmentioning
confidence: 99%
“…Theoretical treatment of this methodology can be found in the literature (18,19). Myrick et al have demonstrated some practical applications of this methodology in UV-visible and NIR spectroscopy (20)(21)(22)(23)(24)(25)(26)(27)(28). Encoding applications are based on the fabrication of thin film solid-state optical filters, termed multivariate optical elements (MOEs).…”
Section: Introductionmentioning
confidence: 99%