Kramers-Kronig relations in spectral analysis of diffuse reflected radiation

Abstract

In this paper studied application of Kamers-Kronig relations in spectral analysis of diffuse reflected IR radiation. Two methods of the Kramers-Kronig relations calculation were considered: Maclaurin’s Formula (MF method) and Method of Peterson-Knight (PK method). Influence of using MF and PK methods on synthetic and real experimental spectra were studied. Accuracy and calculating time of these methods were compared. According to the results of numerical experiments, conclusions about the perspectives and application possibilities of the considered methods were discussed.

Analytical model of diffuse reflectance for NIR-SWIR absorbing-dye formulations using reduced absorbance functions

“…The critical feature parameterization and projection supports the construction of the parametric model which is capable of simulating reflectance from coated substrates, for various dyes, substrates, and mixtures. The IR-absorbing dyes considered in this study are characterized by robust spectral features, whose inverse spectral analysis demonstrate the concept, as emphasized by reference [6], of applying Kramers-Kronig analysis to diffuse reflectance, which has significant practical value with respect to reduced effort for sample preparation (for spectroscopic analysis).…”

Modeling optimized reduced spectra of diffuse reflectance for NIR-SWIR absorbing-dye formulations

“…The critical feature parameterization and projection supports the construction of the parametric model which is capable of simulating reflectance from coated substrates, for various dyes, substrates, and mixtures. The IR-absorbing dyes considered in this study are characterized by robust spectral features, whose inverse spectral analysis demonstrate the concept, as emphasized by reference [6], of applying Kramers-Kronig analysis to diffuse reflectance [7][8][9], which has significant practical value with respect to reduced effort for sample preparation (for spectroscopic analysis). Construction of reduced feature spaces for spectrum characterization is based on concepts from principle-component analysis (PCA) [10].…”

Inverse spectral analysis of spectrum-feature-enhanced diffuse reflectance measured using infrared backscatter imaging spectroscopy

“…Reference [4,5] emphasize the concept of using diffuse reflectance measurements, obtained by field spectroscopy, for quantitative estimates of dielectric response, and its practical value with respect to reduced effort for sample preparation (for spectroscopic analysis). In addition to describing the measurement of diffuse reflectance using IBIS, reference [1] presents examples of comparing these measurements to reference or template spectra for detection of target materials, where template spectra are diffuse reflectance measured using FTIR.…”

“…The inverse spectral analyses described by Figs. [1][2][3][4][5][6][7][8][9][10][11] present examples of different feature enhancement procedures. For the case of Caffeine diffuse reflectance, a broadband spectrum, Fig.…”