Using the Kramers-Kronig Method to Determine Optical Constants and Evaluating Its Suitability as a Linear Transform for Near-Normal Front-Surface Reflectance Spectra

Authors: Kocak, A.1; Berets, S.L.2; Milosevic, V.3; Milosevic, M.3

Source: Applied Spectroscopy, Volume 60, Issue 9, Pages 220A-236A and 951-1095 (September 2006) , pp. 1004-1007(4)

Publisher: Society for Applied Spectroscopy

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Abstract:

In this paper, the suitability of using the Kramers-Kronig transform to routinely extract optical constants from near-normal incidence reflectance spectra of solids and liquids is demonstrated. In addition, the possibility of utilizing the Kramers-Kronig transform as a linearizing transform for near-normal incidence reflectance spectra is investigated. Also, several commercial Kramers-Kronig software packages were utilized in determining the optical constants from the near-normal incidence reflectance of Plexiglas. Unexpectedly, the results produced by the various packages differed significantly. The near-normal reflectance of water was measured, the Kramers-Kronig transform was applied to extract the optical constants of water, and the result was compared to values found in the literature. Furthermore, the Kramers-Kronig transforms of near-normal incidence reflectance spectra of various concentrations of sugar in water were calculated to evaluate its use as a linearizing transform for quantitative applications.

Keywords: KRAMERS-KRONIG; REFLECTANCE; ABSORPTION INDEX; REFRACTIVE INDEX; LINEARIZING TRANSFORM

Document Type: Research article

DOI: 10.1366/000370206778397443

Affiliations: 1: John Jay College of Criminal Justice, The City University of New York, Department of Sciences, 445 W 59th Street, New York, New York 10019 2: Harrick Scientific Products, 141 Tompkins Ave, 2nd Floor, P.O. Box 277, Pleasantville, New York 10570 3: MeV Photonics, Westport, Connecticut 06880

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