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

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

Document Type: Research Article

DOI: http://dx.doi.org/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

Publication date: September 1, 2006

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