Abstract

Relative specular reflectance R is defined as R = R_s/R_w, where R_s and R_w are absolute reflectances of a sample material s and a material w for which the index of refraction n_w and the extinction coefficient k_w are known quantities. An algorithm was developed for computing n_s and k_s from the sample’s R spectrum measured for radiant flux polarized perpendicular to the plane of incidence and reflected at oblique angle θ. Kramers-Kronig analysis of the R spectrum provides Δϕ the difference between phase shifts for electromagnetic waves reflected at the surfaces of materials s and w. Real and imaginary parts of a Fresnel equation for relative reflectivity provide equations for computing n_s and k_s when θ, Δϕ, n_w, and k_w. are known quantities. Optical constants for aqueous solutions containing NaCl were computed in this manner; distilled water was the reflectance standard.

© 1973 Optical Society of America

Kramers-Kronig Analysis of Ratio Reflectance Spectra Measured at an Oblique Angle

Marvin R. Querry and Wayne E. Holland
Appl. Opt. 13(3) 595-598 (1974)

Kramers-Kronig Analysis of Reflectance Measured at Oblique Incidence

Dwight W. Berreman
Appl. Opt. 6(9) 1519-1521 (1967)

Kramers–Kronig analysis of infrared reflection spectra with perpendicular polarization

Kiyoshi Yamamoto, Akio Masui, and Hatsuo Ishida
Appl. Opt. 33(27) 6285-6293 (1994)

Optical Constants in the Infrared for Aqueous Solutions of NaCl†

Marvin R. Querry, Richard C. Waring, Wayne E. Holland, G. Michael Hale, and William Nijm
J. Opt. Soc. Am. 62(7) 849-855 (1972)

Kramers-Krönig analysis of modulated reflectance data investigation of errors

A. Balzarotti, E. Colavita, S. Gentile, and R. Rosei
Appl. Opt. 14(10) 2412-2417 (1975)