A MULTIPLY-SUBTRACTIVE KRAMERS- KRONIG ANALYSIS OF THE TRANSMITTANCE SPECTRUM OF A THIN FILM ON A SUBSTRATE

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1992

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Ohio State University

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A new ``multiply-subtractive” Kramers---Kronig (MSKK) algorithm has been developed to obtain the optical constants, n and k, of a single lamellar thin film on a uniform thick substrate from its normal transmittance spectrum. A singly subtractive Kramwers-Kronig analysis reduces errors associated with extrapolations to the experimental spectrum by using a reference wave number at which the optical constants are know $^{1,2}$ The authors have found a form of the equations for the general MSKK algorithm which allows the use of any number of reference wave numbers and is easily computer coded.

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1. R.K. Ahrenkiel, J. opt. Soc. Am. 61 1651 (1971) 2. K.F. Palmer and M.Z. Williams, Appl. Opt. 24, 1788 (1985) We will describe how the MSKK method can produce accurate analyses of transmittance spectra of limited wave number domains. Examples using theoretical spectra and the spectra of simple molecules (e.g. $CO_{2}$) condensed onto a 20 k germanium substrate will be presented.
Author Institution: Department of Physics, Westminster college

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