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Piecewise Polynomial Dielectric Function Model and Its Application for the Retrieval of Optical Functions

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Abstract:

A new expression of dielectric function model based on piecewise polynomials is introduced. Its association with spline and more recent shape preserving interpolation algorithms allows easy reproduction of every kind of experimental spectra and thus retrieval of all the linear optical functions of a material. Based on a pure mathematical framework, the expression of the model is always applicable and does not necessitate any knowledge of the microscopic mechanisms of absorption responsible for the optical response. The potential of piecewise polynomial dielectric functions is shown through synthetic examples and the analysis of experimental spectra.

Keywords: DIELECTRIC FUNCTION MODEL; INFRARED SPECTROSCOPY; IR SPECTROSCOPY; KRAMERS-KRONIG RELATIONS; OPTICAL FUNCTIONS

Document Type: Research Article

DOI: http://dx.doi.org/10.1366/000370207781269710

Affiliations: 1: CNRS-CRMHT, 1D, Av. de la Recherche Scientifique, 45071 – Orléans cedex 2 – France; Polytech' Orléans, 8, rue Léonard de Vinci, 45072 – Orléans cedex 2 – France 2: CNRS-CRMHT, 1D, Av. de la Recherche Scientifique, 45071 – Orléans cedex 2 – France

Publication date: June 1, 2007

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