Piecewise polynomial dielectric function model and its application for the retrieval of optical functions
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Updated: Jul 13, 2026

Cooling Rate Dependent Ellipsometry Measurements to Determine the Dynamics of Thin Glassy Films
Published on: January 26, 2016
Domingos De Sousa Meneses1, Benoit Rousseau, Patrick Echegut
1CNRS-CRMHT, 1D, Av. de la Recherche Scientifique, 45071, Orléans cedex 2, France. desousa@cnrs-orleans.fr
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.
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