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On the Kramers-Kronig transform with logarithmic kernel for the reflection phase in the Drude model (Articolo in rivista)

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On the Kramers-Kronig transform with logarithmic kernel for the reflection phase in the Drude model (Articolo in rivista) (literal)

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Andre, Jean-Michel (1); Le Guen, Karine (1); Jonnard, Philippe (1); Mahne, Nicola (2); Giglia, Angelo (2); Nannarone, Stefano (3) (2010)
On the Kramers-Kronig transform with logarithmic kernel for the reflection phase in the Drude model
in Journal of modern optics (Print); Taylor and Francis, Abingdon (Regno Unito)
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Andre, Jean-Michel (1); Le Guen, Karine (1); Jonnard, Philippe (1); Mahne, Nicola (2); Giglia, Angelo (2); Nannarone, Stefano (3) (literal)

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(1) Laboratoire de Chimie Physique - Matie`re et Rayonnement, UPMC Univ Paris; (2) Laboratorio Nazionale TASC, INFM-CNR; (3) Dipartimento di Ingegneria dei Materiali e dell Ambiente, Universita di Modena e Reggio Emilia (literal)

Titolo

On the Kramers-Kronig transform with logarithmic kernel for the reflection phase in the Drude model (literal)

Abstract

We use the Kramers-Kronig transform (KKT) with logarithmic kernel to obtain the reflection phase and, subsequently, the complex refractive index of a bulk mirror from reflectance. However, there remains some confusion regarding the formulation for this analysis. Assuming the damped Drude model for the dielectric constant and the oblique incidence case, we calculate the additional terms: phase at zero frequency and Blashke factor and we propose a reformulated KKT within this model. Absolute reflectance in the s-polarization case of a gold film is measured between 40 and 350 eV for various glancing angles using synchrotron radiation and its complex refractive index is deduced using the reformulated KKT that we propose. The results are discussed with respect to the data available in the literature. (literal)

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