A fast Fourier transform implementation of the Kramers-Kronig relations: Application to anomalous and left handed propagation

In this this paper we quickly derive the Kramers-Kronig relations from simple causality considerations and propose a simple way to implement them using the Fast Fourier Transform. This work focuses on how to make these relations a usable tool even when their conditions of validity are not strictly r...

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Bibliographic Details
Main Authors: Jérôme Lucas, Emmanuel Géron, Thierry Ditchi, Stéphane Holé
Format: Article
Language:English
Published: AIP Publishing LLC 2012-09-01
Series:AIP Advances
Online Access:http://dx.doi.org/10.1063/1.4747813