Direct retrieval method of the effective permittivity and permeability of bulk semi-infinite metamaterials by variable-angle spectroscopic ellipsometry

Quentin Flamant (1) , Daniel Torrent (1, 2) , Sergio Gomez-Graña (3, 4) , Alexander Grigorenko (5) , Vasyl Kravets (5) , Philippe Barois (1) , Virginie Ponsinet (1) , Alexandre Baron (1)

1 CRPP - Centre de Recherche Paul Pascal
2 INIT - Currently at GROC, Institut de Noves Tecnologies de la Imatge
3 CINBIO - Centro de Investigación en Nanomateriais e Biomedicina
4 ICMCB - Institut de Chimie de la Matière Condensée de Bordeaux
5 School of Physics and Astronomy [Manchester]

In this work, we present a simple method for the direct retrieval of the effective permittivity and permeability of a bulk semi-infinite metamaterial from variable-angle spectro-scopic ellipsometry measurements. Starting from the well-known Fresnel equations, we derive an analytical expression in which unknown coefficients are fitted to the experimental data using a linear regression model. The effective permittivity and permeability are then determined by solving a simple system and the correct solution is selected based on physical criteria. As an example, the method is applied to the case of a self-assembled metamaterial exhibiting strong isotropic optical magnetism.

Domaines: Physique [physics]

Quentin Flamant, Daniel Torrent, Sergio Gomez-Graña, Alexander Grigorenko, Vasyl Kravets, et al.. Direct retrieval method of the effective permittivity and permeability of bulk semi-infinite metamaterials by variable-angle spectroscopic ellipsometry. OSA Continuum, 2019, 2 (5), pp.1762. ⟨10.1364/OSAC.2.001762⟩. ⟨hal-02165752⟩