TITLE:
Wave Propagation in Nanocomposite Materials
AUTHORS:
Pierre Hillion
KEYWORDS:
Composite Materials, Maxwell-Garnett, Constitutive Relations, TE TM Fields
JOURNAL NAME:
Journal of Electromagnetic Analysis and Applications,
Vol.2 No.7,
July
30,
2010
ABSTRACT: Electromagnetic wave propagation is first analyzed in a composite material mde of chiral nano-inclusions embedded in a dielectric, with the help of Maxwell-Garnett formula for permittivity and permeability and its reciprocal for chirality. Then, this composite material appears as an homo-geneous isotropic chiral medium which may be described by the Post constitutive relations. We analyze the propagation of an harmonic plane wave in such a medium and we show that two different modes can propagate. We also discuss harmonic plane wave scattering on a semi-infinite chiral composite medium. Then, still in the frame of Maxwell-Garnett theory, the propagation of TE and TM fields is investigated in a periodic material made of nano dots immersed in a dielectric. The periodic fields are solutions of a Mathieu equation and such a material behaves as a diffraction grating.