The homogeneous problem for a corrugated metamaterial of arbitrary permittivity and permeability: Choosing the proper Riemann surface

CUEVAS, CEPINE

OPTIK

ELSEVIER GMBH

Año: 2011 vol. 122 p. 198 - 206

0030-4026

To obtain the eigenmodes of the electromagnetic field at a periodically corrugated metamaterial we consider the analytic extension to the complex plane of the solution to the boundary-value problem for a metamaterial grating. We build a proper Riemann sheet for these eigenmodes and we present numerical examples illustrating their propagation characteristics. Particularly, we pay special attention to regimes corresponding to ideally transparent metamaterials with a negative index of refraction, where the eigenmodes can radiate into the metamaterial medium.