%0 Journal Article
%T Lossy Wave Propagation through a Graded Interface to a Negative Index Material ¨C Case of Constant Impedance
%A M. Dalarsson
%A M. Norgren
%A Z. Jak£¿i£¿
%J Microwave Review
%D 2011
%I Society for Microwave Technique, Technologies and Systems, Serbia and Montenegro IEEE MTT-S Chapter
%X We investigate the transmission and reflection properties at the interfaces between the lossy positive-index materials (PIM) and negative-index materials (NIM) with graded permittivity and permeability. We present an exact analytical solution to Helmholtz¡¯ equation for the oblique incidence on profile with the graded real parts of permittivity and permeability profile changing according to a hyperbolic tangent function. Thereafter we restrict our considerations to a special case of the normal incidence and present an exact analytical solution to Helmholtz' equation for a lossy case The simple analytical solutions and graphical results for the field intensity along the graded structure are presented. The model allows for arbitrary temporal dispersion.
%K Graded Index
%K Metamaterials
%K Negative Refractive Index
%K Transformation Optics
%U http://www.mtt-serbia.org.rs/microwave_review/pdf/Vol17No2_02_MDalarsson.pdf