ARBITRARY LOSS FACTORS IN THE WAVE PROPAGATION BETWEEN RHM AND LHM MEDIA WITH CONSTANT IMPEDANCE THROUGHOUT THE STRUCTURE

Abstract

We investigate the wave propagation properties in lossy structures with graded permittivity and permeability involving left- handed metamaterials. An exact analytic solution to Helmholtz' equation for a lossy case with both real and imaginary parts of permittivity and permeability proflle, changing according to a hyperbolic tangent function along the direction of propagation, is obtained. It allows for difierent loss factors in RHM and LHM media. Thereafter, the corresponding numerical solution for the fleld intensity along the composite structure is obtained by means of a dispersive numerical model of lossy metamaterials that uses a transmission line matrix method based on Z-transforms. We present the expressions and graphical results for the fleld intensity along the composite structure and compare the analytic and numerical solutions, showing that there is an excellent agreement between them.