  We investigate the propagation of electromagnetic waves in transverse
magnetic (TM) mode through the structure of materials interface that have
permittivity or permeability profile graded positive-negative using asymptotic
iteration method (AIM). As the optical character of materials, the permittivity
and the permeability profiles have been designed from constant or hyperbolic
functions. In this work we show the approximate solution of magnetic field
distribution and the eight models of wave vector of materials or interface
positive-negative gradation.
