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We investigate the propagation of electromagnetic waves in transversemagnetic (TM) mode through the structure of materials interface that havepermittivity or permeability profile graded positive-negative using asymptoticiteration method (AIM). As the optical character of materials, the permittivityand the permeability profiles have been designed from constant or hyperbolicfunctions. In this work we show the approximate solution of magnetic fielddistribution and the eight models of wave vector of materials or interfacepositive-negative gradation.

Approximate solution of wave propagation in transverse magnetic mode through a graded interface positive-negative using asymptotic iteration method