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

TL;DR

This paper presents an approximate analytical method for modeling TM wave propagation through graded positive-negative material interfaces using the asymptotic iteration method, providing solutions for magnetic fields and wave vectors.

Contribution

It introduces the application of the asymptotic iteration method to solve wave propagation in complex graded positive-negative interfaces, which is a novel approach in this context.

Findings

Derived approximate magnetic field distributions.

Analyzed eight models of wave vector in graded interfaces.

Demonstrated effectiveness of AIM in complex material structures.

Abstract

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.