Arbitrary Loss Factors in the Wave Propagation Between RHM and LHM Media With Constant Impedance Throughout the Structure

Abstract

Abstract-We investigate the wave propagation properties in lossy structures with graded permittivity and permeability involving lefthanded metamaterials. An exact analytic solution to Helmholtz' equation for a lossy case with both real and imaginary parts of permittivity and permeability profile, changing according to a hyperbolic tangent function along the direction of propagation, is obtained. It allows for different loss factors in RHM and LHM media. Thereafter, the corresponding numerical solution for the field 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 field intensity along the composite structure and compare the analytic and numerical solutions, showing that there is an excellent agreement between them.

Wave Propagation Solution for Transverse Electric Mode in a Graded Interface between Left-Handed and Right-Handed Material

“…The function of hyperbolic tangent is the most frequently used gradation profile. [11][12]. Recently, Husein et al give the approximate solution of wave propagation in transverse magnetic mode through a graded interface positive-negative for the case the hyperbolic cosecant and cotangent functions using AIM.…”

“…Recently, Husein et al give the approximate solution of wave propagation in transverse magnetic mode through a graded interface positive-negative for the case the hyperbolic cosecant and cotangent functions using AIM. [2][3][4][5][6][7][8][9][10][11][12][13] Various methods to solve of the second orde differential equation has been used by many researchers, such methods Nikiforov-Uvarov [14][15], the method Supersymmetry Quantum Mechanics (SUSY QM) [16], the method of polynomial Romanovski [17] and Asymptotic Iteration Methods (AIM) [18][19][20].…”

An Novel Absorber Screen Design Method Based on Receiving Antenna Principle

“…MMs have many types in practice, such as high impedance surface (HIS) [5], artificial magnetic conductor (AMC) [6], electromagnetic band-gap (EBG) [7] and left-handed metamaterial (LHM) [8]. However, most of these papers utilize MMs' high-impedance characteristic, and the bandwidths in these papers are still narrow for their resonance bandwidths [9][10][11].…”

Exact Analytical Solution for Fields in a Lossy Cylindrical Structure With Linear Gradient Index Metamaterials

“…The present study is a generalization of our previous work [25][26][27][28] to coaxial cylindrical structures with radial propagation of the electromagnetic wave. We present an exact analytical solution of Helmholtz' equations for the radial propagation of electromagnetic waves through a lossy linear gradientindex RHM-LHM composite, and compare the results with the corresponding results obtained using the simulation software ANSYS HFSS.…”

“…Analytical approaches to graded index metamaterial structures are of special interest, since they ensure fast, simple and direct route to the determination of the field distribution and the calculation of the scattering parameters within such materials [22,28].…”