TE Modal Dispersion in Dielectric Slab Waveguide with Lossy Left-Handed Metamaterial

Hassan S Ashour

doi:10.4236/jmp.2013.49156

Abstract

In this work, we derived the modal dispersion relation for TEm modes for a symmetric slab waveguide constructed from SiO2 dielectric guiding core material with lossy left-handed material (LHM) as cladding and substrate, and the power confinement factor. The dispersion relations and the power confinement factor were numerically solved for a given set of parameters: allowed frequency range; core’s thicknesses; and TEm mode order. We found that the real part of the effective refractive index decreased with thickness and frequency increase. Moreover, the imaginary part (extinction coefficient) of the effective refractive index has very small values for all thickness in the frequency ranges, which means the waveguide structure is transparent for the used frequencies. The waveguide structure offers good guiding power for all thickness in the frequency range with low power attenuation. The real part of the effective refractive index increases with the increase of mode order, and the power confinement factor decreases with the increase of mode order.

Highlights

Metamaterials are unlike conventional materials, which gain their properties from their inherent composition of atoms and molecules
We derived the modal dispersion relation for TEm modes for a symmetric slab waveguide constructed from SiO2 dielectric guiding core material with lossy left-handed material (LHM) as cladding and substrate, and the power confinement factor
We found that the real part of the effective refractive index decreased with thickness and frequency increase

Summary

Introduction

Metamaterials are unlike conventional materials, which gain their properties from their inherent composition of atoms and molecules. Interest is focused on the propagation of electromagnetic waves in artificial materials, and on materials with negative index of refraction: materials which are designed to exhibit both negative permeability and permittivity over predetermined range of frequencies [2]. It was the first time that Veselago’s prediction [6] in his pioneer paper that electromagnetic propagation in an isotropic medium with negative dielectric permittivity 0 and negative permeability 0 could exhibit unusual properties was realized Those recent demonstrations on the existence of the LHM resulted in a wide-open to unique possibilities in the design of a novel type of device based on electromagnetic wave propagation in those materials, but in a non-conventional way. ASHOUR voted for discusses the numerical results; Section 4 is solely devoted to the conclusion

Ey1 x2

Confinement Factor

Numerical Results and Discussion

Conclusion