TITLE:
TE Modal Dispersion in Dielectric Slab Waveguide with Lossy Left-Handed Metamaterial
AUTHORS:
Hassan S. Ashour
KEYWORDS:
Dispersion Relation; Left Handed Material LHM; Power Confinement; TE Surface Waves
JOURNAL NAME:
Journal of Modern Physics,
Vol.4 No.9,
September
3,
2013
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.