TE Modal Dispersion in Dielectric Slab Waveguide with Lossy Left-Handed Metamaterial
- 1 1Department of Physics, Al-Azhar University, Gaza, Palestine 2Department of Physics, University of Dayton, Dayton, USA
Abstract
In this work, we derived the modal dispersion relation for TE m modes for a symmetric slab waveguide constructed from SiO 2 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 TE m mode order. We found that the real part of the effective refractive index decrease d 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 offer s good guiding power for all thickness in the frequency range with low power attenuation. The real part of the effective refractive index increase s with the increase of mode order, and the power confinement factor decrease s with the increase of mode order.
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