Analysis of evanescent field of TE and TM mode in the grounded slab metamaterial waveguide structure

The propagation constant in terms of β/k with function of normalized frequency (V) for grounded slab metamaterial waveguides of TE and TM mode is calculated and its graphical results is shown with the help of MATLAB. These results are compared with the three layer metamaterial waveguide structure. The evanescent fields are investigated for various modes in a perfectly grounded metamaterial planer slab waveguide for both cases. The power distribution inside the cover and film region is investigated and distribution of energy flux along the transverse profile of waveguide for different normalized frequency (V) is shown properly. Metamaterials show the unusual properties over normal material and due to the grounded slab structure, the evanescent fields are propagated more inside the cover region. This analysis can be useful to enhance the sensitivity of metamaterial optical waveguide sensor.