The use of metamaterials to control the speed of light propagation in optical structures

In the article we show in the geometric approximation the possibility of slowing down the light propagating along the axis of an optical waveguide structure by using metamaterials as optical structure elements. We study features of light propagation using a plane model of a fiber optic line whose cladding material has a negative refractive index. It is shown that by introducing a metamaterial, the propagation of light waves in the structure can be changed so that the light is decelerated along the structure axis to the extent that it stops, before starting to propagate in the opposite direction. We derive relationships for calculating the delay time as a function of geometrical and optical parameters of the structure, relationships for calculating critical parameters, and conditions for stopping the light.