Through rigorous analysis of all possible oscillatory guided modes propagating in a dielectric cylindrical waveguide with anisotropic metamaterial cladding, we demonstrate that slow or even stopped electromagnetic wave (or light) can propagate in the waveguide with specially selected parameters of the metamaterial. We propose a linearly tapered cylindrical waveguide which could lead the propagating light to a complete standstill and validate the structure by full-wave simulation based on the finite-difference time-domain method. For practical implementation, we present two possible realizations of the slow-light waveguide structure: one consists of silver and silicon dioxide multilayered thin films as the metamaterial cladding and the other consists of isotropic plasmonic material as the cladding. We demonstrate that slow-light can be supported in the practical structures by theoretical analysis.
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