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Characteristics of the guided modes in a channel waveguide with negative refractive index medium

We report on a theoretical analysis of a channel dielectric waveguide consisting of periodically interlaced negative refractive index medium and positive index medium. The dispersion relation for TM modes is obtained. The properties of guided wave modes have been numerically disclosed. It is shown that the waveguide can exhibit negative group velocity dispersion as well as extraordinarily large group velocity dispersion. The Poynting vector within the waveguide can change both sign and magnitude. The distribution of energy flux density of different sections relates to the frequency and the width of the channel waveguide.