Abstract

We present a comprehensive study of the effect of material dispersion on the guided modes of a circular waveguide with an anisotropic, uniaxial metamaterial cladding, including in particular claddings with dispersive hyperbolic or indefinite material properties, both magnetic and electric. We show that the transverse components of material parameters have dominating effects compared to that of the longitudinal material components. We derive the condition for the existence of frequencies at which propagation constants diverge and study the modes’ behavior around such points. In particular we show these modes can be strongly confined in an air core with significantly subwavelength dimensions.

© 2013 Optical Society of America

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