The oscillating guided modes and surface modes in an optical fiber with left-handed material core and right-handed material cladding are discussed. Using the dispersion equations for , , , and guided modes, their dispersion curves are plotted under the consideration of material dispersion, which is based on an experimental model. Then the properties of the dispersion curves are discussed. For oscillating guided modes, their surface modes can connect with each other. However, the oscillating guided mode connects with that of the surface mode. Further, for the same frequency, the effective refractive index has two different values for oscillating guided modes and three different values for surface mode. Double-value properties of guided modes in LHM slab waveguides are already known, but the three-value property of surface modes in LHM waveguides is found and reported here. We also investigate the normalized power fluxes of modes. New propagation characteristics for oscillating guided modes and surface modes are obtained.
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