Modal characteristics and cutoff conditions of a hypocycloidal waveguide with chiral media in the core and the cladding

The characteristic equations and cutoff conditions for a hypocycloidal wave guide with chirality in the core and cladding have been derived for zero or der modes using the strong guidance condition. Emphasis has been made mainl y on the field cutoff condition. It is found that the cutoff condition of t he waveguide with a chiral core and the chiral cladding is the same as that of a waveguide with a chiral core and a dielectric cladding. It is seen th at the presence of the chirality in the proposed waveguide splits every mod e into two modes. This implies that, the left handed and right handed modes merge into a single mode when the chiral admittance is zero. We also find that the cutoff core radii of right handed modes decrease with the increase of chiral admittance but the cutoff core radii of the left handed modes in crease in magnitude. These properties can be applied in the design of a mod e converter.