Modal characteristic and dispersion curves of a hypocycloidal optical waveguide

Abstract

A theoretical analysis has been made for the propagation of electromagnetic waves in an optical waveguide with a hypocycloidal cross-section. The characteristic eigen value equations and cutoff conditions have been obtained under the strong guidance condition for such a waveguide. It is seen that the trivial cutoff appears under the strong guidance and the cutoff values are comparable with those of the circular waveguides. Also it is observed that such waveguides support pairs of modes having the same cutoff values.