A Systematic Analysis and Comparison of the Dispersion Curves of Hypocycloidal and Elliptical Bragg Waveguide Using very Simple Analytical Method

Abstract

In this paper we have analyzed the modal dispersion characteristics of two unconventional Bragg waveguides namely hypocycloidal and elliptical Bragg waveguide by the use of very simple matrix method. We are using matrix equation which replaces the boundary condition. We obtained the characteristic equation analytically. In both cases all the outputs are showing in the form of dispersion curves and we are also trying to compare their dispersion characteristics. It is seen that in case of hypocycloidal Bragg waveguide [1] the cut off frequency increases with the decrease of cladding layers .But in case of elliptical Bragg waveguide [2], when the cladding layer decreases from six layered to four layered the cutoff frequency increases and from four layer to two layer the cutoff frequency become decreases.