Modal analysis of a super-elliptical Bragg waveguide with a small number of periodic cladding layers based on a very simple analytical technology

Using a simple matrix method and replacing the boundary condition by a matrix equation, the characteristic equation of an unconventional Bragg waveguide, namely a super-elliptical Bragg waveguide, has been obtained analytically. Computed results are shown in the form of dispersion curves and are compared with the dispersion curves of a standard step index fiber and a standard Bragg fiber having circular core [V. Singh, B. Prasad, S.P. Ojha. Analysis of the modal characteristics of a Bragg fiber with a small number of claddings using a very simple analytical approach, Microw. Opt. Technol. Lett. 46 (2005) 271–275 [1]]. It is seen that the correspondence between the cutoff values for the standard step index fiber and the new super-elliptical Bragg fiber is quite close for the lowest mode under the weak guidance condition.