Abstract
This study aims to examine the mode that can pass through the waveguide and calculate the filling factor and efficiency of the Bragg Reflector.
 For that purpose in this research, a program using Matlab has been created to analyze the propagation data of the waves in the material, cylindrical waveguides, and Bragg reflectors. From the results of this study, it has been found that a cylindrical perforated waveguide with a Bragg Reflector as a cladding, is one way to overcome the chromic dispersion of optical fiber materials. This is because the electromagnetic waves traveling through the air (n=1) do not experience dispersion. The replacement of the core material with air requires a sheath that acts as a reflector at a certain wavelength, this sheath is known as a Bragg Reflector. The calculation of the band structure of the Bragg Reflector shows the presence of a bandgap in the coordinates. This pair in the bandgap area experiences the reflection required for the waveguide. From the continuity requirement, the forbidden bandgap shows the mode that can propagate in the optical fiber, the efficiency is calculated and the amplitude and power profile graphs are plotted. From the results of the calculations performed, it is found that each mode has an efficiency of more than 60% and increases for wider cores, both for single-mode and multi-mode.
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