1. Bragg fiber waveguides are proposed as a way to minimize dispersion and transmission losses in optical waveguides, consisting of a core surrounded by alternate layers of high and low refractive index materials that provide photonic band gaps.
2. Defect modes can be introduced in Bragg fiber waveguides by breaking the special periodicity of their alternate cladding layers, allowing for narrowband transmission in the band gap region and potential use as an optical filter.
3. The transfer matrix method is employed to analyze the proposed structure, which can also be applied to concentric cylindrical multilayer structures under certain assumptions.