Mathematical Approximation for Modeling the Photonic Crystal Fibers
Keywords:Photonic Crystal Fibers (PCF), dispersion, refractive index
AbstractIn this research a mathematical approximation for modeling a PCFs is derived. The effective refractive index neff of the clad region obtained by this relation will be used to study the properties of the PCFs such as normalized frequency, effective area, group velocity dispersion and the nonlinear coefficient. All these properties are studied when the holes of the PCFs are filled with air ,or with any material like chloroform. The merit of our mathematical approximation is that, neff can be easily and directly calculated, then the dispersion profile can be controlled by fine manipulating the (d/Λ) of circular or elliptical air holes in PCF cladding. The results show good agreement with published works. The MATLAB 2010 program is used in this study, which is the most successful program to get appropriate diagrams and results
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