Using Lognormal Function to Measure Negative Chromatic Dispersion of Broadband Photonic Crystal Fiber

Abstract

Negative chromatic dispersion curves in a highly dispersive dual-concentric core pure silica photonic crystal fiber (PCF) have been investigated and measured. Our investigation depends on a simulation process for previous experimental results that were obtained by plane wave expansion (PWE) method. In the presented simulation process an approximation function will be considered to create a mathematical model that enables us to measure chromatic dispersion curves in this typical type of PC.The variations in the  dispersion band-width that product as a function of lattice constant variation and air- holes diameters of lattice structure were carefully observed using Log normal approximation function. The obtained results by lognormal function match well with these obtained by PWE This work is devoted to supply fibers manufacturers with a précised  model that can evaluate PCF performance by measuring negative dispersion and dispersion band-width theoretically and accurately.

Keywords: Chromatic dispersion, Photonic crystal fiber, lognormal function, Lattice structure parameters.