Mathematical conclusion for calculate effective refractive index (neff) to study propagation properties in PCF.

Abstract

In this study, a mathematical equation was calculated for both the aerial and silica segments of the optical pathway emitted from the center of the fiber to calculate the neff refractive index of the photonic crystalline fiber envelope area by approximation of Silica Strand Model. In terms of the effective refractive index, the propagation properties of the photonic crystalline fibers with circular air gaps were calculated and controlled by controlling the main engineering parameters of the photonic crystalline spectrum, including: d, , Nr, MNr and d /  Aerobic gap rings, number of missing rings and air segment in order. The results were comparable to published global research to study propagation characteristics, and zero dispersion to short wavelengths was obtained to obtain zero dispersion at desired wavelength instead of 1.155 and 1.300 in conventional optical fibers. This study could be generalized to photonic crystalline fibers of any shape and number Aerobic gaps, in addition to the possibility of studying these characteristics by replacing the air with any liquid or gas known refractive index