Solitary wave propagation in tunable liquid crystal-filled dual-core photonic crystal fibers

Abstract

In this paper, we introduce the mathematical model and the necessary constraint conditions of solitary wave propagation through dual core photonic crystal fibres (PCF) filled with liquid crystal. Using the Ansatz method, we derived analytically the necessary formulas to support soliton wave propagation in the new proposed type of coupled bi-refringent fibres. We evaluated dispersion and coupling coefficients by solving wave equations using the vector finite element method. These values can be tuned either by applying external perturbations such as heat or electric field or even altering the geometry of the PCF. Based on the constraint conditions derived from analytic formulas and numerical simulation, we determined the wavelength range for which the soliton waves will be supported without any distortion. The wavelength range can be adjusted by tuning the PCF.