Calculating the field and spectrum of the reverse wave induced when a femtosecond pulse with a superwide spectrum propagates in an optical waveguide

Abstract

A numerical method is presented for solving a system of equations for the forward and reverse waves of radiation with a superwide spectrum in a transparent optical waveguide with arbitrary dispersion and cubic nonlinearity. The method can be used to model the interaction of counterpropagating pulses, as well as to model the process of generating the reverse (self-reflected) wave if it was originally absent. A discussion is given of the formation of the wave reflected from the optical inhomogeneities of the medium, induced by an intense pulse consisting of three field vibrations in a quartz fiber. Its intensity is small, and therefore it has no reverse effect on the pulse of the forward wave. The spectrum of the reflected wave contains triple frequencies.