Joint time-frequency analysis of ultrashort soliton propagation in nonlinear optical fibers

Abstract

In this work, the problem of propagation of ultrashort optical solitons through a non-linear optical fiber is investigated in the joint Time-Frequency (TF) domain using optimized representations [i.e. Wigner-Ville (WV) Distribution or WVSpectrograms with reduced cross-term interferences]. Based on these optimized representations, complete numerical simulations for nonlinear propagation of solitons were carried out. In particular we have analyzed the evolution of second and third order solitons and soliton interaction in optical fibers using joint TF representations.