Finding spatiotemporal light bullets in multicore and multimode fibers

Abstract

A two-level iterative algorithm for finding stationary solutions of coupled nonlinear Schrödinger equations describing the propagation dynamics of an electromagnetic pulse in multimode and multicore optical fibers of various structures was developed and tested. Using as an example the proposed analytical soliton solution which is localized in space and time, test calculations were performed, and the convergence of the algorithm was demonstrated.

Optical vortices in waveguides with discrete and continuous rotational symmetry

“…This photonic structure facilitates the propagation of spatiotemporal optical solitons [36], and the corresponding spatiotemporal optical vortices which were studied theoretically in [37] and experimentally in [38,39]. Beyond these early studies, distinct nonlinear effects present in MCF have been studied in [40][41][42][43][44][45] with results indicating fascinating new features when compared with both infinite photonic lattices or single core fibers. Mathematical models describing light propagation in MCFs are centered on the nonlinear Schrödinger equation [46][47][48] or the nonlinear complex Ginzburg-Landau equation [49][50][51][52].…”

Controllable soliton transition and interaction in nonlocal nonlinear media

“…Optical solitons have been studied for several decades because they exhibit novel properties and have fruitful applications in all-optical control and photonic signal processing. Various lines of researches have been developed, such as spatiotemporal light bullets found in multicore and multimode fibers [7]; vector solitons were investigated in nonlinear fractional Schrödinger equation [8]. The dynamics of loop soliton [9] and the nature of quadratic soliton have also been discussed [10].…”