Nonlinear dynamics of femtosecond supercontinuum generation with feedback

Abstract

We numerically study the impact of feedback on supercontinuum generation within a microstructured fiber inside a ring resonator, synchronously pumped with femtosecond pulses. In certain parameter ranges we observe a steady-state oscillator-like operation mode of the system. Depending on pump power also period doubling up to chaos is shown by the system. Even with the inclusion of realistic pump noise as perturbation, the periodic behavior was still achievable in numerical modeling as well as in a first experimental verification.

Two-octave spanning supercontinuum generation in stoichiometric silicon nitride waveguides pumped at telecom wavelengths

“…For comparing the measured spectra with calculations, we modeled the pulse propagation with the generalized nonlinear Schrödinger equation (GNLSE) as described to more detail in our previous work [42]. The motivation is to determine and verify input parameters that properly calibrate the model.…”

Enhanced supercontinuum generation in highly nonlinear fibre by selected feedback seeding

“…The supercontinuum was influenced by many factors, such as input pulse parameters and the nonlinear fibre parameters, and also by the feedback efficiency, feedback wavelength, and dispersion introduced by the feedback loop [6,7]. The HNLF used for this simulation has a low dispersion slope of ~0.015ps/(nm 2 .km) and a high nonlinearity of ~0.0116/(W.m), which is in favour of various nonlinear processes.…”

“…E pump is the electric pump pulse envelope which was adapted to a Gaussian field profile. The approach is similar to [7]: after integrating the GNLSE with the pump pulse field profile as the initial condition E N (z = 0)| n=0 = E 0 (0) = E pump (n = number of feedback iterations), the SC pulse envelope E 0 (L) = GNLSE(E 0 (0)) (L = fiber length) at the output end of the fiber could be obtained. A small percent of the generated SC was extracted by an output splitter to the feedback loop.…”

“…For example, by adding an external seed light or by modulating the pump pulse envelopes [3][4][5]. A different approach is to utilize a feedback to influence the SC generation, where a fraction of the generated SC was used as a seed for the following pump pulse [6][7][8]. But until now, control of the SC generation and its properties still remains a big challenge.…”

Introduction of Fiber Waveguide and Soliton Signals Used to Enhance the Communication Security

“…It was demonstrated that the chaotic signal is reasonably encoded by using the waveforms of the transmitter and chaotic signals of the receiver output. Thus, conducting of a secure transmission of a message and logical coding can be done using chaotic quantizing and coding [33].…”