Evolution of first-order sidebands from multiple FWM processes in HiBi optical fibers

Abstract

The generation of two idler waves inside a high birefringent (HiBi) optical fiber through three four-wave mixing (FWM) processes is studied theoretically. The coupled-equations for the field amplitudes are derived and analytically solved, in the co-polarized and orthogonal polarization schemes. The obtained solutions take into account the delayed Raman response of the medium. The polarization sensitivity of the generation of the idler waves is analyzed. Results show that the stimulated Raman scattering does not change the efficiency of the idler wave generation in the co-polarized scheme, whereas in the orthogonal polarization scheme that nonlinear process decreases the efficiency of the four-wave mixing processes. Results also show that this set of multiple four-wave mixing processes is physically quite different from the typical single or dual pump fourwave mixing configurations. Findings show that the power transfer from the pumps to the idler fields can lead to a monotonous growth, or a periodic evolution of the sidebands along the fiber. Results show that the process efficiency varies greatly with the angle between the two pump polarizations.

Analytical seven-wave model for wave propagation in a degenerate dual-pump fiber phase sensitive amplifier

“…Pakarzadeh and Zakery investigated the 6-wave model numerically for optimization of the shape of the gain spectra [30,31]. Ignoring nonlinear effects of the fiber, a dispersive 6-wave system was studied by Silva et al [32]. In the context of PSA noise figure calculations, McKinstrie et al analyzed the 6-wave model, however providing an analytical solution under certain special cases only [33].…”

Implications of Raman scattering and phase noise on multiple four-wave mixing processes in an optical fiber

“…It is possible that SSRS may degrade the correlated nature of the extracted photon pairs [21,22]. The influence of stimulated Raman scattering on FWM in an optical fiber has been studied [23,24], with focus on a regime of pump powers, detunings, and fiber lengths in which only first-order sidebands are of significance. The more general case of multiple FWM processes involving the generation of multiple orders of sidebands evolving along the length of a fiber is presented herewith.…”