Complete modulational-instability gain spectrum of nonlinear quasi-phase-matching gratings

Abstract

We consider plane waves propagating in quadratic nonlinear slab waveguides with nonlinear quasiphase-matching gratings. We predict analytically and verify numerically the complete gain spectrum for transverse modulational instability, including hitherto undescribed higher order gain bands.

Gain sideband splitting in dispersion oscillating fibers

“…From the application point of view, the observed sideband splitting may be considered as generating a double-sideband, suppressed carrier modulation format (where by carrier we mean the original first order parametric resonant sideband). Moreover, analogous phenomena are expected to occur in other types of quasi-phase-matched nonlinear interactions, for example in periodically poled quadratic materials [20,21]. From a fundamental viewpoint, the present sideband splitting appears to be a universal feature of strongly parametrically driven nonlinear dynamical systems.…”

Gain sideband splitting in dispersion oscillating fibers

“…Moreover, analogous phenomena are expected to occur in other types of quasi-phase-matched nonlinear interactions, for example in periodically poled quadratic materials [20,21]. From a fundamental viewpoint, the present sideband splitting appears to be a universal feature of strongly parametrically driven nonlinear dynamical systems.…”

Modulational instability of optical beams in photorefractive media due to two-wave or parametric four-wave mixing effects

“…They observed the one-dimensional development of transverse patterns which eventually lead to beam breakup, filamentation, and spatial soliton formation, using both spatially coherent and partially incoherent excitations. The MI phenomena has been previously observed in various media like Kerr media [15], electrical circuits [16], plasmas [17], parametric band gap systems [5], quasi-phasematching gratings [18], discrete dissipative systems [19] and in PR polymers [20]. The transverse instability of counterpropagating waves in PR media is studied by Saffman et al [21].…”