Three-wave envelope solitons: can the speed of light in the fiber be controlled

Abstract

Theory predicts that three-wave envelope solitons (TWES) can be generated in dual-mode optical fibers by injecting two copropagating light waves or a light wave and a flexural acoustic wave. The mechanism of the three-wave interaction is the recently observed intermodal stimulated forward Brillouin scattering. The velocity of the TWES can be controlled by changing the pump power. Using 200 mW pump power for a typical dual-mode fiber, the average speed of the light pulse in the fiber can be made as low as 3 x 10 4 m/sec.

Optical rogue waves in parametric three-wave mixing and coherent stimulated scattering

“…However, as V 1 < V 2 (which means A < 0), η will always be real in the regime |δ| 2 √ −A ≡ δ m . We can see that as δ > δ m , the RW solutions will be forbidden in the latter case, according to the parameter condition (10). Besides, we note that both solutions (5) and (11) involve structures which are independent of the parameter κ.…”

“…As such, TWRI provides the basis for our understanding of diverse pattern-forming systems [1,[4][5][6][7][8]. Other important domains of application of TWRI in nonlinear optics are group-velocity pulse control [9][10][11], ultrashort pulse train generation [12], laser-plasma interaction [13], and so on.…”

“…This is in contrast to the case of quadratic solitons, where the energy flow among the waves is counterbalanced by groupvelocity dispersion (GVD) (or diffraction) [15]. Interestingly, TWRI solitons propagate with a common (or locked) velocity, despite the fact that the three waves travel with different linear group velocities before the reciprocal trapping [9,10,16]. This property makes such solitons very alluring in applications, since the walk-off caused by group-velocity mismatch, which usually limits the parametric frequency conversion efficiency, can be circumvented by nonlinear coupling.…”

“…This property makes such solitons very alluring in applications, since the walk-off caused by group-velocity mismatch, which usually limits the parametric frequency conversion efficiency, can be circumvented by nonlinear coupling. Moreover, when two optical waves are coupled to an acoustic wave via the SBS process, TWRI solitons may permit light to considerably slow down [10].…”

Frequency Conversion Based on Three-Wave Parametric Solitons

“…Several explicit soliton solutions, of both bright and dark type, of the TWI equations (9) have been computed by algebraic construction methods, see (Degasperis & Lombardo, 2009) and references quoted there, and some of them are detailed in the following sections with the purpose of displaying their relevance to special optical processes. On the applicative side, the three-wave resonant interaction has been extensively studied in the context of nonlinear optics, since it applies to parametric amplification, second harmonic generation and frequency conversion, stimulated Raman and Brillouin scattering and light speed control (Taranenko & Kazovsky, 1992;Ibragimov & Struthers, 1996;Ibragimov et al, 1998;Picozzi & Haelterman, 1998).…”