Spatiotemporal optical dark X solitary waves

作者：Baronio, Fabio^*; Chen, Shihua; Onorato, Miguel; Trillo, Stefano; Wabnitz, Stefan; Kodama, Yuji

来源：Optics Letters, 2016, 41(23): 5571-5574.

DOI：10.1364/OL.41.005571

• EQUATION
• MEDIA
• PROPAGATION
• STABILITY
• SOLITONS

We introduce spatiotemporal optical dark X solitary waves of the (2 + 1) D hyperbolic nonlinear Schrodinger equation (NLSE), which rules wave propagation in a self-focusing and normally dispersive medium. These analytical solutions are derived by exploiting the connection between the NLSE and a well-known equation of hydrodynamics, namely the type II Kadomtsev-Petviashvili (KP-II) equation. As a result, families of shallow water X soliton solutions of the KP-II equation are mapped into optical dark X solitary wave solutions of the NLSE. Numerical simulations show that optical dark X solitary waves may propagate for long distances (tens of nonlinear lengths) before they eventually break up, owing to the modulation instability of the continuous wave background. This finding opens a novel path for the excitation and control of X solitary waves in nonlinear optics.

• 出版日期2016-12-1
• 单位东南大学