There is considerable fundamental and applicative interest in obtaining non-diffractive and non-dispersive spatio-temporal localized wave packets propagating in optical cubic nonlinear or Kerr media [1-3]. Here, we analytically predict the existence of a novel family of spatio-temporal dark lump solitary wave solutions of the (2+1)D nonlinear Schrodinger equation (NLSE). Dark lumps represent multi-dimensional holes of light on a continuous wave background. We analytically derive the dark lumps from the hydrodynamic exact soliton solutions of the (2+1)D shallow water Kadomtsev-Petviashvili (KP) model [4,5], inheriting their complex interaction properties (see Fig. 1). Our finding opens a novel path for the excitation and control of optical multidimensional extreme wave phenomena of hydrodynamic footprint [6]. [1] R. Boyd, Nonlinear Optics, 3rd ed. (Academic Press, London, 2008). [2] Y. Silberberg, Opt. Lett. 15, 1282 (1990). [3] C. Conti et al., Phys. Rev. Lett. 90, 170406 (2003). [4] S.V. Manakov et al., Phys. Lett. A 63, 205 (1977). [5] Z. Lu, et al. Wave Motion 40, 1223 (2004). [6] F. Baronio, S. Wabnitz, and Y. Kodama, Arxiv 1602.08464 (2016).
Optical Spatio-Temporal Dynamics of Hydrodynamic Origin
BARONIO, Fabio;WABNITZ, Stefan;
2016-01-01
Abstract
There is considerable fundamental and applicative interest in obtaining non-diffractive and non-dispersive spatio-temporal localized wave packets propagating in optical cubic nonlinear or Kerr media [1-3]. Here, we analytically predict the existence of a novel family of spatio-temporal dark lump solitary wave solutions of the (2+1)D nonlinear Schrodinger equation (NLSE). Dark lumps represent multi-dimensional holes of light on a continuous wave background. We analytically derive the dark lumps from the hydrodynamic exact soliton solutions of the (2+1)D shallow water Kadomtsev-Petviashvili (KP) model [4,5], inheriting their complex interaction properties (see Fig. 1). Our finding opens a novel path for the excitation and control of optical multidimensional extreme wave phenomena of hydrodynamic footprint [6]. [1] R. Boyd, Nonlinear Optics, 3rd ed. (Academic Press, London, 2008). [2] Y. Silberberg, Opt. Lett. 15, 1282 (1990). [3] C. Conti et al., Phys. Rev. Lett. 90, 170406 (2003). [4] S.V. Manakov et al., Phys. Lett. A 63, 205 (1977). [5] Z. Lu, et al. Wave Motion 40, 1223 (2004). [6] F. Baronio, S. Wabnitz, and Y. Kodama, Arxiv 1602.08464 (2016).I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
