摘要We demonstrate the existence of a broad class of higher-order Laguerre--Gaussian asymmetric spatial optical solitons in strongly nonlocal nonlinear media. Furthermore, we discuss specific values (q=0) of the modulation depth parameter for different rational values of the topological charge in detail. Our results show that higher-order asymmetry spatial soliton family can exist in various forms, such as two-dimensional defect half-solitons, asymmetric single-layer and multi-layer necklace solitons.
Abstract：We demonstrate the existence of a broad class of higher-order Laguerre--Gaussian asymmetric spatial optical solitons in strongly nonlocal nonlinear media. Furthermore, we discuss specific values (q=0) of the modulation depth parameter for different rational values of the topological charge in detail. Our results show that higher-order asymmetry spatial soliton family can exist in various forms, such as two-dimensional defect half-solitons, asymmetric single-layer and multi-layer necklace solitons.
[1] Suter D and Blasberg T 1993 Phys. Rev. A 484583 [2] Conti C, Peccianti M, and Assanto G 2003 Phys. Rev.Lett. 91 073901 [3] Conti C, Peccianti M, and Assanto G 2004 Phys. Rev.Lett. 92 113902 [4] Rotschild C, Cohen O, Manela O, Segev M and Carmon T 2005 Phys. Rev. Lett. 95 213904 [5] Pedri P and Santos L 2005 Phys. Rev. Lett. 95200404 [6] Krolikowski W and Bang O 2000 Phys. Rev. E 63016610 [7] Krolikowski W, Bang O, Rasmussen J J and Wyller J 2001 Phys. Rev. E 64 016612 [8] Wyller J, Krolikowski W, Bang O and Rasmussen J J 2002 Phys. Rev. E 66 066615 [9] Bang O, Krolikowski W, Wyller J and Rasmussen J J 2002 Phys. Rev. E 66 046619 [10]Soljacic M and Segev M 2001 Phys. Rev. Lett. 86 420 [11]Desyatnikov A S and Kivshar Y S 2002 Phys. Rev.Lett. 88 053901 [12] Snyder A W and Michell D J 1997 Science 2761538 [13]Kartashov Y V, Vysloukh V A and Torner L 2007 Opt.Express 15 9378 [14]Skupin S, Saffman M, and Krolikowski W 2007 Phys.Rev. Lett. 98 263902 [15] Dalfovo F, Giorgini S, Pitaevskii L P and Stringari S1999 Rev. Mod. Phys. 71 463 [16] Perez-Garcia V M, Konotop V V and Garcia-Ripoll J J 2000 Phys. Rev. E 62 4300 [17] Zhong W P and Yi L2007 Phys. Rev. A 75061801(R) [18] Zhong W P, Yi L, Xie R H , Beli\'{c M and Chen G 2008 J. Phys. B: Mol. Opt. Phys. 41 025402 [19] Lopez-Aguago S, Desyatnikov A S, Kivshar Y S, Skupin S,Krolikowski W and Bang O 2006 Opt. Lett. 31 1100
2008, Vol. 25 
