Higher-order solitons in amplitude-disordered waveguide arrays

doi:10.1088/1674-1056/23/10/104213

Abstract We investigate the existence and stability of different families of spatial solitons in optical waveguide arrays whose amplitudes obey a disordered distribution. The competition between focusing nonlinearity and linearly disordered refractive index modulation results in the formation of spatial localized nonlinear states. Solitons originating from Anderson modes with few nodes are robust during propagation. While multi-peaked solitons with in-phase neighboring components are completely unstable, multipole-mode solitons whose neighboring components are out-of-phase can propagate stably in wide parameter regions provided that their power exceeds a critical value. Our findings, thus, provide the first example of stable higher-order nonlinear states in disordered systems.

Keywords: disordered lattices higher-order solitons stability

Received: 23 September 2013
Revised: 10 March 2014
Accepted manuscript online:

PACS:	42.65.Tg	(Optical solitons; nonlinear guided waves)
	42.65.Jx	(Beam trapping, self-focusing and defocusing; self-phase modulation)
	42.65.Wi	(Nonlinear waveguides)

Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 11074221 and 11374268) and the Natural Science Foundation of Zhejiang Province, China (Grant No. LY13A040003).

Corresponding Authors: Dong Liang-Wei
E-mail: donglw@zjnu.cn

About author: 42.65.Tg; 42.65.Jx; 42.65.Wi

Cite this article:

Liu Hai-Dong (刘海东), Jin Hong-Zhen (金洪震), Dong Liang-Wei (董亮伟) Higher-order solitons in amplitude-disordered waveguide arrays 2014 Chin. Phys. B 23 104213


[12]	Yang J and Lakoba T I 2007 Stud. Appl. Math. 118 153

[1]	Paulson K, Lionheart W and Pidcock M 1993 IEEE Trans. Med. Imag. 12 681

[2]	Metheral P, Barber D C, Smallwood R H and Brown B H 1996 Nature 380 509

[13]	Lederer F, Stegeman G I, Christodoulides D N, Assanto G, Segev M and Silberberg Y 2008 Phys. Rep. 463 1

[14]	Kivshar Y S and Agrawal G P 2003 Optical Solitons: from Fibers to Photonic Crystals(San Diego: Academic Press)

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