Borovkova Olga V, Kartashov Yaroslav V, Vysloukh Victor A, Lobanov Valery E, Malomed Boris A, Torner Lluis
ICFO-Institut de Ciencies Fotoniques, and Universitat Politecnica de Catalunya, Mediterranean Technology Park, 08860, Castelldefels (Barcelona), Spain.
Opt Express. 2012 Jan 30;20(3):2657-67. doi: 10.1364/OE.20.002657.
We uncover that, in contrast to the common belief, stable dissipative solitons exist in media with uniform gain in the presence of nonuniform cubic losses, whose local strength grows with coordinate η (in one dimension) faster than |η|. The spatially-inhomogeneous absorption also supports new types of solitons, that do not exist in uniform dissipative media. In particular, single-well absorption profiles give rise to spontaneous symmetry breaking of fundamental solitons in the presence of uniform focusing nonlinearity, while stable dipoles are supported by double-well absorption landscapes. Dipole solitons also feature symmetry breaking, but under defocusing nonlinearity.
我们发现，与通常的看法相反，在存在非均匀三次损耗的情况下，具有均匀增益的介质中存在稳定耗散孤子，其局部强度随坐标η（一维）的增长速度比|η|快。空间非均匀吸收也支持新型孤子，这些孤子在均匀耗散介质中不存在。特别是，单阱吸收分布在存在均匀聚焦非线性的情况下会导致基本孤子的自发对称性破缺，而双阱吸收分布则支持稳定偶极子。偶极子孤子也具有对称性破缺，但在散焦非线性情况下。
