Stable spatial plasmon solitons in IMI waveguides with gain and loss

A. Marini, D. Skryabin, B. Malomed
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Abstract

Surface Plasmon Polaritons (SPPs) provide one of the favored approaches to realization of on-chip photonic devices, novel imaging schemes and are a well established tool in sensing applications. While SPPs are exponentially localized in the direction perpendicular to the metal-dielectric interface by the natural boundary conditions, one should take a special care about suppression of their in-plane diffraction. An interesting alternative to various geometrical methods providing lateral confinement of SPPs is to use the concept of spatial solitons, where diffraction is suppressed by the nonlinearity induced focusing, see, e.g., [1]. Further, the spatial soliton concept can be extended by complementing the diffraction vs nonlinearity balance with the gain vs loss balance, thus completely solving the problem of the soliton decay due to linear absorption. Towards this aim, cubic Ginzburg-Landau equation has been derived for the SPPs at the boundary with active dielectric [2]. However, SPP solitons reported in the above work demonstrate substantial instabilities [2].
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具有增益和损耗的IMI波导中的稳定空间等离子体孤子
表面等离子激元(SPPs)是实现片上光子器件、新型成像方案和传感应用中成熟的工具之一。在自然边界条件下,SPPs在垂直于金属-介电界面的方向上呈指数局域化,但应特别注意抑制其面内衍射。提供SPPs横向约束的各种几何方法的一个有趣的替代方法是使用空间孤子的概念,其中衍射被非线性诱导聚焦抑制,参见,例如[1]。此外,通过将衍射与非线性的平衡与增益与损耗的平衡相补充,可以扩展空间孤子的概念,从而彻底解决了由于线性吸收导致的孤子衰减问题。为此,导出了具有有源介电介质边界处spp的三次金兹堡-朗道方程[2]。然而,上述工作中报道的SPP孤子表现出相当大的不稳定性[2]。
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